Rust f32::asinh

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze1.0ms (0%)

Memory
2.4MiB live, 2.4MiB 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)

sample514.0ms (8.8%)

Memory
-10.6MiB live, 745.7MiB allocated
Samples
325.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-asinh: 144.0ms (93.9% of total)
ival-true: 6.0ms (3.9% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

explain446.0ms (7.6%)

Memory
-163.0MiB live, 229.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1070-1(-0.022430015727877617)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
640-0-(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)))))sensitivity1051
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue640
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow64
(*.f32 x x)overflow64
log.f32(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue10
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))overflow1
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow64
(*.f32 x x)overflow64
Confusion
Predicted +Predicted -
+1691
-086
Precision
1.0
Recall
0.9941176470588236
Confusion?
Predicted +Predicted MaybePredicted -
+16910
-0086
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
087
1168
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
40.0ms166×1valid
31.0ms346×0valid
Compiler

Compiled 163 to 40 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-hypot: 16.0ms (32.6% of total)
ival-log: 11.0ms (22.4% of total)
ival-add: 6.0ms (12.2% of total)
ival-copysign: 5.0ms (10.2% of total)
ival-mult: 4.0ms (8.2% of total)
adjust: 3.0ms (6.1% of total)
ival-fabs: 3.0ms (6.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess11.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1107
2147
3177
4217
5287
6357
0912
01612
12012
02011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (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
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(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)

simplify3.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize47.0ms (0.8%)

Memory
-6.1MiB live, 42.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f32 (*.f32 x x) #s(literal 1 binary32))
accuracy0.02734375
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))
accuracy6.896879330468559
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))
accuracy10.779216136933998
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
Samples
25.0ms83×1valid
15.0ms173×0valid
Compiler

Compiled 100 to 20 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-hypot: 15.0ms (47% of total)
ival-log: 6.0ms (18.8% of total)
ival-copysign: 3.0ms (9.4% of total)
ival-add: 3.0ms (9.4% of total)
adjust: 2.0ms (6.3% of total)
ival-mult: 2.0ms (6.3% of total)
ival-fabs: 2.0ms (6.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-29.5MiB live, 8.5MiB 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)))

simplify354.0ms (6.1%)

Memory
38.1MiB live, 269.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169584
1490556
21513543
35414493
08408455
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 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (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 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (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 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (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 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (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 (fma.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)))
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (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) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) 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 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 x)
(neg.f32 x)
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (-.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)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x)))

rewrite396.0ms (6.8%)

Memory
-25.4MiB live, 183.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
01642
15142
232442
3341942
0835237
Stop Event
iter limit
node limit
iter limit
Counts
5 → 272
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 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (neg.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))))))
(*.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (neg.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (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 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #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)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 2 binary32)))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 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 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 (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/4 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #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))
(*.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))
(sqrt.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32)))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (*.f32 (neg.f32 x) x))))
(/.f32 (exp.f32 (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))))) (exp.f32 (log.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (exp.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (exp.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (exp.f32 (log1p.f32 (pow.f32 x #s(literal 6 binary32)))) (exp.f32 (log1p.f32 (fma.f32 (neg.f32 x) x (pow.f32 x #s(literal 4 binary32))))))
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) x)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) 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 2 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 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 (pow.f32 x #s(literal 12 binary32)) (pow.f32 (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))) (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -2 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 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.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 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #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 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 (+.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 18 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 x #s(literal 6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(-.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))))
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32))
(fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (+.f32 (fma.f32 x x (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (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)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) x)) (/.f32 x (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
(fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 x #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))))
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(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)))) (fma.f32 x x (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (/.f32 (*.f32 x x) (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (fabs.f32 x))
(fma.f32 (neg.f32 x) (/.f32 (neg.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(fma.f32 x (/.f32 x (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(pow.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 x x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 (neg.f32 x) x (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))
(neg.f32 (/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (exp.f32 (log.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))))
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 x #s(literal 6 binary32))))) (exp.f32 (log.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))))
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x)))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 4 binary32)) #s(literal 1/8 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (log1p.f32 (*.f32 x x))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))

eval116.0ms (2%)

Memory
10.8MiB live, 47.7MiB allocated
Compiler

Compiled 8 063 to 1 620 computations (79.9% saved)

prune81.0ms (1.4%)

Memory
-16.1MiB live, 21.6MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2999308
Fresh000
Picked011
Done000
Total29910309
Accuracy
98.7%
Counts
309 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
37.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
27.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
38.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
33.4%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
12.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 324 to 237 computations (26.9% saved)

simplify22.0ms (0.4%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
cost-diff0
(-.f32 (fabs.f32 x) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
cost-diff0
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
cost-diff0
(log.f32 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
cost-diff0
(fabs.f32 x)
cost-diff0
(log1p.f32 (fabs.f32 x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030247
047247
156247
261247
371247
487247
5134247
6196247
7263247
8359247
9433247
10487247
11525247
12548247
13554247
0554233
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(-.f32 (fabs.f32 x) #s(literal -1 binary32))
(fabs.f32 x)
x
#s(literal 1 binary32)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) 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 #s(literal -1/2 binary32) x) 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 #s(literal -1/2 binary32) x) 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 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)

localize170.0ms (2.9%)

Memory
-19.8MiB live, 62.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
accuracy0.0078125
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
accuracy0.8192374149362379
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
accuracy12.292212231321997
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
accuracy0
(-.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy0.8192374149362379
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
accuracy11.899623704114584
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
accuracy0
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
accuracy0
(fabs.f32 x)
accuracy0.8192374149362379
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
accuracy7.890393572579632
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
accuracy0
(log.f32 x)
accuracy7.664041628054927
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
accuracy0
(fabs.f32 x)
accuracy6.40512077022995
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
accuracy22.29768180748115
(log1p.f32 (fabs.f32 x))
Samples
71.0ms100×0valid
15.0ms117×0invalid
7.0ms39×1exit
Compiler

Compiled 430 to 47 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-hypot: 5.0ms (20.8% of total)
ival-log: 5.0ms (20.8% of total)
ival-add: 3.0ms (12.5% of total)
ival-div: 2.0ms (8.3% of total)
ival-copysign: 2.0ms (8.3% of total)
ival-fabs: 2.0ms (8.3% of total)
ival-sub: 2.0ms (8.3% of total)
ival-log1p: 2.0ms (8.3% of total)
adjust: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series187.0ms (3.2%)

Memory
21.7MiB live, 131.1MiB allocated
Counts
20 → 42
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) 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)))))))
(fabs x)
(log 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 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 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* 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 (* 1/2 (/ 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)))
(+ (log -1) (* -1 (log (/ -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)))) (/ 1/8 (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
96.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (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)) (- (/ -1/2 x) x))
69.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (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)) (- (/ -1/2 x) x))
21.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (- (fabs x) x) (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)) (- (/ -1/2 x) x))

simplify326.0ms (5.6%)

Memory
-3.2MiB live, 148.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177595
1500566
21525557
35344505
08465470
Stop Event
iter limit
node limit
Counts
42 → 41
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)))))))
(fabs x)
(log 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 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 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
x
(* x (+ 1 (/ (fabs x) x)))
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(* -1 x)
(* x (- (/ (fabs x) x) 1))
(* 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 (* 1/2 (/ 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)))
(+ (log -1) (* -1 (log (/ -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)))) (/ 1/8 (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 (+ (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 #s(literal 1 binary32) (fabs.f32 x))) 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 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
(fabs x)
(fabs.f32 x)
(log x)
(log.f32 x)
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 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)) (fabs.f32 x) #s(literal 1 binary32)) (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 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (fabs.f32 x) #s(literal 1 binary32)) (fabs.f32 x) #s(literal 1 binary32))
(+ (fabs x) (* -1 x))
(-.f32 (fabs.f32 x) 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 (fma.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 x)
(/.f32 #s(literal -1/2 binary32) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f32 (/.f32 #s(literal -1/2 binary32) x) 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)))
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1 binary32) x) x) (+.f32 (/.f32 (fabs.f32 x) x) (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 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1 binary32) 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 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(* -1 x)
(neg.f32 x)
(* x (- (/ (fabs x) x) 1))
(-.f32 (fabs.f32 x) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 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 (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal -1/2 binary32) (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 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x))
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x)))

rewrite287.0ms (4.9%)

Memory
19.7MiB live, 181.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030231
047231
1137231
2936219
08899205
Stop Event
iter limit
node limit
iter limit
Counts
20 → 204
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(+.f32 (fabs.f32 x) #s(literal 1 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))
(-.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (*.f32 (neg.f32 x) x))) (*.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))))) (+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))))
(/.f32 (-.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))) (+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (*.f32 (neg.f32 x) x)) (fma.f32 (log1p.f32 (neg.f32 (fabs.f32 x))) (log1p.f32 (neg.f32 (fabs.f32 x))) (*.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32))) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (log.f32 (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 (fabs.f32 x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))
(+.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (log.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(+.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(log1p.f32 (fabs.f32 x))
(*.f32 (fabs.f32 x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
(log.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(*.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 (neg.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x (+.f32 (pow.f32 x #s(literal 3 binary32)) x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(/.f32 (*.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 x x (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 x x))) (pow.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 x) x (-.f32 (fabs.f32 x) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (fma.f32 (neg.f32 x) x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(literal 1 binary32))
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(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 9 binary32))) (pow.f32 x #s(literal 9 binary32))) #s(literal 1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/8 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 x x))) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))
(/.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 0 binary32)) x)
(-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(-.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))
(-.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) x))
(-.f32 #s(literal 0 binary32) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(fma.f32 (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) (neg.f32 x))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x) (neg.f32 x))
(fma.f32 #s(literal -1 binary32) x (/.f32 #s(literal -1/2 binary32) x))
(fma.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1/2 binary32) (neg.f32 x))
(fma.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (neg.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) (neg.f32 x))
(fma.f32 (/.f32 #s(literal -1/2 binary32) x) #s(literal 1 binary32) (neg.f32 x))
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) x) (neg.f32 x))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (neg.f32 (/.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))) (neg.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))))
(+.f32 (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x))
(+.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 x))
(neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/2 binary32) x) x)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32)))))
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (*.f32 x x)) (neg.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) x) x))))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (fma.f32 x x #s(literal -1/2 binary32))))))
(neg.f32 (+.f32 x (/.f32 #s(literal 1/2 binary32) x)))
(neg.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x))

eval54.0ms (0.9%)

Memory
-20.8MiB live, 99.9MiB allocated
Compiler

Compiled 9 068 to 1 349 computations (85.1% saved)

prune9.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New2572259
Fresh044
Picked145
Done011
Total25811269
Accuracy
99.5%
Counts
269 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
37.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
27.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
38.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
12.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
5.6%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
13.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 286 to 211 computations (26.2% saved)

simplify22.0ms (0.4%)

Memory
-16.1MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f32 x)
cost-diff0
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
cost-diff0
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
cost-diff0
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
cost-diff0
(+.f32 (fabs.f32 x) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
cost-diff0
(neg.f32 x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
cost-diff0
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
cost-diff0
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
cost-diff0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
cost-diff0
(log1p.f32 (fabs.f32 (neg.f32 x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
cost-diff64
(fabs.f32 (neg.f32 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032250
050246
163246
276246
389246
4119246
5185246
6239246
7321246
8432246
9484246
10543246
11572246
12582246
0582231
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(fabs.f32 (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x)))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(log1p.f32 (fabs.f32 x))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(fabs.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.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)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))
(fabs.f32 x)
x
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(/.f32 #s(literal -1/2 binary32) x)
#s(literal -1/2 binary32)

localize88.0ms (1.5%)

Memory
-7.5MiB live, 117.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
accuracy0.02734375
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
accuracy5.9414668158029
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
accuracy14.87716543420646
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
accuracy0
(+.f32 (fabs.f32 x) x)
accuracy0
(fabs.f32 x)
accuracy5.9414668158029
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
accuracy14.673603154206436
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
accuracy0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
accuracy0
(neg.f32 x)
accuracy5.9414668158029
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
accuracy23.634074149564327
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
accuracy0
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
accuracy5.9414668158029
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
accuracy25.145411101706742
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
accuracy0
(neg.f32 x)
accuracy0
(fabs.f32 (neg.f32 x))
accuracy11.067829984970027
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
accuracy22.58006204298082
(log1p.f32 (fabs.f32 (neg.f32 x)))
Samples
26.0ms173×0valid
11.0ms39×1valid
7.0ms44×1exit
Compiler

Compiled 440 to 49 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-hypot: 9.0ms (28.2% of total)
ival-div: 4.0ms (12.5% of total)
ival-log: 4.0ms (12.5% of total)
ival-add: 3.0ms (9.4% of total)
ival-fabs: 3.0ms (9.4% of total)
adjust: 2.0ms (6.3% of total)
ival-copysign: 2.0ms (6.3% of total)
ival-log1p: 2.0ms (6.3% of total)
ival-sub: 1.0ms (3.1% of total)
ival-neg: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (1%)

Memory
25.0MiB live, 105.6MiB allocated
Counts
21 → 44
Calls
Call 1
Inputs
(fabs.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
Outputs
(fabs (neg 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)))))))
(log (+ 1 (fabs (neg 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 x)
(fabs x)
(+ x (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 x)
(/ (+ 1/2 (pow x 2)) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
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))))
(fabs (* -1 x))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs (* -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 (/ (fabs x) x)) 1)))
(* -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
37.0ms
x
@inf
((fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (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)) (- x (/ -1/2 x)))
15.0ms
x
@0
((fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (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)) (- x (/ -1/2 x)))
8.0ms
x
@-inf
((fabs (neg x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (neg x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (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)) (- x (/ -1/2 x)))

simplify204.0ms (3.5%)

Memory
-12.5MiB live, 152.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181601
1504573
21549564
35710520
08243479
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
(fabs (neg 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)))))))
(log (+ 1 (fabs (neg 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 x)
(fabs x)
(+ x (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 x)
(/ (+ 1/2 (pow x 2)) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
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))))
(fabs (* -1 x))
(* -1 (log (/ -1 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(log (+ 1 (fabs (* -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 (/ (fabs x) x)) 1)))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
(fabs (neg x))
(fabs.f32 x)
(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 #s(literal 1 binary32) (fabs.f32 x))) 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 (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) #s(literal 1/2 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))))
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (+.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) (/.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(+ 1 (fabs x))
(+.f32 #s(literal 1 binary32) (fabs.f32 x))
(+ 1 (+ (fabs x) (* 1/2 (pow x 2))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))
(+ 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 #s(literal 1 binary32) (fabs.f32 x)))
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(fma.f32 (*.f32 (fma.f32 (fma.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 #s(literal 1 binary32) (fabs.f32 x)))
(* -1 x)
(neg.f32 x)
(fabs x)
(fabs.f32 x)
(+ x (fabs x))
(+.f32 (fabs.f32 x) 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 (fma.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 x)
(/.f32 #s(literal 1/2 binary32) x)
(/ (+ 1/2 (pow x 2)) x)
(/.f32 (fma.f32 x x #s(literal 1/2 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)))
(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (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 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x))))
x
(* x (+ 1 (/ (fabs x) x)))
(+.f32 (fabs.f32 x) x)
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x))
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (+.f32 (fabs.f32 x) x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) x (/.f32 #s(literal 1/2 binary32) x)))
(fabs (* -1 x))
(fabs.f32 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 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))
(-.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x)
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))
(-.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x)
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))
(+.f32 (fabs.f32 x) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) x (fma.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 1 binary32)) (neg.f32 x) (/.f32 #s(literal -1/2 binary32) x)))

rewrite121.0ms (2.1%)

Memory
-5.8MiB live, 154.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032236
050223
1137223
2893197
09985182
Stop Event
iter limit
node limit
iter limit
Counts
21 → 256
Calls
Call 1
Inputs
(fabs.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x))))
(log1p.f32 (fabs.f32 (neg.f32 x)))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))
(+.f32 (fabs.f32 x) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x)))
(-.f32 x (/.f32 #s(literal -1/2 binary32) x))
Outputs
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 1 binary32) x)
(*.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (*.f32 x x))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x x) x)
(/.f32 x #s(literal -1 binary32))
(/.f32 x #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(-.f32 #s(literal 0 binary32) x)
(-.f32 x #s(literal 0 binary32))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal 0 binary32))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 x #s(literal 1 binary32) #s(literal 0 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 x)
(+.f32 #s(literal 0 binary32) x)
(+.f32 x #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32)))
(neg.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log.f32 (-.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 (*.f32 x x))) (*.f32 (log1p.f32 x) (log1p.f32 x))) (+.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x)))
(/.f32 (-.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 (log1p.f32 (fma.f32 x x x)) (log1p.f32 (fma.f32 x x x)))) (+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 (*.f32 x x)) (fma.f32 (log1p.f32 x) (log1p.f32 x) (*.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fma.f32 x x x)) (log1p.f32 (fma.f32 x x x)) (*.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (-.f32 x #s(literal 1 binary32))))
(-.f32 (log1p.f32 (*.f32 x x)) (log1p.f32 x))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (fma.f32 x x x)))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (log1p.f32 x)))
(fma.f32 #s(literal 2 binary32) (log.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (log1p.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(fma.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 x x)) (neg.f32 (log1p.f32 x)))
(fma.f32 #s(literal 1 binary32) (log1p.f32 (*.f32 x x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log1p.f32 (*.f32 x x)) (neg.f32 (log1p.f32 x)))
(+.f32 (log1p.f32 (*.f32 x x)) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (log1p.f32 (fma.f32 x x x))))
(+.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x))))
(log1p.f32 x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
(*.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) x)
(*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal 1 binary32) x)
(*.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) x))
(*.f32 x #s(literal -1 binary32))
(*.f32 x #s(literal 1 binary32))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 0 binary32)) (*.f32 x x))
(/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 x x))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (pow.f32 x #s(literal 3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 x x) x)
(/.f32 x #s(literal -1 binary32))
(/.f32 x #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) x) x)
(-.f32 #s(literal 0 binary32) x)
(-.f32 x #s(literal 0 binary32))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) x #s(literal 0 binary32))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) x #s(literal 0 binary32))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) x) #s(literal 0 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 0 binary32))
(fma.f32 x #s(literal 1 binary32) #s(literal 0 binary32))
(pow.f32 x #s(literal 1 binary32))
(fabs.f32 x)
(+.f32 #s(literal 0 binary32) x)
(+.f32 x #s(literal 0 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32)))
(neg.f32 x)
x
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))
#s(literal 0 binary32)
(copysign.f32 (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) x)
(log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x))
(/.f32 (-.f32 (*.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32))))) (*.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))))) (+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))))) (+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (fma.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) (*.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)))
(-.f32 (log.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)) (*.f32 x (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))))))
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (neg.f32 (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))))
(+.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))
(+.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x))))
(*.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)))
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x)))))
(*.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)))
(*.f32 #s(literal -1 binary32) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(*.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32)) (*.f32 x (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))))))
(*.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) (*.f32 x x))))
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(*.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(*.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))) (*.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))) (+.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))) (*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))) (+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (fma.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (fma.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal -3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32) (-.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(/.f32 (*.f32 (-.f32 (pow.f32 x #s(literal 9 binary32)) (/.f32 #s(literal 1/512 binary32) (pow.f32 x #s(literal 9 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) x) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 2 binary32))))
(/.f32 (fma.f32 x x (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))
(-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 0 binary32)) x)
(-.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)))
(-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))))
(-.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))
(-.f32 x (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (pow.f32 x #s(literal 1/2 binary32)) (pow.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1/2 binary32)) x)
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x) x)
(fma.f32 #s(literal -1 binary32) x (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32) x)
(fma.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32) x)
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x) x)
(fma.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32) x)
(fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x) x)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x) x)
(fma.f32 #s(literal 1 binary32) x (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 x #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(fma.f32 x #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) x))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal -1 binary32))
(+.f32 (/.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (neg.f32 (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x))) (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (-.f32 (/.f32 #s(literal 1/2 binary32) x) x) (*.f32 x x)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) x) x)
(+.f32 x (/.f32 #s(literal 1/2 binary32) x))
(neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) x))

eval29.0ms (0.5%)

Memory
-10.4MiB live, 64.2MiB allocated
Compiler

Compiled 7 703 to 1 140 computations (85.2% saved)

prune6.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New2273230
Fresh011
Picked235
Done145
Total23011241
Accuracy
99.5%
Counts
241 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
37.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
27.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
38.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
12.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
18.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Compiler

Compiled 187 to 137 computations (26.7% saved)

simplify24.0ms (0.4%)

Memory
-13.9MiB live, 24.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (fabs.f32 x) (neg.f32 x))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
cost-diff352
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
cost-diff0
#s(approx (fabs (neg x)) (fabs.f32 x))
cost-diff0
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
cost-diff0
(log1p.f32 x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
cost-diff0
(-.f32 #s(literal 1 binary32) x)
cost-diff0
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
cost-diff0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
cost-diff32
(log.f32 (-.f32 #s(literal 1 binary32) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030198
046194
160194
279194
3117194
4193194
5295194
6393188
7460188
8531188
9583188
10616188
11645188
12654188
0654177
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
(log.f32 (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
#s(approx (fabs (neg x)) (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(log.f32 (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x)))
(log.f32 (-.f32 #s(literal 1 binary32) x))
(log1p.f32 (neg.f32 x))
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
#s(approx (fabs (neg x)) (fabs.f32 x))
(fabs.f32 x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x)))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
x
(neg.f32 x)
(log.f32 (/.f32 #s(literal -1 binary32) x))
(/.f32 #s(literal -1 binary32) x)
#s(literal -1 binary32)

localize154.0ms (2.6%)

Memory
-5.6MiB live, 117.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f32 x)
accuracy0.01171875
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
accuracy0.015625
(log.f32 (/.f32 #s(literal -1 binary32) x))
accuracy6.687165680397075
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
accuracy0
(fabs.f32 x)
accuracy0
#s(approx (fabs (neg x)) (fabs.f32 x))
accuracy0.3654453304901799
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
accuracy1.1453504907720349
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
accuracy6.452638019207395
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
accuracy7.278470818200985
(log1p.f32 x)
accuracy0
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
accuracy0
(-.f32 #s(literal 1 binary32) x)
accuracy0.3654453304901799
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
accuracy5.545087629994902
(log.f32 (-.f32 #s(literal 1 binary32) x))
Samples
101.0ms200×0invalid
18.0ms44×1valid
2.0ms12×0valid
Compiler

Compiled 342 to 51 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-log: 14.0ms (33.4% of total)
ival-hypot: 6.0ms (14.3% of total)
ival-div: 5.0ms (11.9% of total)
ival-log1p: 4.0ms (9.5% of total)
ival-fabs: 3.0ms (7.2% of total)
ival-sub: 3.0ms (7.2% of total)
adjust: 2.0ms (4.8% of total)
ival-copysign: 2.0ms (4.8% of total)
ival-add: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series53.0ms (0.9%)

Memory
22.3MiB live, 101.5MiB allocated
Counts
17 → 52
Calls
Call 1
Inputs
(log.f32 (-.f32 #s(literal 1 binary32) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
(-.f32 #s(literal 1 binary32) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
#s(approx (fabs (neg x)) (fabs.f32 x))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
(log.f32 (/.f32 #s(literal -1 binary32) x))
Outputs
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(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
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(log (+ 1 (fabs (neg x))))
(fabs (neg x))
(* -1 (/ (fabs x) x))
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(fabs x)
(+ (log -1) (* -1 (log x)))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (- (/ 1 x) 1))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(+ (log -1) (log (/ 1 x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) 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 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(log (+ 1 (fabs (* -1 x))))
(fabs (* -1 x))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(log (/ -1 x))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
x
@inf
((log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 1 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (- (/ (fabs x) (neg x)) (log (/ -1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (fabs x) (neg x)) (fabs x) (log (/ -1 x)))
18.0ms
x
@0
((log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 1 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (- (/ (fabs x) (neg x)) (log (/ -1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (fabs x) (neg x)) (fabs x) (log (/ -1 x)))
14.0ms
x
@-inf
((log (- 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (- 1 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs (neg x)))) (fabs (neg x)) (- (/ (fabs x) (neg x)) (log (/ -1 x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (/ (fabs x) (neg x)) (fabs x) (log (/ -1 x)))

simplify156.0ms (2.7%)

Memory
-15.0MiB live, 148.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200658
1549602
21541587
35346556
08407519
Stop Event
iter limit
node limit
Counts
52 → 51
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(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
(+ 1 (* -1 x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(log (+ 1 (fabs (neg x))))
(fabs (neg x))
(* -1 (/ (fabs x) x))
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(fabs x)
(+ (log -1) (* -1 (log x)))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(* x (- (/ 1 x) 1))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -1 (+ (log -1) (log (/ 1 x))))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(+ (log -1) (log (/ 1 x)))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) 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 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(log (+ 1 (fabs (* -1 x))))
(fabs (* -1 x))
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(log (/ -1 x))
Outputs
(* -1 x)
(neg.f32 x)
(* x (- (* -1/2 x) 1))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x)
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x)
(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 #s(literal 1 binary32) (fabs.f32 x))) 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 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.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 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) #s(literal 45 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 3 binary32))) #s(literal 1/720 binary32)) (*.f32 x x))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))))
1
#s(literal 1 binary32)
(+ 1 (* -1 x))
(-.f32 #s(literal 1 binary32) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal 1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1 binary32)) x)
(log (+ 1 (fabs (neg x))))
(log1p.f32 (fabs.f32 x))
(fabs (neg x))
(fabs.f32 x)
(* -1 (/ (fabs x) x))
(/.f32 (fabs.f32 x) (neg.f32 x))
(/ (+ (* -1 (fabs x)) (* -1 (* x (+ (log -1) (* -1 (log x)))))) x)
(/.f32 (fma.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)) x (fabs.f32 x)) (neg.f32 x))
(fabs x)
(fabs.f32 x)
(+ (log -1) (* -1 (log x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(-.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x)) (-.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x) x) (log.f32 x)))
(* -1 (log (/ 1 x)))
(log.f32 x)
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x))
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))
(fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))
(fma.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) #s(literal 1/2 binary32) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))))
(* x (- (/ 1 x) 1))
(-.f32 #s(literal 1 binary32) x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(-.f32 (log.f32 x) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1 binary32)) x) (log.f32 x))
(* -1 (+ (log -1) (log (/ 1 x))))
(-.f32 (log.f32 x) (log.f32 #s(literal -1 binary32)))
(- (* -1 (/ (fabs x) x)) (+ (log -1) (log (/ 1 x))))
(-.f32 (-.f32 (log.f32 x) (log.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) x))
(+ (log -1) (log (/ 1 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(* -1 (log (/ -1 x)))
(log.f32 (neg.f32 x))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 #s(literal 1 binary32) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(+.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) x)) x) #s(literal -1 binary32)) x) (log.f32 (neg.f32 x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) (fabs.f32 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)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) x) (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) x)) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f32 #s(literal 1 binary32) x)
(+ (log -1) (* -1 (log (/ -1 x))))
(+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 #s(literal -1 binary32))) (log.f32 (neg.f32 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f32 (+.f32 (log.f32 (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) x))
(log (+ 1 (fabs (* -1 x))))
(log1p.f32 (fabs.f32 x))
(fabs (* -1 x))
(fabs.f32 x)
(- (* -1 (/ (fabs x) x)) (log (/ -1 x)))
(-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))
(log (/ -1 x))
(log.f32 (/.f32 #s(literal -1 binary32) x))

rewrite50.0ms (0.9%)

Memory
20.4MiB live, 59.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
046181
1140178
0952167
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 96
Calls
Call 1
Inputs
(log.f32 (-.f32 #s(literal 1 binary32) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x)))
(-.f32 #s(literal 1 binary32) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log1p.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
#s(approx (fabs (neg x)) (fabs.f32 x))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/.f32 (fabs.f32 x) (neg.f32 x))
(fabs.f32 x)
(log.f32 (/.f32 #s(literal -1 binary32) x))
Outputs
(log.f32 (-.f32 #s(literal 1 binary32) x))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 x))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32)))) (log1p.f32 (fma.f32 x x x)))
(log1p.f32 (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 x)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (*.f32 #s(literal 1 binary32) (neg.f32 x)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (neg.f32 x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) x)
(fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))
(fma.f32 x #s(literal -1 binary32) #s(literal 1 binary32))
(+.f32 (neg.f32 x) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
(log.f32 (+.f32 x #s(literal 1 binary32)))
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x)))
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x)))
(log1p.f32 x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x))))
(log.f32 (+.f32 #s(approx (fabs (neg x)) (fabs.f32 x)) #s(literal 1 binary32)))
(-.f32 (log1p.f32 (neg.f32 (pow.f32 #s(approx (fabs (neg x)) (fabs.f32 x)) #s(literal 2 binary32)))) (log1p.f32 (neg.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))))
(-.f32 (log1p.f32 (pow.f32 #s(approx (fabs (neg x)) (fabs.f32 x)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 #s(approx (fabs (neg x)) (fabs.f32 x)) #s(literal 2 binary32)) #s(approx (fabs (neg x)) (fabs.f32 x)))))
(log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))
(*.f32 #s(approx (fabs (neg x)) (fabs.f32 x)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(approx (fabs (neg x)) (fabs.f32 x)))
#s(approx (fabs (neg x)) (fabs.f32 x))
(*.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(*.f32 (-.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (neg.f32 x))))
(/.f32 (+.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (pow.f32 (log.f32 (neg.f32 x)) #s(literal 3 binary32))) (+.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 (log.f32 (neg.f32 x)) (log.f32 (neg.f32 x))) (*.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (neg.f32 x))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(/.f32 (neg.f32 (-.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x)))))
(/.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(/.f32 (-.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x))) (-.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x)))))
(-.f32 (/.f32 (neg.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal 3 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (*.f32 x x) (*.f32 x x)))))
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))
(fma.f32 (*.f32 (fabs.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x) (log.f32 (neg.f32 x)))
(fma.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x) (log.f32 (neg.f32 x)))
(fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (neg.f32 x)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x) (log.f32 (neg.f32 x)))
(fma.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 x) (neg.f32 x)))
(fma.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x) (log.f32 (neg.f32 x)))
(fma.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (neg.f32 x)))
(+.f32 (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 #s(literal -1 binary32))) (log.f32 x))
(+.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) (neg.f32 x)))
(+.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (neg.f32 x)))
(neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 (/.f32 #s(literal -1 binary32) x))))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (neg.f32 x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x) (log.f32 (neg.f32 x))))
(*.f32 (*.f32 (fabs.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (neg.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal -1 binary32) x) (fabs.f32 x))
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x))
(*.f32 (fabs.f32 x) (/.f32 #s(literal -1 binary32) x))
(*.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) (neg.f32 x)))
(/.f32 (/.f32 (fabs.f32 x) #s(literal -1 binary32)) x)
(/.f32 (*.f32 (fabs.f32 x) #s(literal -1 binary32)) x)
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 x))
(/.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (neg.f32 x))
(/.f32 (neg.f32 (fabs.f32 x)) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 x) (fabs.f32 x))))
(/.f32 (fabs.f32 x) (neg.f32 x))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (fabs.f32 x)))
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) x))
(pow.f32 (/.f32 (neg.f32 x) (fabs.f32 x)) #s(literal -1 binary32))
(neg.f32 (/.f32 (fabs.f32 x) x))
(*.f32 #s(literal 1 binary32) (fabs.f32 x))
(fabs.f32 (-.f32 x #s(literal 0 binary32)))
(fabs.f32 (neg.f32 x))
(fabs.f32 x)
(log.f32 (/.f32 #s(literal -1 binary32) x))
(/.f32 (-.f32 (*.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32))) (*.f32 (log.f32 x) (log.f32 x))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal -1 binary32)) (fma.f32 (log.f32 x) (log.f32 x) (*.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x)))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 x))
(+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) x)))
(neg.f32 (log.f32 (neg.f32 x)))

eval18.0ms (0.3%)

Memory
-4.4MiB live, 32.0MiB allocated
Compiler

Compiled 3 974 to 701 computations (82.4% saved)

prune12.0ms (0.2%)

Memory
-15.3MiB live, 21.5MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New1388146
Fresh000
Picked224
Done077
Total14017157
Accuracy
99.5%
Counts
157 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
27.2%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
37.0%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
27.8%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
38.0%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
12.5%
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
13.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
18.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
23.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
17.0%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
16.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
48.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
48.4%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
Compiler

Compiled 755 to 354 computations (53.1% saved)

regimes21.0ms (0.4%)

Memory
-9.0MiB live, 34.6MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) x)
Outputs
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

14.0ms
x
6.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
98.3%3x
98.3%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes12.0ms (0.2%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)
Calls

2 calls:

6.0ms
x
5.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
97.9%3x
97.9%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes14.0ms (0.2%)

Memory
-10.8MiB live, 26.3MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (neg.f32 x)) (/.f32 (fabs.f32 x) x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

8.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
97.7%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.2%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)
Calls

2 calls:

5.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
85.6%3x
85.6%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes22.0ms (0.4%)

Memory
-22.4MiB live, 14.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 (neg.f32 x)))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
Calls

2 calls:

16.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
5.0ms
x
Results
AccuracySegmentsBranch
67.1%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
67.1%3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)
Calls

2 calls:

4.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
67.0%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
67.0%3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
Outputs
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

4.0ms
x
4.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
67.0%3(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
67.0%3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes20.0ms (0.3%)

Memory
-20.0MiB live, 17.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x)
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary32))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 #s(approx (fabs (neg x)) (fabs.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)
Calls

2 calls:

15.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
4.0ms
x
Results
AccuracySegmentsBranch
59.6%2x
59.6%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes5.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (+ 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal -1 binary32)) x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) x #s(literal -1/3 binary32)) x #s(literal -1/2 binary32)) x #s(literal -1 binary32)) x))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x)
Calls

2 calls:

2.0ms
x
2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Results
AccuracySegmentsBranch
51.6%2x
51.6%2(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Accuracy

Total -7.1b remaining (-42.8%)

Threshold costs -7.1b (-42.8%)

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

2 calls:

2.0ms
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
2.0ms
x
Results
AccuracySegmentsBranch
48.4%1x
48.4%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14178353548049927
5.6643595695495605
0.0ms
-0.9141818284988403
-0.18911002576351166
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14178353548049927
5.6643595695495605
0.0ms
-1.2408058643341064
-0.9141818284988403
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch5.0ms (0.1%)

Memory
-41.5MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14178353548049927
5.6643595695495605
0.0ms
-1.2408058643341064
-0.9141818284988403
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.14225901663303375
144.1999053955078
0.0ms
-1.5846240520477295
-1.0469443798065186
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.14225901663303375
144.1999053955078
0.0ms
-1.5846240520477295
-1.0469443798065186
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.14225901663303375
144.1999053955078
0.0ms
-14.303071975708008
-1.5846240520477295
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.14225901663303375
144.1999053955078
0.0ms
-14.303071975708008
-1.5846240520477295
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14178353548049927
5.6643595695495605
Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.14178353548049927
5.6643595695495605
Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify31.0ms (0.5%)

Memory
11.8MiB live, 87.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088631
1106631
2121631
3130631
4136631
5138631
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -3/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fabs.f32 x) x))) x)))
(if (<=.f32 x #s(literal -3/2 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (-.f32 #s(literal 1 binary32) x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (+.f32 x #s(literal 1 binary32)))) x)))
(if (<=.f32 x #s(literal -10 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))) x) (if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (- (/ (fabs x) (neg x)) (log (/ -1 x))) (/.f32 (fabs.f32 x) (neg.f32 x)))) x))
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)
Outputs
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))))) x)))
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 x x))) (fabs.f32 x))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x) (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 x (/.f32 #s(literal -1/2 binary32) x))) (fabs.f32 x))) x)))
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(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (log (- 1 x)) (neg.f32 x))) x)

soundness1.5s (25.8%)

Memory
22.0MiB live, 809.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
046181
1140178
0952167
0169584
1490556
21513543
35414493
08408455
032236
050223
1137223
2893197
09985182
030231
047231
1137231
2936219
08899205
0200658
1549602
21541587
35346556
08407519
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 046 to 414 computations (60.4% saved)

preprocess126.0ms (2.2%)

Memory
9.9MiB live, 126.3MiB allocated
Compiler

Compiled 1 326 to 218 computations (83.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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