Rust f32::acosh

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample559.0ms (21%)

Memory
-2.5MiB live, 800.8MiB allocated; 169ms collecting garbage
Samples
351.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-acosh: 119.0ms (55.3% of total)
ival->=: 84.0ms (39.1% of total)
exact: 7.0ms (3.3% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain169.0ms (6.4%)

Memory
12.2MiB live, 211.3MiB allocated; 59ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
40-0-(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
00-0-(-.f32 (*.f32 x x) #s(literal 1 binary32))
00-0-(*.f32 x x)
00-0-#s(literal 1 binary32)
00-0-(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f32(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))oflow-rescue1240
(*.f32 x x)overflow124
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow124
log.f32(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))oflow-rescue40
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))overflow4
(*.f32 x x)overflow124
(-.f32 (*.f32 x x) #s(literal 1 binary32))overflow124
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0132
1120
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 7.0ms (30.3% of total)
ival-log: 5.0ms (21.7% of total)
ival-mult: 4.0ms (17.3% of total)
ival-sqrt: 4.0ms (17.3% of total)
ival-add: 3.0ms (13% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess130.0ms (4.9%)

Memory
15.7MiB live, 112.0MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
079
0129
1229
2499
31219
43839
523359
678899
080198
Stop Event
iter limit
node limit
iter limit
saturated
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Outputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series14.0ms (0.5%)

Memory
-35.7MiB live, 8.8MiB allocated; 6ms collecting garbage
Counts
7 → 42
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Calls

3 calls:

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

simplify177.0ms (6.7%)

Memory
32.8MiB live, 215.9MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197873
1526847
22048830
08808771
Stop Event
iter limit
node limit
Counts
42 → 42
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 3/40 binary32) (/.f32 #s(literal 1/6 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) x #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx x #s(hole binary32 x))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/16 binary32) (*.f32 x (/.f32 x (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 #s(literal 1/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) x) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (* x x) 1) (fma.f32 x x #s(literal -1 binary32)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32))) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x) x) x x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))
#s(approx (- (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (- (* x x) 1) (*.f32 x x))
#s(approx (- (* x x) 1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (* x x) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #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 (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal -1/2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) x) x) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -5/128 binary32) (*.f32 x x)) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32))) (neg.f32 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 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)) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) x) x (neg.f32 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) x))

rewrite72.0ms (2.7%)

Memory
-14.7MiB live, 87.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01220
15320
040019
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
7 → 88
Calls
Call 1
Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
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
(acosh.f32 x)
(log.f32 (+.f32 (sinh.f32 (acosh.f32 x)) x))
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (log.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (-.f32 (sinh.f32 (acosh.f32 x)) x))
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)))) (neg.f32 (-.f32 x (sinh.f32 (acosh.f32 x)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x (sinh.f32 (acosh.f32 x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.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 (sinh.f32 (acosh.f32 x)) x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sinh.f32 (acosh.f32 x)))) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x (sinh.f32 (acosh.f32 x)))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) x)
(fma.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))) x)
(fma.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)) x)
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(+.f32 (sinh.f32 (acosh.f32 x)) x)
(+.f32 x (sinh.f32 (acosh.f32 x)))
x
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (exp.f32 (acosh.f32 x)) (exp.f32 (neg.f32 (acosh.f32 x)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 (neg.f32 x) #s(literal 1 binary32)) (-.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (neg.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (fabs.f32 (sinh.f32 (acosh.f32 x))) (fabs.f32 (sinh.f32 (acosh.f32 x))))
(*.f32 (-.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal -1 binary32)))
(*.f32 (-.f32 x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32)))
(*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal -1 binary32))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x (*.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))
(neg.f32 (*.f32 x (neg.f32 x)))
#s(literal 1 binary32)

eval12.0ms (0.5%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 061 to 614 computations (70.2% saved)

prune4.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1313134
Fresh000
Picked101
Done000
Total1323135
Accuracy
100.0%
Counts
135 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.3%
(log.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
96.1%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
99.3%
(acosh.f32 x)
Compiler

Compiled 36 to 22 computations (38.9% saved)

series77.0ms (2.9%)

Memory
-17.9MiB live, 70.7MiB allocated; 15ms collecting garbage
Counts
15 → 131
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))
(sinh.f32 (acosh.f32 x))
#s(literal 3 binary32)
(pow.f32 x #s(literal 3 binary32))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 x x)
Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
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#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
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Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@0
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (sinh (acosh x)) 3) (pow x 3)) (pow (sinh (acosh x)) 3) (sinh (acosh x)) 3 (pow x 3) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (- (sinh (acosh x)) x) (* x x))
21.0ms
x
@-inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (sinh (acosh x)) 3) (pow x 3)) (pow (sinh (acosh x)) 3) (sinh (acosh x)) 3 (pow x 3) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (- (sinh (acosh x)) x) (* x x))
13.0ms
x
@inf
((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (sinh (acosh x)) 3) (pow x 3)) (pow (sinh (acosh x)) 3) (sinh (acosh x)) 3 (pow x 3) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (- (sinh (acosh x)) x) (* x x))

simplify362.0ms (13.6%)

Memory
-15.5MiB live, 383.3MiB allocated; 140ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086012586
1271510223
087209844
Stop Event
iter limit
node limit
Counts
131 → 131
Calls
Call 1
Inputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
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#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))))))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)) (* x (+ (* 1/8 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (+ (* 1/8 (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))) (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/4 (pow (+ 1 (/ 1 (pow (sqrt -1) 2))) 2)) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (* -1 (log (/ 1 x)))))
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#s(approx (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (* -1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x)) (* 1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x))) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x)) 1)))))
#s(approx (/ (+ (pow (sinh (acosh x)) 3) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (* -1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x))) (+ (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x)) 1)))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1/8 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3) (pow x 3))) 1)))))
#s(approx (+ (pow (sinh (acosh x)) 3) (pow x 3)) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (+ (* 1/8 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 1/4 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))))) (pow x 3))) 1)))))
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#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (* 1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 1/4 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2)))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (/ (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 4))) (+ (* 1/8 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (+ (* 1/4 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/4 (/ (* (pow (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (* (+ (* 1/4 (pow (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) 2)) (* 1/2 (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))))))))))
#s(approx (pow (sinh (acosh x)) 3) #s(hole binary32 (+ (* 1/8 (/ (* (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 6))) (+ (* 1/8 (/ (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 4))) (+ (* 1/8 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (+ (* 1/4 (/ (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (pow x 6))) (+ (* 1/4 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (pow x 2))) (+ (* 1/4 (/ (* (pow (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) 2) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (+ (* 1/2 (/ (* (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/4 (pow (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) 2)) (* 1/2 (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (pow x 6))) (+ (* 1/2 (/ (* (+ (* 1/4 (pow (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) 2)) (* 1/2 (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (* (+ (* 1/2 (* (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (* 1/2 (* (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx x #s(hole binary32 x))
#s(approx x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
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#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 0 binary32) x (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) (fma.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 0 binary32)) x)))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
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#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (pow x 3) (pow.f32 x #s(literal 3 binary32)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (fma.f32 (fma.f32 (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) x (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32)))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (fma.f32 (fma.f32 #s(literal 0 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))) x (*.f32 (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) x (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32)))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))
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#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) (fma.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (neg.f32 x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) (fma.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1 binary32)) x)))
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#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (* x x) (*.f32 x x))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal -1 binary32))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
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#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 (log.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
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#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.f32 (-.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal -3/32 binary32)) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 #s(literal 2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) x) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) x)
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
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#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (sinh (acosh x)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 5/64 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) x) #s(literal -1/2 binary32) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (*.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 2 binary32)) x) #s(literal -1/4 binary32) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (*.f32 (fma.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) x) #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 x))) x) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 x x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) x) #s(literal -1/2 binary32) #s(literal 1 binary32))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)))) x) #s(literal -1 binary32) #s(literal 1 binary32))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) #s(literal 1/4 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x))) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) #s(literal 1 binary32))))

rewrite81.0ms (3.1%)

Memory
4.2MiB live, 96.6MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019118
032109
1140109
01145109
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 192
Calls
Call 1
Inputs
(acosh.f32 x)
x
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))
(sinh.f32 (acosh.f32 x))
#s(literal 3 binary32)
(pow.f32 x #s(literal 3 binary32))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 x x)
Outputs
(acosh.f32 x)
(log.f32 (exp.f32 (acosh.f32 x)))
x
(log.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x))
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x)))) (log.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) 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) (-.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f32 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))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x)))) (neg.f32 (-.f32 x #s(approx (sqrt (- (* x x) 1)) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (- (* x x) 1)) x) (-.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f32 x x))))
(/.f32 (*.f32 (+.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) x))) (-.f32 x #s(approx (sqrt (- (* x x) 1)) 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 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (- (* x x) 1)) x) (-.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f32 x x)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (- (* x x) 1)) 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 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (- (* x x) 1)) x) (-.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (- (* x x) 1)) x) (-.f32 #s(approx (sqrt (- (* x x) 1)) x) x) (*.f32 x x))))
(+.f32 #s(approx (sqrt (- (* x x) 1)) x) x)
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x)))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))))
(*.f32 (fma.f32 x (-.f32 x (sinh.f32 (acosh.f32 x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (exp.f32 (acosh.f32 x)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
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(-.f32 (/.f32 (exp.f32 (acosh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (acosh.f32 x))) #s(literal 2 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
#s(literal 3 binary32)
(*.f32 (*.f32 x (fabs.f32 x)) (fabs.f32 x))
(*.f32 (neg.f32 (pow.f32 x #s(literal 3/2 binary32))) (neg.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (*.f32 (neg.f32 x) x) (neg.f32 x))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) x))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) x))
(*.f32 (*.f32 x x) x)
(*.f32 x (*.f32 x x))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 x #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 x) x) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x))))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 x) x))
(-.f32 (*.f32 x x) (*.f32 (neg.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x)) (sinh.f32 (acosh.f32 x))))
(-.f32 (*.f32 x x) (*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (-.f32 (sinh.f32 (acosh.f32 x)) x)))
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (*.f32 x x) #s(literal 1 binary32) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 (neg.f32 x)) x))
(fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 (neg.f32 (neg.f32 x)) x))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(fma.f32 #s(literal 1 binary32) (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 x (*.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 x x (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))))
(+.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (neg.f32 x)) x))
(+.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x))
(+.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (exp.f32 (acosh.f32 x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (exp.f32 (acosh.f32 x)))
(/.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (exp.f32 (acosh.f32 x))) (/.f32 (*.f32 x x) (exp.f32 (acosh.f32 x))))
(-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x x))
(*.f32 x (*.f32 x #s(literal 1 binary32)))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))

eval50.0ms (1.9%)

Memory
15.7MiB live, 103.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 21 456 to 2 072 computations (90.3% saved)

prune32.0ms (1.2%)

Memory
-14.1MiB live, 30.4MiB allocated; 5ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4341435
Fresh000
Picked123
Done000
Total4353438
Accuracy
100.0%
Counts
438 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
96.1%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
99.3%
(acosh.f32 x)
Compiler

Compiled 37 to 25 computations (32.4% saved)

series61.0ms (2.3%)

Memory
8.0MiB live, 56.3MiB allocated; 20ms collecting garbage
Counts
15 → 101
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(literal 3/2 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(sinh.f32 (acosh.f32 x))
(acosh.f32 x)
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 x x)
Outputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (* -4 (/ (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (* x (+ (* -4 (/ (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 1/2 (* x (+ (* -16 (/ (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))) (* 1/2 (/ (* (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2) (- (* 6 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (+ (* -64 (/ (* (sqrt -1) (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (* 16 (/ (* (sqrt -1) (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))) (sqrt -1)))))))))))
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#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* -16 (/ (* x (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))) (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (- (* x (- (* 6 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (+ (* -64 (/ (* (sqrt -1) (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (* 16 (/ (* (sqrt -1) (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))) (* 16 (/ (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))))))))
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#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (sqrt -1)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))))) (* -1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 1/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))))) (* -1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (/ (exp (+ (log 2) (* -1 (log (/ 1 x))))) x)) (/ 1 (* x (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (pow x 2)))) (* -1 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ (* -1 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 1/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))) (pow x 3)))) (+ (* -1 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/2 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/2 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (/ 3/2 (pow x 2)))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (pow x 3)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#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 (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (pow x 2)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (+ (* -1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/4 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (+ (* -1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/4 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) 1))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3)))) 1))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5))))) 1))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (log (/ -1 x)))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* -1/2 (/ (+ (* -4/3 (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (+ (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 4 (+ (* -3/4 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (+ (* 3/16 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 1/2 (* (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))))) x)) (* 1/2 (+ (* -4/3 (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (/ 3/2 x)))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (/ (- (* -3/4 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 3/2) x))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* -3/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x)) 3/2) x))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 3/8 (+ (* -3/4 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (+ (* 3/16 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3) x)) (* 1/2 (/ (* (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x))))) (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* -3/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x)) 3/2) x))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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 (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
Calls

3 calls:

TimeVariablePointExpression
44.0ms
x
@-inf
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (sinh (acosh x)) (acosh x) (- (sinh (acosh x)) x) (* x x))
7.0ms
x
@0
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (sinh (acosh x)) (acosh x) (- (sinh (acosh x)) x) (* x x))
5.0ms
x
@inf
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) (sinh (acosh x)) (acosh x) (- (sinh (acosh x)) x) (* x x))

simplify221.0ms (8.3%)

Memory
35.9MiB live, 261.9MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06926918
121195025
087744797
Stop Event
iter limit
node limit
Counts
101 → 101
Calls
Call 1
Inputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (* -4 (/ (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
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#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* -16 (/ (* x (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))) (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (- (* x (- (* 6 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (+ (* -64 (/ (* (sqrt -1) (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (* 16 (/ (* (sqrt -1) (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))) (* 16 (/ (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* x (- (* x (- (+ (* 6 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (* x (- (* 4 (/ 1 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (+ (* -64 (/ (* (sqrt -1) (* (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (+ (* 4 (/ (* (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) (- (* 6 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))) (+ (* -64 (/ (* (sqrt -1) (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (* 16 (/ (* (sqrt -1) (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 16 (/ (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))))) (+ (* -64 (/ (* (sqrt -1) (pow (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))) 2)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 6))) (* 16 (/ (* (sqrt -1) (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4)))))) (* 16 (/ (* (sqrt -1) (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 4))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (sqrt -1)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/4 (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (sqrt -1) (/ 1 (sqrt -1))))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (* x (+ 1 (+ (* 1/2 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))) (+ (* 1/2 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* x (+ (* 1/4 (* (+ 1 (/ 1 (pow (sqrt -1) 2))) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -1 (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))))) (* -1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 1/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 3/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -1 (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))))) (* -1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))) (pow x 2))) (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (/ (exp (+ (log 2) (* -1 (log (/ 1 x))))) x)) (/ 1 (* x (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (pow x 2)))) (* -1 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ (* -1 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (+ (* 1/4 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3)) (* 1/2 (* (+ 3/2 (+ (* -1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)) (* 1/2 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2)))) (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))) (pow x 3)))) (+ (* -1 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/2 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (+ (* 1/2 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))) (/ 3/2 (pow x 2)))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* 2 (pow x 3))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- 2 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (pow x 3)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2)))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2)))))))
#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 (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (pow x 2)))
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#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (+ (* -1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/4 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (+ (* -1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* -1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/4 (/ (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2) (pow x 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 2))) (+ (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* -1/32 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 5/64 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 6))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) 1))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3)))) 1))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* x (- (+ (* 1/2 (/ (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 3))) (* 1/2 (/ (- (* -1/16 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/8 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (pow x 5))))) 1))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (log (/ -1 x)))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* 1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* -1/2 (/ (+ (* -4/3 (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x))) x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log -3/2) (+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (+ (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 4 (+ (* -3/4 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) (+ (* 3/16 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 3)) (* 1/2 (* (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))))))) x)) (* 1/2 (+ (* -4/3 (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) (* -1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))))) x)) (* -1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (/ 3/2 x)))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (/ (- (* -3/4 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)) 3/2) x))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 3/8 (+ (* -3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)) (* 3/8 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2)))) x)) (* -3/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x)) 3/2) x))))
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#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* 3/2 x)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (* 3/8 (/ 1 (pow x 2))) 3/2)))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (* 3/8 (/ 1 (pow x 2)))) 3/2)))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* -1 (* x (- (+ (/ 1/16 (pow x 4)) (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) 3/2)))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (pow x 3))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- 1 (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (/ 3/8 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (* -1 (* (pow x 3) (- (+ 1 (+ (/ 3/8 (pow x 4)) (* 1/16 (/ 1 (pow x 6))))) (* 3/2 (/ 1 (pow x 2))))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) x)) (* 1/4 (pow (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) 2))) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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 (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
Outputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (* 4 (/ (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (log.f32 (/.f32 (*.f32 #s(literal 4 binary32) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32)))))
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#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (sqrt.f32 #s(literal -1 binary32)))
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#s(approx x #s(hole binary32 x))
#s(approx x x)
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#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
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#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x)))) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
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#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sinh (acosh x)) (- (sinh (acosh x)) x)) (* x x))) (*.f32 #s(literal 2 binary32) x))
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#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (* 2 (pow x 3))))
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#s(approx (- (sinh (acosh x)) x) (neg.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)))) x) x x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (*.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1 binary32) x))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x))) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))))) x))))

rewrite62.0ms (2.3%)

Memory
-13.5MiB live, 76.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01599
02799
112195
0100995
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
15 → 188
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(literal 3/2 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(sinh.f32 (acosh.f32 x))
(acosh.f32 x)
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 x x)
Outputs
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (fma.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)) (*.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)) (pow.f32 x #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))) (*.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32))) (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))
(fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x)) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(+.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(neg.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32)))) (neg.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))
(/.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 9 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 9/2 binary32))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32))))
(-.f32 (/.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3 binary32)) (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))
(-.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 (neg.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32))) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/4 binary32))))
(-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (*.f32 (neg.f32 (pow.f32 x #s(literal 3/2 binary32))) (pow.f32 x #s(literal 3/2 binary32))))
(-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (*.f32 (*.f32 (neg.f32 x) x) x))
(-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (*.f32 (neg.f32 x) (*.f32 x x)))
(fma.f32 (*.f32 x (fabs.f32 x)) (fabs.f32 x) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))
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(-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))

eval48.0ms (1.8%)

Memory
-10.6MiB live, 91.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 14 302 to 1 761 computations (87.7% saved)

prune5.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3361337
Fresh000
Picked101
Done022
Total3373340
Accuracy
100.0%
Counts
340 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
96.1%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
99.3%
(acosh.f32 x)
Compiler

Compiled 39 to 26 computations (33.3% saved)

series52.0ms (1.9%)

Memory
6.1MiB live, 52.1MiB allocated; 7ms collecting garbage
Counts
16 → 114
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(literal 3/2 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(sinh.f32 (acosh.f32 x))
(acosh.f32 x)
(*.f32 x x)
Outputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* -2 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* -2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* x (+ (* -4 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* -2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -16 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (+ (* 3 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 2 (/ 1 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (* (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))) (+ (* 2 (/ (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (* (pow (sqrt -1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) (* 6 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))))))) (* 1/2 (+ (* -4 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* -4 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* x (- (* x (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (* 4 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* x (- (* x (- (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (- (* 2 (/ 1 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (* (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))) (+ (* 2 (/ (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (* (pow (sqrt -1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (* 4 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (sqrt -1)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* x (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* x (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (+ (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (sqrt -1))))))) (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 4 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -2 (log (/ 1 x))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (- (+ (log (/ 4 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* -2 (log (/ 1 x)))) (/ 1 (* x (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (- (+ (log (/ 4 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (+ (* -2 (log (/ 1 x))) (* 1/2 (/ (- (* 1/2 (* (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) (- (* 4 (/ 1 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 3))) (+ (* 3 (/ 1 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))) (* 8 (/ (+ (* -1/4 (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))) (* 1/2 (- (* -1/4 (exp (+ (log 2) (* -1 (log (/ 1 x)))))) (* 1/4 (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x)))))))))) (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))))))) (/ 1 (pow (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))) 2))) (pow x 2))))) (/ 1 (* x (- (exp (+ (log 2) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log 2) (* -1 (log (/ 1 x))))))))))))
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#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x)) 1/2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@0
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x) (sinh (acosh x)) (acosh x) (* x x))
7.0ms
x
@inf
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x) (sinh (acosh x)) (acosh x) (* x x))
5.0ms
x
@-inf
((log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (pow (+ (* x x) -1) 3/2) (+ (* x x) -1) x -1 3/2 (pow x 3) 3 (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x) (sinh (acosh x)) (acosh x) (* x x))

simplify241.0ms (9%)

Memory
-11.8MiB live, 411.7MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07587004
122905683
088995410
Stop Event
iter limit
node limit
Counts
114 → 114
Calls
Call 1
Inputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* -2 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* -2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* x (+ (* -4 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* -2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* 1/6 (* x (+ (* -16 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 3) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (+ (* 3 (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 2 (/ 1 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (* (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))) (+ (* 2 (/ (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (* (pow (sqrt -1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) (* 6 (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))))))) (* 1/2 (+ (* -4 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* -4 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* x (- (* x (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (* 4 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* x (- (* x (- (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (* x (- (* 2 (/ 1 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (* (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3)))) (+ (* 2 (/ (* (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (* (pow (sqrt -1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))))) (* 4 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (sqrt -1)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 1/2 (/ (* (pow x 2) (- 1 (* -3/2 (/ (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx x #s(hole binary32 x))
#s(approx (pow x 3) #s(hole binary32 (pow x 3)))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* x (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))) (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* x (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (+ (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (sqrt -1))))))) (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (- (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) 1)))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) (* x (+ (* 1/2 (* (pow x 2) (- (* 1/8 (/ 1 (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3))))))))))))
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
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#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ 1 x))) x))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x)) 1/2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 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 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh 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)))))))))
Outputs
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
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#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* -2 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) (fma.f32 x (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (log.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))))
#s(approx (log (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)))) #s(hole binary32 (+ (log (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (+ (* -2 (/ (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* 1/2 (* x (+ (* -4 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* (- (sqrt -1) (/ 1 (sqrt -1))) (- (* 3 (/ 1 (* (pow (sqrt -1) 2) (- (sqrt -1) (/ 1 (sqrt -1)))))) (+ (* -8 (/ (pow (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1) 2) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 3))) (* 4 (/ (+ 1 (+ (* 1/4 (/ (- (sqrt -1) (/ 1 (sqrt -1))) (sqrt -1))) (* 1/2 (* (sqrt -1) (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))))) (* (sqrt -1) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2)))))))))))))))
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#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (/ 2 (- (sqrt -1) (/ 1 (sqrt -1))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) #s(hole binary32 (+ (* -4 (/ (* x (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1)) (pow (- (sqrt -1) (/ 1 (sqrt -1))) 2))) (* 2 (/ 1 (- (sqrt -1) (/ 1 (sqrt -1))))))))
#s(approx (/ (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x))) (fma.f32 (/.f32 (neg.f32 x) (pow.f32 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 2 binary32))) #s(literal -4 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))))))
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#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (sqrt -1)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ x (* 3/2 (/ 1 (sqrt -1))))))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 3/2 binary32) (sqrt.f32 #s(literal -1 binary32))) x) x) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ (pow (+ (* x x) -1) 3/2) (pow x 3)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* x (+ 1 (* -1/2 (/ (* x (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) (* 3/2 (/ 1 (sqrt -1))))))))
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#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (sqrt -1)))
#s(approx (pow (+ (* x x) -1) 3/2) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* 3/2 (/ (pow x 2) (sqrt -1))))))
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#s(approx (pow (+ (* x x) -1) 3/2) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 3 (* 9/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 3/2 (/ 1 (sqrt -1))))))))
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#s(approx (+ (* x x) -1) #s(hole binary32 -1))
#s(approx (+ (* x x) -1) #s(literal -1 binary32))
#s(approx (+ (* x x) -1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (+ (* x x) -1) (fma.f32 x x #s(literal -1 binary32)))
#s(approx x #s(hole binary32 x))
#s(approx x x)
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#s(approx (pow x 3) (pow.f32 x #s(literal 3 binary32)))
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#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (+ (* 1/2 (* (sqrt -1) (- (sqrt -1) (/ 1 (sqrt -1))))) (* x (* (sqrt -1) (- (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))) 1))))))
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#s(approx (sqrt (+ (* x x) -1)) (sqrt.f32 #s(literal -1 binary32)))
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#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1))))))
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#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (* x (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))))))
#s(approx (sinh (acosh x)) (fma.f32 #s(literal 1/2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 #s(literal 0 binary32) x)))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (sqrt -1) (/ 1 (sqrt -1)))) (* x (+ (* 1/2 (* x (- (* 1/2 (/ 1 (sqrt -1))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (+ 1 (/ 1 (pow (sqrt -1) 2)))))))))
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#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ 1 x))) x))))))
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#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 2 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (* -1/4 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))))) x)) 1/2) x)) (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))) x))))))
#s(approx (+ (* (sqrt (+ (* x x) -1)) (- (sinh (acosh x)) x)) (* x x)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))) (*.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1 binary32) x)))) (neg.f32 x)) #s(literal 1/2 binary32)) (neg.f32 x))) x)) (*.f32 x x)))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (+ (* x x) -1)) (neg.f32 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)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)))))
#s(approx (sqrt (+ (* x x) -1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) -1)) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal -1/8 binary32)) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1/2 (/ (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) x) #s(literal -1/2 binary32) #s(literal 1 binary32))))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))) x)))))))
#s(approx (- (sinh (acosh x)) x) (neg.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)))) x) x x)))
#s(approx (- (sinh (acosh x)) x) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))) x)))))))
#s(approx (- (sinh (acosh x)) x) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x))) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))))) x))))
#s(approx (sinh (acosh x)) #s(hole binary32 (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x)))))))))
#s(approx (sinh (acosh x)) (*.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32)))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))
#s(approx (sinh (acosh x)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2)))))))
#s(approx (sinh (acosh x)) (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x))) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))))))
#s(approx (sinh (acosh x)) #s(hole binary32 (+ (* 1/2 (- (exp (+ (log -1/2) (log (/ -1 x)))) (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (+ (* 1/2 (/ (+ (* 5/64 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/32 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* 1/8 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/16 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 4))) (* 1/2 (/ (+ (* 1/4 (exp (+ (log -1/2) (log (/ -1 x))))) (* 1/4 (/ 1 (exp (+ (log -1/2) (log (/ -1 x))))))) (pow x 2))))))))
#s(approx (sinh (acosh x)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -5/128 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/16 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (pow.f32 x #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) (*.f32 x x)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))
#s(approx (acosh 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 (acosh x) (+.f32 (+.f32 (+.f32 (+.f32 (/.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)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1/2 binary32))))

rewrite115.0ms (4.3%)

Memory
-13.3MiB live, 96.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016110
029112
112598
0103098
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 208
Calls
Call 1
Inputs
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x)))
(+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32))
(fma.f32 x x #s(literal -1 binary32))
x
#s(literal -1 binary32)
#s(literal 3/2 binary32)
(pow.f32 x #s(literal 3 binary32))
#s(literal 3 binary32)
(fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(sinh.f32 (acosh.f32 x))
(acosh.f32 x)
(*.f32 x x)
Outputs
(log.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(/.f32 (-.f32 (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (*.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (+.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (fma.f32 (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (*.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x)))
(*.f32 (/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))))) (-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))) (*.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x)))))))
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(fma.f32 x x #s(literal -1 binary32))
(pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))))
(+.f32 (*.f32 x x) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 x x))
x
#s(literal -1 binary32)
#s(literal 3/2 binary32)
(*.f32 (*.f32 x (fabs.f32 x)) (fabs.f32 x))
(*.f32 (neg.f32 (pow.f32 x #s(literal 3/2 binary32))) (neg.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))))
(*.f32 (*.f32 (neg.f32 x) x) (neg.f32 x))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) x))
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) x))
(*.f32 (*.f32 x x) x)
(*.f32 x (*.f32 x x))
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32))
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32))
(pow.f32 x #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
#s(literal 3 binary32)
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 x) x) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 x) x)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x))))
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (pow.f32 x #s(literal 4 binary32))) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x)))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32))) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 (sinh.f32 (acosh.f32 x)) (*.f32 x x))))))
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32))) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 x) x))))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x)))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x)))
(-.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 x) x))
(-.f32 (*.f32 x x) (*.f32 (neg.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x)) (sinh.f32 (acosh.f32 x))))
(-.f32 (*.f32 x x) (*.f32 (neg.f32 (sinh.f32 (acosh.f32 x))) (-.f32 (sinh.f32 (acosh.f32 x)) x)))
(fma.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (neg.f32 x) (neg.f32 x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (fabs.f32 x) (fabs.f32 x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 (neg.f32 (neg.f32 x)) x))
(fma.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)) (*.f32 x x))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 (neg.f32 (neg.f32 x)) x))
(fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))
(fma.f32 x x (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 3 binary32)) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 (*.f32 x x) (-.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x)))) (pow.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32)))))
(+.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 (neg.f32 (neg.f32 x)) x))
(+.f32 (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))) (*.f32 x x))
(+.f32 (*.f32 x x) (*.f32 (-.f32 (sinh.f32 (acosh.f32 x)) x) (sinh.f32 (acosh.f32 x))))
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal -2 binary32))
(/.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 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (acosh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (acosh.f32 x))) #s(literal 2 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(/.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (exp.f32 (acosh.f32 x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))))
(/.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)) (exp.f32 (acosh.f32 x)))
(/.f32 (-.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32))))
(-.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (exp.f32 (acosh.f32 x))) (/.f32 (*.f32 x x) (exp.f32 (acosh.f32 x))))
(-.f32 (/.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (exp.f32 (acosh.f32 x)) (fma.f32 x x #s(literal -1 binary32)))))
(-.f32 (sinh.f32 (acosh.f32 x)) x)
(*.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (-.f32 x #s(literal -1 binary32))) (sqrt.f32 (-.f32 x #s(literal 1 binary32))))
(*.f32 (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 1/2 binary32)) (pow.f32 (-.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32)))
(sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x)))) #s(literal -2 binary32))
(/.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 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 x x)) (pow.f32 x #s(literal 4 binary32)))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (acosh.f32 x))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (acosh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (neg.f32 (acosh.f32 x))) #s(literal 2 binary32)))
(pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(sinh.f32 (acosh.f32 (neg.f32 x)))
(sinh.f32 (acosh.f32 (fabs.f32 x)))
(sinh.f32 (acosh.f32 x))
(acosh.f32 x)
(log.f32 (exp.f32 (acosh.f32 x)))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)))
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)))
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 x x)
(pow.f32 (neg.f32 x) #s(literal 2 binary32))
(pow.f32 (fabs.f32 x) #s(literal 2 binary32))
(pow.f32 x #s(literal 2 binary32))
(fabs.f32 (*.f32 x x))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 x) x))

eval55.0ms (2.1%)

Memory
24.1MiB live, 114.6MiB allocated; 8ms collecting garbage
Compiler

Compiled 15 791 to 1 975 computations (87.5% saved)

prune13.0ms (0.5%)

Memory
-24.6MiB live, 26.3MiB allocated; 7ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3661367
Fresh000
Picked101
Done022
Total3673370
Accuracy
100.0%
Counts
370 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.9%
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (*.f32 (*.f32 x x) x)) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
96.1%
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
99.3%
(acosh.f32 x)
Compiler

Compiled 164 to 64 computations (61% saved)

regimes7.0ms (0.3%)

Memory
18.1MiB live, 18.1MiB allocated; 0ms collecting garbage
Accuracy

Total -21.7b remaining (-9568.4%)

Threshold costs -21.7b (-9568.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (*.f32 (*.f32 x x) x)) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(log.f32 (/.f32 (+.f32 (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
(log.f32 (/.f32 (+.f32 (pow.f32 (sinh.f32 (acosh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (sinh.f32 (acosh.f32 x)) (-.f32 (sinh.f32 (acosh.f32 x)) x) (*.f32 x x))))
Outputs
(acosh.f32 x)
Calls

3 calls:

2.0ms
x
2.0ms
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
Results
AccuracySegmentsBranch
99.3%1(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
99.3%1(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
99.3%1x
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify29.0ms (1.1%)

Memory
-32.1MiB live, 14.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
Stop Event
saturated
Calls
Call 1
Inputs
(acosh.f32 x)
Outputs
(acosh.f32 x)

derivations2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 2 to 2 computations (0% saved)

preprocess12.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

Profiling

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