math.log/2 on complex, imaginary part

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze169.0ms (3.8%)

Memory
21.0MiB live, 205.0MiB allocated; 42ms 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)

sample1.8s (40.5%)

Memory
45.1MiB live, 1 670.5MiB allocated; 927ms collecting garbage
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 424.0ms (39.3% of total)
ival-log: 180.0ms (16.7% of total)
ival-hypot: 159.0ms (14.8% of total)
ival-sub: 108.0ms (10% of total)
ival-atan2: 84.0ms (7.8% of total)
ival-div: 61.0ms (5.7% of total)
ival-add: 50.0ms (4.6% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain322.0ms (7.3%)

Memory
8.4MiB live, 441.6MiB allocated; 72ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1390-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
20-2(6.015873824496855e+63 1.420137121168049e-246 1.0643683735095342e-223)(*.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-rescue1220
(+.f64 (*.f64 re re) (*.f64 im im))overflow122
(*.f64 re re)overflow78
(*.f64 im im)overflow60
Confusion
Predicted +Predicted -
+12217
-0117
Precision
1.0
Recall
0.8776978417266187
Confusion?
Predicted +Predicted MaybePredicted -
+122017
-00117
Precision?
1.0
Recall?
0.8776978417266187
Freqs
test
numberfreq
0134
1122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms512×0valid
Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-log: 25.0ms (36.1% of total)
ival-mult: 15.0ms (21.6% of total)
ival-div: 9.0ms (13% of total)
ival-hypot: 8.0ms (11.5% of total)
ival-add: 5.0ms (7.2% of total)
ival-atan2: 4.0ms (5.8% of total)
ival-sub: 2.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess180.0ms (4.1%)

Memory
-4.9MiB live, 100.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079153
1229133
296486
3609186
01826
03414
16312
21808
39216
424776
551416
082916
Stop Event
iter limit
node limit
iter limit
node limit
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))))
Outputs
(/.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 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
45.4%
(/.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 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 28 to 18 computations (35.7% saved)

series178.0ms (4%)

Memory
8.8MiB live, 194.9MiB allocated; 30ms 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
54.0ms
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))
37.0ms
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))
31.0ms
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))
14.0ms
im
@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))
9.0ms
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))

rewrite264.0ms (6%)

Memory
2.9MiB live, 229.4MiB allocated; 39ms 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)))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal -4 binary64)))) (*.f64 re re) (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1/2 binary64))) (*.f64 re re) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) im)
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal -3 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
#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)))

eval51.0ms (1.2%)

Memory
25.8MiB live, 68.8MiB allocated; 7ms collecting garbage
Compiler

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

prune25.0ms (0.6%)

Memory
-15.3MiB live, 29.7MiB allocated; 7ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New29710307
Fresh000
Picked101
Done000
Total29810308
Accuracy
99.8%
Counts
308 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.4%
(/.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))))
81.9%
(/.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))))
77.2%
(/.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)))))))
45.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.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))))
45.3%
(/.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 (-.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))))
45.4%
(/.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 (/.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))))
21.0%
(/.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))) (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))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
(/.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 720 to 402 computations (44.2% saved)

series168.0ms (3.8%)

Memory
-45.6MiB live, 152.7MiB allocated; 136ms collecting garbage
Counts
42 → 128
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))) (+.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 (*.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 (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (log.f64 base))
(/.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))
#s(literal -1 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 (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 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
#s(literal 2 binary64)
(fma.f64 (log.f64 base) (atan2.f64 im re) #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 (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)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(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))
#s(literal 4 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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#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 (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log base) 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 (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log 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 (* -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)) (+ (* (/ 1 (pow (log base) -1)) (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 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#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 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#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) (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)) (+ (* (/ 1 (pow (log base) -1)) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#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 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Calls

9 calls:

TimeVariablePointExpression
61.0ms
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)) (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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) 2 (+ (* (log base) (atan2 im re)) 0) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
18.0ms
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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) 2 (+ (* (log base) (atan2 im re)) 0) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
11.0ms
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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) 2 (+ (* (log base) (atan2 im re)) 0) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) 2 (+ (* (log base) (atan2 im re)) 0) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)
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)) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 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) (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) (* (/ 1 (pow (log base) -1)) (log base)) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) 2 (+ (* (log base) (atan2 im re)) 0) (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (* (* (log base) (atan2 im re)) (pow (log base) 2)) (pow (log base) 2) (* (pow (log base) 2) 0) (pow (log base) 4) 4)

rewrite317.0ms (7.2%)

Memory
21.4MiB live, 296.7MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04143378
04902769
119122742
092672437
Stop Event
iter limit
node limit
iter limit
Counts
170 → 909
Calls
Call 1
Inputs
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(/.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))))
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#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log base) 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 (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (pow (log base) 2) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log 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 (* -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)) (+ (* (/ 1 (pow (log base) -1)) (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 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#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 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#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) (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)) (+ (* (/ 1 (pow (log base) -1)) (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 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (/ 1 (pow (log base) -1)) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (/ 1 (pow (log base) -1)) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#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 (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Outputs
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (*.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)
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
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 #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)))
(log.f64 base)
base
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 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 (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 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))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 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 (log.f64 base) (atan2.f64 im re))))))
(/.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 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 (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (neg.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 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 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.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 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1 binary64) (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 (exp.f64 (log.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 4 binary64)) #s(literal 0 binary64))) (neg.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 2 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 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -1 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 (*.f64 #s(literal 1 binary64) (log.f64 base)) (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))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 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))) #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 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.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 (*.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1 binary64) (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)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.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 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 #s(literal 1 binary64) (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 (exp.f64 (log.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))
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#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
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#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#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)))
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#s(approx (sqrt (+ (* re re) (* im im))) im)
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#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
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#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
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#s(approx (sqrt (+ (* re re) (* im im))) re)
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#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)))
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#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))
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#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)))
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#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log base) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (pow (log base) 2) 0) #s(literal 0 binary64))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (atan2 im re) (log base)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (log base) (*.f64 #s(literal 1 binary64) (log.f64 base)))
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#s(approx (* (log base) (atan2 im re)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
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#s(approx (* (log base) (atan2 im re)) (*.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
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#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log base) (*.f64 #s(literal 1 binary64) (log.f64 base)))
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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 (log base) (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) -1) (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 (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.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) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 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 (* (log base) (atan2 im re)) 2) 0) (pow.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(literal 2 binary64)))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) (pow.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(literal 2 binary64)))
#s(approx (* (log base) (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 (/ (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (pow (log base) 4)) (/.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 (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.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 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 2)) (*.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 3 binary64)) (atan2.f64 im re)))
#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) (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)))

eval112.0ms (2.6%)

Memory
5.0MiB live, 237.0MiB allocated; 33ms collecting garbage
Compiler

Compiled 31 491 to 3 233 computations (89.7% saved)

prune34.0ms (0.8%)

Memory
-6.8MiB live, 84.8MiB allocated; 6ms collecting garbage
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New87822900
Fresh505
Picked415
Done000
Total88723910
Accuracy
100.0%
Counts
910 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
81.9%
(/.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))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.2%
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
(/.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.3%
(/.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))))
51.9%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (*.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)))) (atan2.f64 im re))) (+.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 (log.f64 base) (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 (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))))
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 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
14.0%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 (pow.f64 base (log.f64 base))))
51.0%
(/.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 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
50.7%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.3%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
81.1%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
81.2%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
81.9%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
91.7%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #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) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
51.8%
#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)))
51.4%
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
99.2%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
Compiler

Compiled 1 469 to 954 computations (35.1% saved)

series105.0ms (2.4%)

Memory
-14.3MiB live, 182.5MiB allocated; 36ms collecting garbage
Counts
38 → 69
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 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1 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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #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 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (*.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)))) (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 (/.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)))) (atan2.f64 im re)))
(*.f64 (*.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)))) (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(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
#s(literal -1/2 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) (/ 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 (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (pow (atan2 im re) -1)) #s(hole binary64 (atan2 im re)))
#s(approx (pow (atan2 im re) -1) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) #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 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#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 (pow (pow (log base) -1) -2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (log base)))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (sqrt (log base))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (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 (/ (- (* (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 (/ (/ 1 (pow (atan2 im re) -1)) (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)) (pow (pow (log base) -1) -2)) #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 (pow (log base) -1) -2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (* (sqrt (log (/ 1 base))) (sqrt -1))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))))
#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) (/ 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 (/ (/ 1 (pow (atan2 im re) -1)) (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)) (pow (pow (log base) -1) -2)) #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 (pow (log base) -1) -2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (+ (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
24.0ms
re
@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))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) (pow (atan2 im re) -1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (pow (log base) -1) -2) -2 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (* (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) 2 0 (pow (log base) 4) 4 (/ (- (* (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) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
12.0ms
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))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) (pow (atan2 im re) -1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (pow (log base) -1) -2) -2 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (* (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) 2 0 (pow (log base) 4) 4 (/ (- (* (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) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
12.0ms
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))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) (pow (atan2 im re) -1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (pow (log base) -1) -2) -2 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (* (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) 2 0 (pow (log base) 4) 4 (/ (- (* (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) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
11.0ms
im
@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))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) (pow (atan2 im re) -1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (pow (log base) -1) -2) -2 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (* (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) 2 0 (pow (log base) 4) 4 (/ (- (* (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) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
10.0ms
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))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) (pow (atan2 im re) -1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (log base) (atan2 im re)) (pow (pow (log base) -1) -2) -2 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (* (pow (log base) 2) (* (log base) (atan2 im re))) (pow (log base) 2) 2 0 (pow (log base) 4) 4 (/ (- (* (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) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (/ 1 (pow (log base) -1/2)) (pow (log base) -1/2) -1/2 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite57.0ms (1.3%)

Memory
-9.5MiB live, 85.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01801656
02281206
05411206
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
107 → 251
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 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1 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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #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 (log.f64 base) (atan2.f64 im re))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (*.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)))) (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 (/.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)))) (atan2.f64 im re)))
(*.f64 (*.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)))) (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(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
#s(literal -1/2 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) (/ 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 (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (pow (atan2 im re) -1)) #s(hole binary64 (atan2 im re)))
#s(approx (pow (atan2 im re) -1) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow (pow (log base) -1) -2)) #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 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#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 (pow (pow (log base) -1) -2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (log base)))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (sqrt (log base))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (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 (/ (- (* (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 (/ (/ 1 (pow (atan2 im re) -1)) (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)) (pow (pow (log base) -1) -2)) #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 (pow (log base) -1) -2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (* (sqrt (log (/ 1 base))) (sqrt -1))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))))
#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) (/ 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 (/ (/ 1 (pow (atan2 im re) -1)) (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)) (pow (pow (log base) -1) -2)) #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 (pow (log base) -1) -2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (pow (log base) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (pow (log base) -1/2)) #s(hole binary64 (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (pow (log base) -1/2) #s(hole binary64 (sqrt (/ 1 (+ (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
#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 (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 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
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#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx im im)
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #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 (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (/ 1 (pow (log base) -1/2)) (sqrt.f64 (log.f64 base)))
#s(approx (pow (log base) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.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))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (pow (log base) -1) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (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)) (+ (* (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 (* (log base) (atan2 im re)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (atan2 im re)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ 1 (pow (log base) -1/2)) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (pow (log base) -1/2) (sqrt.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64)) #s(literal -1 binary64))))
#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) (/ 1 (pow (log base) -1))) (/.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)) (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) -1) (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 (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 (pow (atan2 im re) -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 (/ (- (* (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 (* (log base) (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 (+ (* (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 (/ (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (pow (log base) 4)) (/.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) 2) (* (log base) (atan2 im re))) 0) (*.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 3 binary64)) (atan2.f64 im re)))
#s(approx (- (* (pow (log base) 2) (* (log base) (atan2 im re))) 0) (*.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 3 binary64)) (atan2.f64 im re)))
#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 (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 (* (* (/ 1 (pow (log base) -1/2)) (/ 1 (pow (log base) -1/2))) (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 (/ 1 (pow (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 (/ 1 (pow (log base) -1/2)) (sqrt.f64 (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) -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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)))

eval30.0ms (0.7%)

Memory
28.9MiB live, 72.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 10 062 to 735 computations (92.7% saved)

prune36.0ms (0.8%)

Memory
0.7MiB live, 45.0MiB allocated; 10ms collecting garbage
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New25612268
Fresh51217
Picked505
Done011
Total26625291
Accuracy
100.0%
Counts
291 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
(/.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))) (+.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 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.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))))
99.1%
(/.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 (/.f64 #s(literal 1 binary64) (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 (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 (log.f64 base) (atan2.f64 im re))) (/.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))))
50.7%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
81.1%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
81.2%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
81.9%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
91.7%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
51.9%
#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 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
52.0%
#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 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 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)))))
51.4%
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
51.8%
#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)))
51.4%
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
99.2%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
54.8%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base)))
99.1%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))))
99.3%
#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 1 655 to 1 070 computations (35.3% saved)

series242.0ms (5.5%)

Memory
-14.0MiB live, 214.0MiB allocated; 67ms collecting garbage
Counts
39 → 76
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) (/.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))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (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 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))) (+.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 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(*.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 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 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 (/ 1 (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 (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (/ 1 (atan2 im re))) #s(hole binary64 (atan2 im re)))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #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) (atan2 im re)) -1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (log base) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (log base)))
#s(approx (/ 1 (log base)) #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 (exp (* (log (log base)) -1))) #s(hole binary64 (log base)))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ 1 (log base))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (log (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 (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (neg (pow (log base) 2)) 0) #s(hole binary64 0))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (log base) 2))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log 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 (* -1 (/ (atan2 im re) (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 base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (exp (* (log (log base)) -1))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (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)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #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 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
#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 (/ 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 base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (exp (* (log (log base)) -1))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (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)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (+ (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 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Calls

9 calls:

TimeVariablePointExpression
75.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (atan2 im re)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) (/ 1 (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)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (* (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (* (neg (pow (log base) 2)) 0) (neg (pow (log base) 2)) (pow (log base) 4) 4)
50.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (atan2 im re)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) (/ 1 (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)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (* (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (* (neg (pow (log base) 2)) 0) (neg (pow (log base) 2)) (pow (log base) 4) 4)
35.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (atan2 im re)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) (/ 1 (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)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (* (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (* (neg (pow (log base) 2)) 0) (neg (pow (log base) 2)) (pow (log base) 4) 4)
32.0ms
re
@0
((/ (- (* (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)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (atan2 im re)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) (/ 1 (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)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (* (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (* (neg (pow (log base) 2)) 0) (neg (pow (log base) 2)) (pow (log base) 4) 4)
11.0ms
im
@0
((/ (- (* (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)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (atan2 im re)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) (/ 1 (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)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0) 0 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (* (atan2 im re) (pow (log base) 2)) (pow (log base) 2) 2 (* (neg (pow (log base) 2)) 0) (neg (pow (log base) 2)) (pow (log base) 4) 4)

rewrite56.0ms (1.3%)

Memory
33.0MiB live, 76.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01941697
02521273
05631273
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
115 → 249
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) (/.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))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (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 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))) (+.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 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(*.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 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 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 (/ 1 (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 (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (/ 1 (atan2 im re))) #s(hole binary64 (atan2 im re)))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #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) (atan2 im re)) -1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (log base) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (/ 1 (log base))) #s(hole binary64 (log base)))
#s(approx (/ 1 (log base)) #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 (exp (* (log (log base)) -1))) #s(hole binary64 (log base)))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ 1 (log base))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (log (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 (pow (log base) 2) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (neg (pow (log base) 2)) 0) #s(hole binary64 0))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (log base) 2))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log 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 (* -1 (/ (atan2 im re) (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 base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (exp (* (log (log base)) -1))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (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)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #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 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
#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 (/ 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 base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (exp (* (log (log base)) -1)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (exp (* (log (log base)) -1))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (exp (* (log (log base)) -1)) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (log (log base)) -1) #s(hole binary64 (* -1 (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)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (+ (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 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (pow (log base) 2)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (atan2 im re))))
#s(approx (pow (log base) 2) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (neg (pow (log base) 2)) #s(hole binary64 (* -1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))))
#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 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
im
re
(*.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)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 base)
#s(literal 1 binary64)
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal -1 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 (neg.f64 (log.f64 (log.f64 base))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (log.f64 base)))) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.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)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 base)
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) (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 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
#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 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.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)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 base)
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal -1 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 (neg.f64 (log.f64 (log.f64 base))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (log.f64 base)))) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (log.f64 base)))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (log.f64 base))
#s(literal -1 binary64)
(/.f64 (neg.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)))) (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)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.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)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 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)))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 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 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 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 base (log.f64 base)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 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)))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 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 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 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 base (log.f64 base)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base))) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (*.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3 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)))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 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 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 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 base (log.f64 base)))
#s(literal 2 binary64)
#s(literal 0 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)))
#s(literal 4 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)))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (/ 1 (atan2 im re))) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (/ 1 (atan2 im re))) (atan2.f64 im re))
#s(approx (/ 1 (atan2 im re)) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/.f64 (atan2.f64 im re) (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)))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (pow (* (log base) (atan2 im re)) -1) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx im im)
#s(approx (/ 1 (/ 1 (log base))) (log.f64 base))
#s(approx (/ 1 (log base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (log base))) (log.f64 base))
#s(approx base base)
#s(approx (/ 1 (/ 1 (log base))) (log.f64 base))
#s(approx (/ 1 (log base)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(approx (* (log (log base)) -1) (neg.f64 (log.f64 (log.f64 base))))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (* (neg (pow (log base) 2)) 0) #s(literal 0 binary64))
#s(approx (neg (pow (log base) 2)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 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 (/ (/ 1 (/ 1 (atan2 im re))) (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 (/ 1 (/ 1 (log base))) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (/ 1 (/ 1 (atan2 im re))) (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 (* (log (log base)) -1) (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
#s(approx (log (log base)) (log.f64 (neg.f64 (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 (/ 1 (pow (* (log base) (atan2 im re)) -1)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (pow (* (log base) (atan2 im re)) -1) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (atan2.f64 im re)))
#s(approx (* (log base) (atan2 im re)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (atan2 im re) (pow (log base) 2)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (pow (log base) 2) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (neg (pow (log base) 2)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 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 (/ (/ 1 (/ 1 (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 (/ 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 (/ 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 (/ 1 (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 (/ (/ 1 (/ 1 (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 (/ 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 (* (log (log base)) -1) (neg.f64 (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)) (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)) (*.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 (/ 1 (pow (* (log base) (atan2 im re)) -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) (atan2 im re)) -1) (pow.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(literal -1 binary64)))
#s(approx (* (log base) (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 (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) 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 (/ (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (pow (log base) 4)) (/.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 (+ (* (log base) (* (atan2 im re) (pow (log base) 2))) (* (neg (pow (log base) 2)) 0)) (*.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 3 binary64)) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (pow (log base) 2)) (*.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)) (atan2.f64 im re)))
#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 (neg (pow (log base) 2)) (neg.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 (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)))

eval24.0ms (0.5%)

Memory
4.2MiB live, 49.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 7 881 to 638 computations (91.9% saved)

prune27.0ms (0.6%)

Memory
1.1MiB live, 47.2MiB allocated; 2ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New2065211
Fresh21719
Picked325
Done011
Total21125236
Accuracy
100.0%
Counts
236 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
(/.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
99.3%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (/.f64 (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))))
99.3%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))))
51.8%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.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))))
99.1%
(/.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 (/.f64 #s(literal 1 binary64) (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 (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))))
50.7%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
81.1%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
81.2%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
81.9%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
91.7%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
51.9%
#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 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
52.0%
#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 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 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)))))
51.4%
#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) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))))
51.8%
#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)))
51.4%
#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) (exp.f64 (neg.f64 (neg.f64 (log.f64 (log.f64 base)))))))
99.2%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
54.8%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base)))
99.1%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 base))))
99.3%
#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 2 541 to 775 computations (69.5% saved)

regimes97.0ms (2.2%)

Memory
2.5MiB live, 101.9MiB allocated; 56ms collecting garbage
Accuracy

Total -63.7b remaining (-19404.8%)

Threshold costs -63.7b (-19404.8%)

Counts
50 → 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (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 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #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) (pow.f64 (sqrt.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 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #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) (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 (neg.f64 (neg.f64 (log.f64 (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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
(/.f64 #s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 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 (/.f64 #s(literal 1 binary64) (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) (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) (/.f64 (*.f64 (sqrt.f64 (log.f64 base)) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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))) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (pow (log base) 2)) (* (pow (log base) 2) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (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 (log.f64 base) (atan2.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)) (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 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 (log.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 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 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 (/.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 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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 #s(literal 1 binary64) (/.f64 (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 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.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)) (*.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #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)) (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 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))) (/.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(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 (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 (-.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.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 (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))) (pow.f64 (log.f64 base) #s(literal 2 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 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (*.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)))) (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)) (*.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 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 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 (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:

43.0ms
base
16.0ms
(/.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))))
12.0ms
(log.f64 base)
12.0ms
im
12.0ms
re
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)

simplify77.0ms (1.7%)

Memory
-17.1MiB live, 72.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02221
15819
222915
3179713
4632113
Stop Event
node limit
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)))
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)))

derivations33.0ms (0.7%)

Memory
-22.4MiB live, 31.0MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess14.0ms (0.3%)

Memory
43.5MiB live, 43.6MiB 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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