Rust f32::asinh

Time bar (total: 7.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
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)

sample2.8s (39.1%)

Memory
36.9MiB live, 883.8MiB allocated; 175ms collecting garbage
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-asinh: 200.0ms (98.1% of total)
ival-assert: 3.0ms (1.5% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain216.0ms (3%)

Memory
9.8MiB live, 390.4MiB allocated; 42ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-1(0.010932039469480515)(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))))
730-0-(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)))))sensitivity1131
sqrt.f32(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue730
(+.f32 (*.f32 x x) #s(literal 1 binary32))overflow73
(*.f32 x x)overflow73
Confusion
Predicted +Predicted -
+1861
-069
Precision
1.0
Recall
0.9946524064171123
Confusion?
Predicted +Predicted MaybePredicted -
+18610
-0069
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
070
1186
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms334×0valid
38.0ms178×1valid
Compiler

Compiled 114 to 31 computations (72.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-hypot: 50.0ms (55.1% of total)
ival-log: 11.0ms (12.1% of total)
ival-mult: 9.0ms (9.9% of total)
ival-add: 6.0ms (6.6% of total)
ival-copysign: 5.0ms (5.5% of total)
adjust: 5.0ms (5.5% of total)
ival-fabs: 3.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess228.0ms (3.1%)

Memory
18.0MiB live, 108.3MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
189
01212
01712
11912
22212
33012
45612
519312
6143412
7440212
0807312
Stop Event
saturated
node limit
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)
Compiler

Compiled 12 to 9 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(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)

series14.0ms (0.2%)

Memory
-25.9MiB live, 19.3MiB allocated; 10ms collecting garbage
Counts
9 → 44
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
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)
2.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1)

rewrite1.0s (13.9%)

Memory
14.3MiB live, 209.6MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02681181
13591179
23611179
33621179
43631179
53641179
63651179
73661179
0366978
11476837
08134799
18995789
211379785
314855783
418043783
520173783
621307783
721790783
821981783
922039783
1022053783
1122054783
Stop Event
saturated
node limit
saturated
Counts
53 → 111
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)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(log.f32 (+.f32 x (cosh.f32 (asinh.f32 x))))
(+.f32 x (cosh.f32 (asinh.f32 x)))
(+.f32 (cosh.f32 (asinh.f32 x)) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x (cosh.f32 (asinh.f32 x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (cosh.f32 (asinh.f32 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) x))
x
x
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x 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))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.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 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.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) (-.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)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x 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))))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(fabs.f32 (*.f32 x x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 (neg.f32 x) x))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(*.f32 x x)
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
#s(literal 1 binary32)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 #s(literal 3 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 45 binary32) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal -1/24 binary32) (fma.f32 #s(literal 3 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x #s(literal 1 binary32)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) x)))
#s(approx (fabs x) x)
#s(approx (fabs x) x)
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* x x) 1) #s(literal 1 binary32))
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 x x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)) (/.f32 x x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 x #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)) (/.f32 x x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 x x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) (/.f32 x x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) (/.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (+ (* x x) 1) (*.f32 x x))
#s(approx (+ (* x x) 1) (fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 x #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)))) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)))) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) x) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 (*.f32 x (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))

eval15.0ms (0.2%)

Memory
-14.5MiB live, 31.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 180 to 625 computations (71.3% saved)

prune4.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1045109
Fresh000
Picked101
Done000
Total1055110
Accuracy
100.0%
Counts
110 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
31.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
31.1%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
48.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))) x)
Compiler

Compiled 136 to 98 computations (27.9% saved)

series10.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
27 → 97
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))
#s(literal 1/2 binary32)
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(+.f32 x #s(literal 1 binary32))
(log1p.f32 x)
Outputs
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((copysign (asinh x) x) (asinh 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)) (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)) (neg 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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (* x x) (+ x 1) (log (+ 1 x)))
3.0ms
x
@-inf
((copysign (asinh x) x) (asinh 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)) (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)) (neg 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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (* x x) (+ x 1) (log (+ 1 x)))
2.0ms
x
@0
((copysign (asinh x) x) (asinh 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)) (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)) (neg 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)) (+ (* x x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (* x x) (+ x 1) (log (+ 1 x)))

rewrite859.0ms (11.8%)

Memory
-6.1MiB live, 281.3MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
05652536
17642534
27712534
37782534
47842534
57912534
67962534
07962143
131641976
092971952
1104491906
2129651900
3163841885
4194501884
5211061884
6217951884
7222351884
8224941884
9226221884
10226621884
11226701884
Stop Event
saturated
node limit
saturated
Counts
124 → 237
Calls
Call 1
Inputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
x
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))
(fabs.f32 x)
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))
#s(literal 1/2 binary32)
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(+.f32 x #s(literal 1 binary32))
(log1p.f32 x)
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (asinh x) #s(hole binary32 x))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))))
#s(approx (fabs x) #s(hole binary32 (fabs x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (neg x) #s(hole binary32 (* -1 x)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))))
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
Outputs
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(log.f32 (+.f32 x (cosh.f32 (asinh.f32 x))))
x
(copysign.f32 (log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))) x)
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
(log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))
x
#s(approx (sqrt (+ (* x x) 1)) x)
(copysign.f32 (log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
(log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))))
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
(neg.f32 x)
(*.f32 x #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) x)
(copysign.f32 (asinh.f32 x) x)
(asinh.f32 x)
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(log.f32 (+.f32 x (cosh.f32 (asinh.f32 x))))
(+.f32 x (cosh.f32 (asinh.f32 x)))
(+.f32 (cosh.f32 (asinh.f32 x)) x)
(-.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (cosh.f32 (asinh.f32 x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (neg.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x))))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))))
(cosh.f32 (asinh.f32 x))
(cosh.f32 (asinh.f32 (neg.f32 x)))
(cosh.f32 (neg.f32 (asinh.f32 x)))
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32)))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32)))
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x 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))))
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 x x))
(+.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))
(fma.f32 x x #s(literal 1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.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) (-.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)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x 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))))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x)))
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x))))
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x))))
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
(+.f32 (log1p.f32 x) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) (log1p.f32 x))
(-.f32 (log1p.f32 x) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))))
(/.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (log1p.f32 x) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32))) (-.f32 (log1p.f32 x) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (log1p.f32 x) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (log1p.f32 x) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 x) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (log1p.f32 x) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))))))
#s(literal 1/2 binary32)
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (neg.f32 (+.f32 x #s(literal 1 binary32)))))
(*.f32 x (/.f32 x (+.f32 x #s(literal 1 binary32))))
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#s(approx (/ (* x x) (+ x 1)) x)
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#s(approx (/ (* x x) (+ x 1)) (*.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) x)))))
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#s(approx (+ x 1) x)
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 x #s(literal -3 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
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#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32))))
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#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
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#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))))
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#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))

eval118.0ms (1.6%)

Memory
-27.9MiB live, 111.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 6 471 to 1 251 computations (80.7% saved)

prune9.0ms (0.1%)

Memory
35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2478255
Fresh000
Picked235
Done000
Total24911260
Accuracy
100.0%
Counts
260 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
31.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
28.4%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
48.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
49.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
49.6%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
49.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
49.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
19.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
50.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
Compiler

Compiled 482 to 318 computations (34% saved)

series13.0ms (0.2%)

Memory
-11.2MiB live, 35.9MiB allocated; 2ms collecting garbage
Counts
33 → 122
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32))
(*.f32 x #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
(fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (* x 1/2) #s(hole binary32 (* 1/2 x)))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6)))
#s(approx (* x 1/4) #s(hole binary32 (* 1/4 x)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* 1/4 (pow x 3))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* 1/4 x)))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 x) 1/2))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4)))))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x 1/2) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (* x x) (- (* x 1/4) 1/6) (* x 1/4) 1/4 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
4.0ms
x
@-inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x 1/2) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (* x x) (- (* x 1/4) 1/6) (* x 1/4) 1/4 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))
3.0ms
x
@inf
((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x 1/2) 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (* x x) (- (* x 1/4) 1/6) (* x 1/4) 1/4 1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)))

rewrite804.0ms (11.1%)

Memory
10.6MiB live, 242.8MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
06543372
19093372
29173372
39263372
49333372
59383372
69423372
79463372
89483372
09482936
135022696
086412654
195492603
2115002591
3145392577
4175342575
5192652575
6200152575
7204292575
8206542575
9207722575
10208072575
11208152575
Stop Event
saturated
node limit
saturated
Counts
155 → 224
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)
x
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32))
(*.f32 x #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
(fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx x #s(hole binary32 x))
#s(approx (* x 1/2) #s(hole binary32 (* 1/2 x)))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6)))
#s(approx (* x 1/4) #s(hole binary32 (* 1/4 x)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 1))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* 1/4 (pow x 4))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* 1/4 (pow x 3))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x))))))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* 1/4 x)))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 x))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 x) 1/2))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x))))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4)))))
#s(approx (- (* x 1/4) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (/ -1/2 x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)
x
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))
(*.f32 x #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) x)
#s(literal 1/2 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))
(+.f32 x (*.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))))
(+.f32 x (*.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))
(+.f32 (*.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))) x)
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x) x)
(fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x)
(fma.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x x)
(*.f32 x (fma.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
(*.f32 (fma.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)))
(+.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(fabs.f32 (*.f32 x x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(fabs.f32 (*.f32 (neg.f32 x) x))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(*.f32 x x)
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32))
(/.f32 (-.f32 (pow.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 3 binary32)) #s(literal 1/216 binary32)) (+.f32 (pow.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/36 binary32)) (fma.f32 x #s(literal 1/4 binary32) #s(literal 1/6 binary32)))
(*.f32 x #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) x)
#s(literal 1/4 binary32)
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(+.f32 #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 (+.f32 x #s(literal 1 binary32))))
(*.f32 x (/.f32 x (+.f32 x #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 x) #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
(+.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(+.f32 #s(literal 1 binary32) x)
(pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.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) (-.f32 (*.f32 x x) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(*.f32 x (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
(+.f32 x (*.f32 x (*.f32 x #s(literal -1/2 binary32))))
(+.f32 x (*.f32 (*.f32 x #s(literal -1/2 binary32)) x))
(+.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) x)
(+.f32 (*.f32 (*.f32 x #s(literal -1/2 binary32)) x) x)
(fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)
(fma.f32 (*.f32 x #s(literal -1/2 binary32)) x x)
(*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)) x)
(+.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/2 binary32)))
(+.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 1 binary32))
(fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1/2 binary32))))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 2 binary32))) (fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal 1 binary32)))
#s(literal -1/2 binary32)
(copysign.f32 (log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))) x)
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))))
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)))
(log.f32 (+.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x))
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))))
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) x) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log1p.f32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 #s(literal 3 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 x #s(literal 1 binary32))) (fma.f32 (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) #s(literal 45 binary32) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 #s(literal -1/24 binary32) (fma.f32 #s(literal 3 binary32) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal -2 binary32)) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x (fma.f32 x #s(literal -3/10 binary32) #s(literal 1/4 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
#s(approx x x)
#s(approx (* x 1/2) (*.f32 x #s(literal 1/2 binary32)))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) x)
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (fma.f32 x (*.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x)) x))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) #s(literal 1 binary32))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (fma.f32 (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (- (* x 1/4) 1/6) #s(literal -1/6 binary32))
#s(approx (- (* x 1/4) 1/6) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)))
#s(approx (* x 1/4) (*.f32 x #s(literal 1/4 binary32)))
#s(approx (/ (* x x) (+ x 1)) (*.f32 x x))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x)))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (*.f32 x x) (fma.f32 x (-.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (*.f32 x x) (fma.f32 x (-.f32 (*.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (+ x 1) #s(literal 1 binary32))
#s(approx (+ x 1) (+.f32 x #s(literal 1 binary32)))
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x (-.f32 (*.f32 x #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x (-.f32 (*.f32 x (fma.f32 x #s(literal -1/4 binary32) #s(literal 1/3 binary32))) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(approx (* x (+ (* x -1/2) 1)) x)
#s(approx (* x (+ (* x -1/2) 1)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
#s(approx (+ (* x -1/2) 1) #s(literal 1 binary32))
#s(approx (+ (* x -1/2) 1) (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(literal 1 binary32))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 x #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 x (fma.f32 x #s(literal 1/2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (fma.f32 x (fma.f32 x (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 x) (/.f32 x x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)) (/.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 x #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)) (/.f32 x x)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (log.f32 x) #s(literal 1/2 binary32)) x))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (log.f32 x) x)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (-.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (log.f32 x) x)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (+.f32 (pow.f32 x #s(literal -3 binary32)) (/.f32 #s(literal 1/2 binary32) x)))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -3 binary32)) (/.f32 #s(literal 1/6 binary32) x)))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 3 binary32))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 x #s(literal -3 binary32)) (/.f32 #s(literal 1/6 binary32) x)))))
#s(approx (- (* x 1/4) 1/6) (*.f32 x #s(literal 1/4 binary32)))
#s(approx (- (* x 1/4) 1/6) (*.f32 x (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x))))
#s(approx (/ (* x x) (+ x 1)) x)
#s(approx (/ (* x x) (+ x 1)) (*.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) x))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 x #s(literal -3 binary32))))))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (+.f32 x #s(literal 1 binary32)))
#s(approx (log (+ 1 x)) (log.f32 x))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)))
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
#s(approx (* x (+ (* x -1/2) 1)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))
#s(approx (* x (+ (* x -1/2) 1)) (*.f32 (*.f32 x x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (+ (* x -1/2) 1) (*.f32 x #s(literal -1/2 binary32)))
#s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (+.f32 x x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (+.f32 x x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 x (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 x (+.f32 #s(literal 2 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 x (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 x #s(literal -3 binary32)))) x)) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) #s(literal 1/2 binary32))) x)) #s(literal 1/2 binary32))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (* x (+ (* (* x x) (- (* x 1/4) 1/6)) 1)) (*.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))) x) #s(literal 1/4 binary32))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 binary32))))
#s(approx (+ (* (* x x) (- (* x 1/4) 1/6)) 1) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) x)) #s(literal 1/4 binary32))))
#s(approx (- (* x 1/4) 1/6) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (+.f32 (log.f32 #s(literal -1 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (+ (* x -1/2) 1) (*.f32 (neg.f32 x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal -2 binary32)))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 x x)))) x)))
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/128 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))

eval26.0ms (0.4%)

Memory
4.4MiB live, 49.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 589 to 1 315 computations (86.3% saved)

prune32.0ms (0.4%)

Memory
-13.0MiB live, 38.6MiB allocated; 22ms collecting garbage
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New2606266
Fresh303
Picked055
Done033
Total26314277
Accuracy
100.0%
Counts
277 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
31.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
28.4%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
49.6%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
49.6%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
49.7%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
48.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
48.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
7.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
47.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
49.3%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
19.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
50.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
Compiler

Compiled 582 to 375 computations (35.6% saved)

series21.0ms (0.3%)

Memory
-15.4MiB live, 30.4MiB allocated; 7ms collecting garbage
Counts
44 → 147
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
x
(fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
#s(approx (/ (* x x) (+ x 1)) (*.f32 x x))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
(fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) #s(literal 3/40 binary32))
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)))
(fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
#s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))))
(*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))
#s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) x)
Outputs
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 1))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (/ 1 x)))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 x) 1/2))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* -1/2 x)))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (- (/ 1 x) 1/2)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) -1/6) 1)) x (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) (* (* x x) (+ (* (* x x) -5/112) 3/40)) (+ (* (* x x) -5/112) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) (* x (- (/ 1 x) 1/2)) (- (/ 1 x) 1/2) (/ 1 x))
5.0ms
x
@0
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) -1/6) 1)) x (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) (* (* x x) (+ (* (* x x) -5/112) 3/40)) (+ (* (* x x) -5/112) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) (* x (- (/ 1 x) 1/2)) (- (/ 1 x) 1/2) (/ 1 x))
4.0ms
x
@inf
((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) -1/6) 1)) x (+ (* (* x x) -1/6) 1) (* x x) -1/6 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 1/2 (/ (* x x) (+ x 1)) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) -1/2 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) 3/40 1/6 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) (* (* x x) (+ (* (* x x) -5/112) 3/40)) (+ (* (* x x) -5/112) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (/ (* x x) (+ x 1)) (+ x 1) (log (+ 1 x)) (* x (+ (* x -1/2) 1)) (+ (* x -1/2) 1) (* x (- (/ 1 x) 1/2)) (- (/ 1 x) 1/2) (/ 1 x))

rewrite845.0ms (11.6%)

Memory
33.5MiB live, 259.0MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
06794274
19914270
29954268
310034266
410084266
510174266
610254266
710324266
810384266
910424266
010423851
134133613
090533575
1102323546
2126663537
3159403523
4186593522
5201613522
6207713522
7211653522
8213973522
9215203522
10215593522
11215673522
Stop Event
saturated
node limit
saturated
Counts
191 → 360
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
x
(fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
#s(approx (/ (* x x) (+ x 1)) (*.f32 x x))
#s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))))
(*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
(fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32))
#s(literal -1/2 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) #s(literal 3/40 binary32))
#s(literal 3/40 binary32)
#s(literal 1/6 binary32)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))))
(*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)))
(fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))
#s(literal -5/112 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))
(/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32)))
(+.f32 x #s(literal 1 binary32))
#s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))))
(*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))
#s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
(*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) x)
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 x))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))))
#s(approx (log (+ 1 x)) #s(hole binary32 x))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* x (+ 1 (* -1/2 x)))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 1))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2)))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 -1/6))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6)))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 3/40))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2)))))
#s(approx (+ x 1) #s(hole binary32 1))
#s(approx (+ x 1) #s(hole binary32 (+ 1 x)))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 1))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (+ 1 (* -1/2 x))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (/ 1 x)))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (/ (+ 1 (* -1/2 x)) x)))
#s(approx (/ 1 x) #s(hole binary32 (/ 1 x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* -1/6 (pow x 3))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (* -1/6 (pow x 2))))
#s(approx (+ (* (* x x) -1/6) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* 1/2 x)))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x))))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3)))))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 x))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* -1/2 (pow x 2))))
#s(approx (* x (+ (* x -1/2) 1)) #s(hole binary32 (* (pow x 2) (- (/ 1 x) 1/2))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1/2 x)))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* 3/40 (pow x 5))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* 3/40 (pow x 4))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2))))
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -5/112 (pow x 7))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* -5/112 (pow x 6))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(hole binary32 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* -5/112 (pow x 4))))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (* -5/112 (pow x 2))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))))
#s(approx (+ x 1) #s(hole binary32 x))
#s(approx (+ x 1) #s(hole binary32 (* x (+ 1 (/ 1 x)))))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* -1/2 x)))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* x (- (/ 1 x) 1/2))))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 -1/2))
#s(approx (- (/ 1 x) 1/2) #s(hole binary32 (- (/ 1 x) 1/2)))
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x)))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x)))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
#s(approx (* x (+ (* (* x x) -1/6) 1)) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))))
#s(approx (/ (* x x) (+ x 1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))))
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))))
#s(approx (+ (* x -1/2) 1) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) 3/40) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) #s(hole binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (- (/ 1 x) 1/2)) #s(hole binary32 (* -1 (* x (- 1/2 (/ 1 x))))))
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))
(+.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(+.f32 x (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) x)
(+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) x)
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)
x
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))
(+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/216 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))
(/.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/216 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(fabs.f32 (*.f32 x x))
(fabs.f32 (*.f32 (neg.f32 x) x))
(fabs.f32 (*.f32 x (neg.f32 x)))
(pow.f32 x #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 1 binary32))
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(sqrt.f32 (pow.f32 x #s(literal 4 binary32)))
(*.f32 x x)
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))) x)
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x))))
(+.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))))
(+.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))
(fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))
(fma.f32 #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(literal 1/2 binary32) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(literal 2 binary32)) (-.f32 (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(literal 2 binary32)) (pow.f32 #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x))) #s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x)))))
#s(literal 1/2 binary32)
#s(approx (/ (* x x) (+ x 1)) (*.f32 x x))
#s(approx (log (+ 1 x)) (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) x))
(+.f32 x (*.f32 x (*.f32 x #s(literal -1/2 binary32))))
(+.f32 x (*.f32 (*.f32 x #s(literal -1/2 binary32)) x))
(+.f32 (*.f32 x (*.f32 x #s(literal -1/2 binary32))) x)
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#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary32))
#s(approx (- (* (* x x) 3/40) 1/6) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)))
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#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) x)
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#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) #s(literal 1 binary32))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) #s(literal -1/6 binary32))
#s(approx (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)))
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#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) (*.f32 (*.f32 x x) #s(literal 3/40 binary32)))
#s(approx (* (* x x) (+ (* (* x x) -5/112) 3/40)) (*.f32 x (*.f32 x (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)))))
#s(approx (+ (* (* x x) -5/112) 3/40) #s(literal 3/40 binary32))
#s(approx (+ (* (* x x) -5/112) 3/40) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32)))
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#s(approx (* x (- (/ 1 x) 1/2)) (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))
#s(approx (- (/ 1 x) 1/2) (/.f32 #s(literal 1 binary32) x))
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#s(approx (/ 1 x) (/.f32 #s(literal 1 binary32) x))
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#s(approx (* x (+ (* (* x x) -1/6) 1)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))))
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x))
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#s(approx (/ (* x x) (+ x 1)) x)
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#s(approx (log (+ 1 x)) (log.f32 x))
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#s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32))))
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#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (*.f32 #s(literal -5/112 binary32) (pow.f32 x #s(literal 7 binary32))))
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#s(approx (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (-.f32 (/.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))))))
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#s(approx (+ x 1) x)
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#s(approx (- (/ 1 x) 1/2) #s(literal -1/2 binary32))
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#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 2 binary32)))))
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (neg.f32 (/.f32 x x))))
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 x #s(literal -3 binary32))) x) (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)))) x) x) x) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
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#s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32))))
#s(approx (log (+ 1 x)) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))))
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#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
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#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (neg.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (-.f32 #s(literal 5/112 binary32) (/.f32 #s(literal 3/40 binary32) (*.f32 x x))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (neg.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 5/112 binary32) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 3/40 binary32) (*.f32 x x)))))))
#s(approx (* x (+ (* (* x x) (- (* (* x x) (+ (* (* x x) -5/112) 3/40)) 1/6)) 1)) (neg.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 #s(literal 5/112 binary32) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) (fma.f32 #s(literal 3/40 binary32) (pow.f32 x #s(literal -2 binary32)) (pow.f32 x #s(literal -6 binary32))))))))
#s(approx (* x (- (/ 1 x) 1/2)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) x))))

eval53.0ms (0.7%)

Memory
0.6MiB live, 96.0MiB allocated; 20ms collecting garbage
Compiler

Compiled 19 127 to 2 514 computations (86.9% saved)

prune26.0ms (0.4%)

Memory
21.3MiB live, 67.1MiB allocated; 5ms collecting garbage
Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New5072509
Fresh011
Picked145
Done178
Total50914523
Accuracy
100.0%
Counts
523 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
31.8%
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
28.4%
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
99.6%
(copysign.f32 (asinh.f32 x) x)
49.6%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))) x x)) x)
49.7%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
49.6%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
49.6%
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
48.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
48.5%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
7.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
47.7%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
19.1%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
50.9%
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
Compiler

Compiled 920 to 368 computations (60% saved)

regimes13.0ms (0.2%)

Memory
-10.2MiB live, 35.9MiB allocated; 3ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
(copysign.f32 (asinh.f32 x) x)
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x)
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (log1p.f32 x))) x)
Outputs
(copysign.f32 (asinh.f32 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
99.6%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
99.6%1x
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes10.0ms (0.1%)

Memory
-19.1MiB live, 27.7MiB allocated; 2ms collecting garbage
Accuracy

Total -14.7b remaining (-93.2%)

Threshold costs -14.7b (-93.2%)

Stop Event
fuel
Counts
15 → 1
Calls
Call 1
Inputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x #s(literal 1/2 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 x x)) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 x #s(literal 1/4 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (*.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))) x x)) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 x (fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -5/112 binary32) #s(literal 3/40 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(approx (log (+ 1 x)) (*.f32 x #s(approx (+ (* x -1/2) 1) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1/2 binary32)))))))) x)
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 #s(literal 1/2 binary32) #s(approx (/ (* x x) (+ x 1)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) #s(approx (log (+ 1 x)) (*.f32 x (fma.f32 x #s(literal -1/2 binary32) #s(literal 1 binary32)))))) x)
Outputs
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* 1/2 (/ (* x x) (+ x 1))) (log (+ 1 x))) 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
50.9%1(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x)
50.9%1x
Compiler

Compiled 46 to 30 computations (34.8% saved)

preprocess103.0ms (1.4%)

Memory
-12.9MiB live, 49.3MiB allocated; 114ms collecting garbage
Compiler

Compiled 130 to 78 computations (40% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...