math.log/2 on complex, imaginary part

Time bar (total: 5.3s)

start0.0ms (0%)

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

analyze155.0ms (2.9%)

Memory
-2.5MiB live, 290.7MiB allocated; 20ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample2.5s (45.9%)

Memory
-57.6MiB live, 1 863.6MiB allocated; 2.0s collecting garbage
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-log: 1.2s (65.5% of total)
ival-mult!: 195.0ms (11% of total)
ival-hypot: 153.0ms (8.6% of total)
ival-atan2: 151.0ms (8.5% of total)
ival-div!: 71.0ms (4% of total)
ival-add!: 23.0ms (1.3% of total)
ival-sub!: 19.0ms (1.1% of total)
adjust: 2.0ms (0.1% of total)
Bogosity

explain241.0ms (4.5%)

Memory
-11.5MiB live, 471.6MiB allocated; 53ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1360-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
20-2(1.9047301646543153e+140 1.5849681214179007e-175 8.363440554775029e-159)(*.f64 (atan2.f64 im re) (log.f64 base))
00-0-(log.f64 base)
00-0-(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
00-0-(*.f64 re re)
00-0-(atan2.f64 im re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
00-0-(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
00-0-#s(literal 0 binary64)
00-0-(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
00-0-(*.f64 (log.f64 base) (log.f64 base))
00-0-(*.f64 im im)
00-0-base
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1170
(+.f64 (*.f64 re re) (*.f64 im im))overflow117
(*.f64 re re)overflow66
(*.f64 im im)overflow67
Confusion
Predicted +Predicted -
+11719
-0120
Precision
1.0
Recall
0.8602941176470589
Confusion?
Predicted +Predicted MaybePredicted -
+117019
-00120
Precision?
1.0
Recall?
0.8602941176470589
Freqs
test
numberfreq
0139
1117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
70.0ms512×0valid
Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-log: 15.0ms (33.7% of total)
ival-mult!: 11.0ms (24.7% of total)
ival-hypot: 9.0ms (20.2% of total)
ival-atan2: 4.0ms (9% of total)
ival-add!: 2.0ms (4.5% of total)
ival-div!: 2.0ms (4.5% of total)
ival-sub!: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)

preprocess59.0ms (1.1%)

Memory
-11.6MiB live, 41.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079153
1229133
296486
3609186
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 56 to 36 computations (35.7% saved)

series148.0ms (2.8%)

Memory
17.3MiB live, 254.2MiB allocated; 18ms collecting garbage
Counts
18 → 76
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Calls

9 calls:

TimeVariablePointExpression
43.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
28.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
24.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
11.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
10.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite182.0ms (3.4%)

Memory
27.5MiB live, 253.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111967
03341741
115831725
082361420
Stop Event
iter-limit
node-limit
iter-limit
Counts
94 → 331
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (hypot.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (fabs.f64 (fabs.f64 re)) im)
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (fabs.f64 (fabs.f64 im)))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) re)
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) #s(literal 1 binary64)) re))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 re #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im im) re) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im im)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 im im) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal -4 binary64)))) (*.f64 im im) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 im im) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (pow.f64 re #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (pow.f64 re #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* im im) (*.f64 im im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (log base) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval46.0ms (0.9%)

Memory
-28.2MiB live, 79.9MiB allocated; 27ms collecting garbage
Compiler

Compiled 9 899 to 1 567 computations (84.2% saved)

prune16.0ms (0.3%)

Memory
-12.0MiB live, 33.7MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New29413307
Fresh000
Picked101
Done000
Total29513308
Accuracy
99.8%
Counts
308 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
86.7%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
82.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
46.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
46.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
46.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
25.9%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
19.8%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
19.9%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
50.0%
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 874 to 516 computations (41% saved)

series287.0ms (5.4%)

Memory
63.0MiB live, 478.5MiB allocated; 56ms collecting garbage
Counts
46 → 138
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (log base)))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (- 0 (* (pow (log base) 2) 0)) #s(hole binary64 0))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (+ (log -1) (* -1 (log (/ -1 base)))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Calls

9 calls:

TimeVariablePointExpression
92.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (log base) 2))
86.0ms
base
@0
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54.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (log base) 2))
10.0ms
re
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (log base) 2))
10.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (+ (pow (log base) 6) 0) (pow (log base) 6) 6 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0) (pow (log base) 2))

rewrite210.0ms (3.9%)

Memory
-5.3MiB live, 223.6MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04313502
05102726
119422709
092752404
Stop Event
iter-limit
node-limit
iter-limit
Counts
184 → 856
Calls
Call 1
Inputs
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im
re
(log.f64 base)
base
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#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (log base)))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (- 0 (* (pow (log base) 2) 0)) #s(hole binary64 0))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (+ (log -1) (* -1 (log (/ -1 base)))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (+ (pow (log base) 6) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
base
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (neg.f64 (log.f64 base))))
(log.f64 (*.f64 (pow.f64 base (log.f64 base)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (log.f64 base))))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
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#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (exp (* (log (log base)) 1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (neg (log base))) 2) (log.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log base)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (exp (* (log (log base)) 1)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (log (log base)) 1) (log.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (log (log base)) 1) (log.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 6) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 6 binary64)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (/ (+ (pow (log base) 6) 0) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval188.0ms (3.5%)

Memory
-28.3MiB live, 165.5MiB allocated; 70ms collecting garbage
Compiler

Compiled 42 080 to 3 296 computations (92.2% saved)

prune127.0ms (2.4%)

Memory
-0.2MiB live, 55.8MiB allocated; 9ms collecting garbage
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 079181 097
Fresh538
Picked415
Done000
Total1 088221 110
Accuracy
99.9%
Counts
1 110 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.3%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
82.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
46.3%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
46.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
51.8%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
50.0%
(/.f64 (*.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
50.0%
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
46.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
46.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
97.5%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
46.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (exp.f64 (log.f64 (log.f64 base))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
Compiler

Compiled 1 665 to 1 026 computations (38.4% saved)

series196.0ms (3.7%)

Memory
14.3MiB live, 197.9MiB allocated; 37ms collecting garbage
Counts
46 → 129
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
(/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (/ 1 (pow (log base) -1)) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base)))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (exp (log (log base))) #s(hole binary64 (log base)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (+ (* (log base) (exp (log (log base)))) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log base) (exp (log (log base)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (pow (log base) 2) 3) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (- 0 (* (pow (log base) 2) 0)) #s(hole binary64 0))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (exp (log (log base))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (/ 1 (pow (log base) -1)) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (log base) (exp (log (log base)))) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (exp (log (log base)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (pow (log base) 2) 3) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (log (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ 1 (pow (log base) -1)) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (exp (log (log base)))) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (exp (log (log base)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (pow (log base) 2) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Calls

9 calls:

TimeVariablePointExpression
64.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (/ 1 (pow (log base) -1)) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (exp (log (log base)))) (* 0 0)) (* (log base) (exp (log (log base)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow (pow (log base) 2) 3) (pow (log base) 2) 2 3 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))
43.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (/ 1 (pow (log base) -1)) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (exp (log (log base)))) (* 0 0)) (* (log base) (exp (log (log base)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow (pow (log base) 2) 3) (pow (log base) 2) 2 3 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))
25.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (/ 1 (pow (log base) -1)) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (exp (log (log base)))) (* 0 0)) (* (log base) (exp (log (log base)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow (pow (log base) 2) 3) (pow (log base) 2) 2 3 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))
21.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (/ 1 (pow (log base) -1)) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (exp (log (log base)))) (* 0 0)) (* (log base) (exp (log (log base)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow (pow (log base) 2) 3) (pow (log base) 2) 2 3 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))
8.0ms
im
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (/ 1 (pow (log base) -1)) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (+ (* (log base) (exp (log (log base)))) (* 0 0)) (* (log base) (exp (log (log base)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow (pow (log base) 2) 3) (pow (log base) 2) 2 3 (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow (log base) 4) 4 (- 0 (* (pow (log base) 2) 0)) (* (pow (log base) 2) 0))

rewrite186.0ms (3.5%)

Memory
21.5MiB live, 339.8MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04143319
04812730
118802638
089662333
Stop Event
iter-limit
node-limit
iter-limit
Counts
175 → 699
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
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(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
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#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))
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(pow.f64 (log.f64 base) #s(literal 4 binary64))
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#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
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#s(approx (* im im) #s(hole binary64 (pow im 2)))
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#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (log (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ 1 (pow (log base) -1)) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (exp (log (log base)))) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (exp (log (log base)))) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (exp (log (log base)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (pow (log base) 2) 3) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 base))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
(log.f64 (log.f64 base))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (neg.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (/ 1 (pow (log base) -1)) (atan2 im re)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (/ (pow (pow (log base) 2) 3) (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (pow (log base) 2) 3) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 6 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))

eval87.0ms (1.6%)

Memory
-22.0MiB live, 164.4MiB allocated; 80ms collecting garbage
Compiler

Compiled 22 006 to 2 247 computations (89.8% saved)

prune29.0ms (0.5%)

Memory
-20.6MiB live, 80.1MiB allocated; 7ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New50113514
Fresh61016
Picked415
Done011
Total51125536
Accuracy
100.0%
Counts
536 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
46.3%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
46.3%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
98.7%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
51.8%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.1%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
50.0%
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
46.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) #s(literal 0 binary64)))
97.5%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
46.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
46.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
Compiler

Compiled 1 826 to 1 156 computations (36.7% saved)

series509.0ms (9.5%)

Memory
22.7MiB live, 818.1MiB allocated; 114ms collecting garbage
Counts
35 → 74
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
im
re
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 base (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 0 binary64)
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) 1) #s(hole binary64 (atan2 im re)))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx im #s(hole binary64 im))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (log base)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Calls

9 calls:

TimeVariablePointExpression
133.0ms
im
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (atan2 im re) im re 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/ 1 (/ 1 (log base))) (/ 1 (log base)) (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) (log (/ (pow base (atan2 im re)) 1)) (/ (pow base (atan2 im re)) 1) (pow base (atan2 im re)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (log (neg (log base))) (neg (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 0 (- (pow (log base) 2) 0))
55.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (atan2 im re) im re 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/ 1 (/ 1 (log base))) (/ 1 (log base)) (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) (log (/ (pow base (atan2 im re)) 1)) (/ (pow base (atan2 im re)) 1) (pow base (atan2 im re)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (log (neg (log base))) (neg (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 0 (- (pow (log base) 2) 0))
52.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (atan2 im re) im re 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/ 1 (/ 1 (log base))) (/ 1 (log base)) (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) (log (/ (pow base (atan2 im re)) 1)) (/ (pow base (atan2 im re)) 1) (pow base (atan2 im re)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (log (neg (log base))) (neg (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 0 (- (pow (log base) 2) 0))
50.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (atan2 im re) im re 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/ 1 (/ 1 (log base))) (/ 1 (log base)) (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) (log (/ (pow base (atan2 im re)) 1)) (/ (pow base (atan2 im re)) 1) (pow base (atan2 im re)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (log (neg (log base))) (neg (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 0 (- (pow (log base) 2) 0))
48.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (pow (log base) -1)) (/ (atan2 im re) 1) (atan2 im re) im re 1 (pow (log base) -1) (log base) base -1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/ 1 (/ 1 (log base))) (/ 1 (log base)) (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) (log (/ (pow base (atan2 im re)) 1)) (/ (pow base (atan2 im re)) 1) (pow base (atan2 im re)) (pow (log base) 2) 2 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (log (neg (log base))) (neg (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (- (pow (log base) 4) 0) (pow (log base) 4) 4 0 (- (pow (log base) 2) 0))

rewrite54.0ms (1%)

Memory
17.0MiB live, 107.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01751646
02241181
05321181
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
109 → 261
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
im
re
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 base (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 0 binary64)
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) 1) #s(hole binary64 (atan2 im re)))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx im #s(hole binary64 im))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (log base)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (log base) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ (atan2 im re) 1) (pow (log base) -1)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log (/ (pow base (atan2 im re)) 1)) (pow (log base) 2)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (/ (pow base (atan2 im re)) 1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (exp 2) (log (neg (log base)))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (- (pow (log base) 4) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (- (pow (log base) 2) 0) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
im
re
#s(literal 1 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 base)
base
#s(literal -1 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
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#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ 1 (log base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (log base))) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ 1 (/ 1 (log base))) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ 1 (log base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (/ (pow base (atan2 im re)) 1) (exp.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) (exp.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (pow (exp 2) (log (neg (log base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log (neg (log base))) (log.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base)))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (log base)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (log base))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (/ 1 (log base))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ 1 (log base)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (/ (pow base (atan2 im re)) 1) (exp.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re))))
#s(approx (/ (pow base (atan2 im re)) 1) (exp.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (exp 2) (log (neg (log base))))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (pow (exp 2) (log (neg (log base)))) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))))
#s(approx (neg (log base)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0))) (/.f64 (atan2.f64 im re) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (- (pow (log base) 4) 0) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (/ (- (pow (log base) 4) 0) (- (pow (log base) 2) 0)) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval33.0ms (0.6%)

Memory
-22.5MiB live, 73.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 8 673 to 680 computations (92.2% saved)

prune29.0ms (0.5%)

Memory
31.3MiB live, 78.4MiB allocated; 3ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New2428250
Fresh41418
Picked415
Done022
Total25025275
Accuracy
100.0%
Counts
275 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.1%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
46.3%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
98.7%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.1%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
99.2%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
50.0%
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.2%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) #s(literal 0 binary64))))
46.1%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) #s(literal 0 binary64)))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (neg.f64 (log.f64 base))))))
97.5%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
98.8%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
46.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
46.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
46.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
46.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
46.1%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
Compiler

Compiled 2 840 to 819 computations (71.2% saved)

regimes76.0ms (1.4%)

Memory
-3.5MiB live, 183.7MiB allocated; 20ms collecting garbage
Accuracy

Total -63.7b remaining (-18518.2%)

Threshold costs -63.7b (-18518.2%)

Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (neg.f64 (log.f64 base))))))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 (*.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (exp.f64 (log.f64 (log.f64 base))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (atan2.f64 im re))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(approx (+ (pow (log base) 4) (- 0 (* (pow (log base) 2) 0))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (- 0 (* (pow (log base) 2) 0)) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
Calls

5 calls:

16.0ms
im
16.0ms
re
15.0ms
(log.f64 base)
12.0ms
base
12.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Results
AccuracySegmentsBranch
99.5%1(log.f64 base)
99.5%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%1re
99.5%1im
99.5%1base
Compiler

Compiled 33 to 31 computations (6.1% saved)

derivations25.0ms (0.5%)

Memory
-33.6MiB live, 12.4MiB allocated; 6ms collecting garbage
Stop Event
fuel
Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess12.0ms (0.2%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 126 to 80 computations (36.5% saved)

end0.0ms (0%)

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

Profiling

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