Rust f32::asinh

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

sample702.0ms (16.9%)

Memory
19.0MiB live, 686.9MiB allocated
Samples
431.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-asinh: 211.0ms (96% of total)
ival-true: 6.0ms (2.7% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain214.0ms (5.2%)

Memory
26.3MiB live, 357.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-1(0.020204104483127594)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
780-0-(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)))))sensitivity1141
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue780
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow78
(*.f32 x x)overflow78
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue20
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow2
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow78
(*.f32 x x)overflow78
Confusion
Predicted +Predicted -
+1922
-062
Precision
1.0
Recall
0.9896907216494846
Confusion?
Predicted +Predicted MaybePredicted -
+19211
-0062
Precision?
1.0
Recall?
0.9948453608247423
Freqs
test
numberfreq
064
1190
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
58.0ms358×0valid
58.0ms154×1valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-hypot: 44.0ms (55.4% of total)
ival-log: 14.0ms (17.6% of total)
ival-add: 6.0ms (7.6% of total)
ival-copysign: 5.0ms (6.3% of total)
ival-mult: 4.0ms (5% of total)
adjust: 3.0ms (3.8% of total)
ival-fabs: 3.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess42.0ms (1%)

Memory
-6.7MiB live, 38.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
0912
01612
12412
24212
36912
48412
08411
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 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 12 to 9 computations (25% saved)

simplify4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB 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-diff1
(+.f32 (*.f32 x x) #s(literal 1 binary32))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01649
12449
24249
36949
48449
08444
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 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(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)

localize74.0ms (1.8%)

Memory
-29.1MiB live, 76.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy0.03515625
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy8.33563536600311
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
53.0ms179×0valid
14.0ms77×1valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-hypot: 43.0ms (71.7% of total)
ival-log: 6.0ms (10% of total)
ival-copysign: 3.0ms (5% of total)
ival-add: 3.0ms (5% of total)
adjust: 2.0ms (3.3% of total)
ival-mult: 2.0ms (3.3% of total)
ival-fabs: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
5 → 38
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)))
Outputs
1
(+ 1 (pow x 2))
(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 (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))))))
(+ 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)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -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))))
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)))))
(* 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 (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 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 (* 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)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
2.0ms
x
@-inf
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))
1.0ms
x
@inf
((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

simplify168.0ms (4.1%)

Memory
-0.9MiB live, 200.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169584
1568546
22202528
08591488
Stop Event
iter limit
node limit
Counts
38 → 37
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(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 (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))))))
(+ 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)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -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))))
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)))))
(* 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 (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 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 (* 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
1
#s(literal 1 binary32)
(+ 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 (sqrt.f32 (fma.f32 x x #s(literal 1 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 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) 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 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x 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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #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 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.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))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 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 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
x
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))

rewrite192.0ms (4.6%)

Memory
17.0MiB live, 280.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01630
15622
237517
3491617
0825116
Stop Event
iter limit
node limit
iter limit
Counts
5 → 461
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)))
Outputs
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (sin.f32 (acos.f32 x)))
(*.f32 (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))))
(*.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))))
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))))
(*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sin.f32 (acos.f32 x))))
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 x)))
(*.f32 (fma.f32 x x #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 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 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (sin.f32 (acos.f32 x))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x)))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 x))) (sinh.f32 (acosh.f32 x)))
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 x))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) #s(literal 2 binary32))
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x)))) (sinh.f32 (acosh.f32 x)))
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (+.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x))))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (sinh.f32 (acosh.f32 x)) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (sinh.f32 (acosh.f32 x))))
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)))
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 2 binary32)))
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(/.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 2 binary32))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sin.f32 (acos.f32 x)))
(-.f32 (*.f32 (cosh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (cosh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) (*.f32 (sinh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (sinh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))))
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (cosh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (sinh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))))
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))))
(-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (*.f32 (sinh.f32 (asinh.f32 (*.f32 x x))) x))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32))
(pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))
(pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(sin.f32 (acos.f32 (exp.f32 (log.f32 x))))
(sin.f32 (acos.f32 x))
(fabs.f32 (neg.f32 (sin.f32 (acos.f32 x))))
(fabs.f32 (sin.f32 (acos.f32 x)))
(+.f32 (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (sin.f32 (acos.f32 x)))) (sinh.f32 (log.f32 (sin.f32 (acos.f32 x)))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sin.f32 (acos.f32 x))))
(cosh.f32 (asinh.f32 (exp.f32 (log.f32 x))))
(cosh.f32 (asinh.f32 x))
(cos.f32 (asin.f32 (exp.f32 (log.f32 x))))
(cos.f32 (asin.f32 x))

eval72.0ms (1.7%)

Memory
-21.3MiB live, 164.5MiB allocated
Compiler

Compiled 11 787 to 2 608 computations (77.9% saved)

prune9.0ms (0.2%)

Memory
35.4MiB live, 35.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4934497
Fresh000
Picked011
Done000
Total4935498
Accuracy
100.0%
Counts
498 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
29.5%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
28.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
30.9%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
Compiler

Compiled 87 to 63 computations (27.6% saved)

simplify98.0ms (2.4%)

Memory
-25.3MiB live, 118.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
cost-diff2
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
cost-diff4
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
cost-diff0
(asinh.f32 x)
cost-diff0
(copysign.f32 (asinh.f32 x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038382
063382
183382
2125382
3212382
4417362
51093362
62296357
73580357
85572357
08302339
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
#s(literal -1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fabs.f32 x)
x
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
Outputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
#s(literal -1 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x)))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
#s(literal 1/16 binary32)
(pow.f32 x #s(literal 6 binary32))
#s(literal 6 binary32)
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(literal -1/2 binary32)
(*.f32 x x)
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))
(fabs.f32 x)
x
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)

localize231.0ms (5.6%)

Memory
-13.2MiB live, 233.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.03515625
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
accuracy8.33563536600311
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
accuracy13.805590833259593
#s(approx (+ (* x x) 1) (*.f32 x x))
accuracy7.324218864207205
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
accuracy14.242670672061816
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
accuracy22.92349708434643
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
accuracy0.46899197554685146
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
accuracy6.014751592586797
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
accuracy22.08698604369715
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
accuracy0.0
(copysign.f32 (asinh.f32 x) x)
accuracy0.14453125
(asinh.f32 x)
Samples
99.0ms179×0valid
68.0ms77×1valid
Compiler

Compiled 241 to 30 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-sub: 90.0ms (59.5% of total)
ival-fabs: 10.0ms (6.6% of total)
ival-pow: 8.0ms (5.3% of total)
ival-div: 6.0ms (4% of total)
ival-add: 6.0ms (4% of total)
ival-mult: 6.0ms (4% of total)
ival-hypot: 6.0ms (4% of total)
ival-copysign: 5.0ms (3.3% of total)
ival-log: 5.0ms (3.3% of total)
adjust: 4.0ms (2.6% of total)
ival-asinh: 4.0ms (2.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
24.0MiB live, 23.9MiB allocated
Counts
20 → 67
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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 (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))))))
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(fabs 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)))))
(/ -1/2 (pow x 2))
(/ 1/16 (pow x 6))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -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))))
(* 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)))))
(* 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))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -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 (* 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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -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)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((copysign (asinh x) x) (asinh x) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
3.0ms
x
@inf
((copysign (asinh x) x) (asinh x) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1) (sqrt (+ (* x x) 1)))
2.0ms
x
@-inf
((copysign (asinh x) x) (asinh x) (* (+ (/ -1/2 (* x x)) -1) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1) (sqrt (+ (* x x) 1)))

simplify288.0ms (6.9%)

Memory
-5.1MiB live, 326.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248955
1784903
22817884
08249832
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) 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 (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))))))
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(fabs 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)))))
(/ -1/2 (pow x 2))
(/ 1/16 (pow x 6))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(+ 1 (pow x 2))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -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))))
(* 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)))))
(* 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))))
(/ 1/2 (pow x 2))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -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 (* 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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -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
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x)
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 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 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) 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 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x 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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #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 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/ 1/16 (pow x 5))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(fabs x)
(fabs.f32 x)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(/ -1/2 (pow x 2))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
(/ 1/16 (pow x 6))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32)))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32)) (log.f32 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 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(/ 1/2 (pow x 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f32 x x #s(literal 1 binary32))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1/2 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.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 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32)) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))

rewrite232.0ms (5.6%)

Memory
19.8MiB live, 248.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038319
063295
1208295
21572285
09646274
Stop Event
iter limit
node limit
iter limit
Counts
20 → 304
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
(/.f32 #s(literal -1/2 binary32) (*.f32 x x))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
(-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
Outputs
(copysign.f32 (asinh.f32 x) x)
(log.f32 (exp.f32 (asinh.f32 x)))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(asinh.f32 x)
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 #s(literal -1 binary32) x))
(fma.f32 x #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x #s(literal -1 binary32)))
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x))
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x) (*.f32 #s(literal -1 binary32) x))
(+.f32 (*.f32 x #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
(+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x #s(literal -1 binary32)))
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x))
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(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 12 binary32)))
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 (+.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32)))))
(-.f32 (/.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)))))) (/.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)))))))
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal -1/8 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/8 binary32)) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal -1/8 binary32)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 12 binary32))))
(-.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 12 binary32))) (/.f32 (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 12 binary32))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))) (/.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/64 binary32)) (pow.f32 x #s(literal 8 binary32))))))
(-.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
#s(approx (+ (* x x) 1) (*.f32 x x))
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)))
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32))
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32))
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32)))
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(*.f32 (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))))
(*.f32 (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)))
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))
(fabs.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sinh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))))
(exp.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))

eval152.0ms (3.7%)

Memory
-42.7MiB live, 108.6MiB allocated
Compiler

Compiled 17 274 to 2 500 computations (85.5% saved)

prune7.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4193422
Fresh000
Picked314
Done011
Total4225427
Accuracy
100.0%
Counts
427 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.4%
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
35.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
28.7%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
32.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
Compiler

Compiled 107 to 76 computations (29% saved)

simplify178.0ms (4.3%)

Memory
2.1MiB live, 146.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
cost-diff0
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
cost-diff0
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
cost-diff4
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047461
067461
193461
2143461
3240461
4472441
51175441
62196419
73590413
85855413
97611413
08325389
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 x x)
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
x
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
#s(literal 1/8 binary32)
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(*.f32 x x)
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
(*.f32 x x)
x

localize152.0ms (3.7%)

Memory
19.1MiB live, 251.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy7.6876959555837665
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
accuracy8.33563536600311
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
accuracy11.622255574532481
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
accuracy13.805590833259593
#s(approx (+ (* x x) 1) (*.f32 x x))
accuracy4.761718823898781
(-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
accuracy14.759854087432364
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))
accuracy22.92349708434643
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))
accuracy0.03515625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
accuracy11.772386196561973
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
accuracy13.881386333833706
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
accuracy22.08698604369715
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
Samples
96.0ms141×1valid
34.0ms115×0valid
Compiler

Compiled 215 to 37 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
ival-sub: 21.0ms (19.2% of total)
ival-mult: 13.0ms (11.9% of total)
ival-div: 12.0ms (11% of total)
ival-log: 12.0ms (11% of total)
adjust: 10.0ms (9.1% of total)
ival-pow: 9.0ms (8.2% of total)
ival-add: 9.0ms (8.2% of total)
ival-hypot: 8.0ms (7.3% of total)
ival-copysign: 6.0ms (5.5% of total)
ival-fabs: 6.0ms (5.5% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
18 → 79
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
(fabs.f32 x)
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))
(-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
Outputs
(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 (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))))))
(fabs x)
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(/ 1/8 (pow x 4))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4))
(+ 1 (pow x 2))
(* -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))))
(* 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)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 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
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -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 (* 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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (+ (* x x) 1))
1.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (+ (* x x) 1))
1.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (* (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/8 (pow x 4)) 1) (/ 1/2 (* x x))) (+ (* x x) 1))

simplify220.0ms (5.3%)

Memory
-12.1MiB live, 266.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771092
18941038
231831019
08266955
Stop Event
iter limit
node limit
Counts
79 → 78
Calls
Call 1
Inputs
(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 (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))))))
(fabs x)
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ 1/16 (pow x 5))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(/ 1/8 (pow x 4))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4))
(+ 1 (pow x 2))
(* -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))))
(* 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)))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 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
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -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 (* 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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
Outputs
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 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 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) x) 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 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x 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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 45 binary32)) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(+ 1 (fabs x))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))
(fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #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 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(fabs x)
(fabs.f32 x)
(/ -1/8 (pow x 3))
(/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1/2 binary32)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (-.f32 (fma.f32 #s(literal -5/112 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 3/40 binary32) (*.f32 x x))) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)) x)
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32) (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32))) x #s(literal 1 binary32))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x)
(/ 1/16 (pow x 5))
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5))
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5))
(/.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32)))
(/ 1/8 (pow x 4))
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 4))
(/.f32 (fma.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))
(+ 1 (pow x 2))
(fma.f32 x x #s(literal 1 binary32))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 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 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)))
(* x (+ 1 (/ (fabs x) x)))
(fma.f32 (/.f32 (fabs.f32 x) x) x x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x)
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))) x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #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))
(* -1 (log (/ -1 x)))
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(*.f32 (+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(*.f32 (neg.f32 x) (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) 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))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/2 binary32)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #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 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32)))))

rewrite204.0ms (4.9%)

Memory
-31.0MiB live, 279.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047422
067398
1238398
21935380
09023365
Stop Event
iter limit
node limit
iter limit
Counts
18 → 237
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))
(fabs.f32 x)
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x))))
#s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))
(-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
#s(approx (+ (* x x) 1) (*.f32 x x))
Outputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) (-.f32 (*.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))))
(/.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))
(/.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
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eval43.0ms (1%)

Memory
-8.2MiB live, 80.7MiB allocated
Compiler

Compiled 19 919 to 1 888 computations (90.5% saved)

prune5.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3311332
Fresh000
Picked213
Done022
Total3334337
Accuracy
100.0%
Counts
337 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
32.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify172.0ms (4.2%)

Memory
-9.8MiB live, 85.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
cost-diff0
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
cost-diff0
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
cost-diff0
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01594
01894
13094
26194
312694
429374
584974
6184474
7247274
8272774
9280674
10285674
11289674
12338474
13360374
14445874
15504274
16576074
17701574
18793674
0803070
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
x
Outputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
x

localize69.0ms (1.7%)

Memory
36.4MiB live, 126.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy7.6876959555837665
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
accuracy11.622255574532481
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
accuracy22.08698604369715
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
accuracy31.31355520131643
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
Samples
49.0ms141×1valid
11.0ms115×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-hypot: 27.0ms (54.3% of total)
ival-log: 6.0ms (12.1% of total)
ival-add: 4.0ms (8% of total)
ival-mult: 4.0ms (8% of total)
adjust: 3.0ms (6% of total)
ival-copysign: 3.0ms (6% of total)
ival-div: 2.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
-9.4MiB live, 42.4MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
Outputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 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))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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)))))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@0
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x))
1.0ms
x
@-inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x))
1.0ms
x
@inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x))

simplify205.0ms (5%)

Memory
-3.5MiB live, 193.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133465
1392457
21162449
34121447
08210426
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 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)))))
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* 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))))))
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -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
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x)
1
#s(literal 1 binary32)
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32))
(+ 1 (* 1/2 (pow x 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32))
(/ -1/2 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x)
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) (/.f32 #s(literal -5/128 binary32) (pow.f32 x #s(literal 7 binary32))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(neg.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x))

rewrite144.0ms (3.5%)

Memory
-16.3MiB live, 216.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01593
01881
17681
253681
3673281
0814081
Stop Event
iter limit
node limit
iter limit
Counts
5 → 89
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)
Outputs
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
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(fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 4 binary32)) (pow.f32 (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x) #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 6 binary32)))) (fma.f32 (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x) (-.f32 (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 4 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3/2 binary32)) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3/2 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(fma.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(+.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))
(neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))
(neg.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)

eval17.0ms (0.4%)

Memory
11.0MiB live, 56.0MiB allocated
Compiler

Compiled 13 238 to 651 computations (95.1% saved)

prune7.0ms (0.2%)

Memory
-22.1MiB live, 24.0MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done033
Total1244128
Accuracy
100.0%
Counts
128 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.4%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
32.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
27.7%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
99.5%
(copysign.f32 (asinh.f32 x) x)
Compiler

Compiled 265 to 129 computations (51.3% saved)

regimes6.0ms (0.1%)

Memory
30.5MiB live, 30.4MiB allocated
Accuracy

Total -31.4b remaining (-21694.6%)

Threshold costs -31.4b (-21694.6%)

Counts
9 → 1
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x)
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x)
(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) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)))) x)
Outputs
(copysign.f32 (asinh.f32 x) x)
Calls

2 calls:

3.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
99.5%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.5%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify16.0ms (0.4%)

Memory
-9.2MiB live, 42.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
Stop Event
saturated
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
Outputs
(copysign.f32 (asinh.f32 x) x)

derivations123.0ms (3%)

Memory
-17.3MiB live, 118.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01630
15622
237517
3491617
0825116
Stop Event
done
iter limit
node limit
iter limit
Compiler

Compiled 4 to 3 computations (25% saved)

preprocess50.0ms (1.2%)

Memory
20.7MiB live, 74.3MiB allocated
Compiler

Compiled 72 to 44 computations (38.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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