math.log10 on complex, real part

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze99.0ms (1.7%)

Memory
22.0MiB live, 105.7MiB allocated
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%99.9%0.1%0%0%0%4
18.8%18.7%81.2%0.1%0%0%0%5
34.4%34.3%65.6%0.1%0%0%0%6
54.7%54.6%45.3%0.1%0%0%0%7
64.8%64.8%35.1%0.1%0%0%0%8
76.2%76.1%23.8%0.1%0%0%0%9
81.8%81.8%18.1%0.1%0%0%0%10
87.8%87.7%12.2%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.4s (23.5%)

Memory
15.8MiB live, 1 236.9MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 638.0ms
ival-log: 317.0ms (49.7% of total)
ival-hypot: 256.0ms (40.1% of total)
ival-div: 50.0ms (7.8% of total)
ival-true: 6.0ms (0.9% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain323.0ms (5.6%)

Memory
1.6MiB live, 246.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-1(-9.487538729994212e-299 1.852634323070187e-159)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 #s(literal 10 binary64))
00-0-(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
00-0-(*.f64 re re)
00-0-im
015(1.5919419664674894e+181 -5.2974122367008816e+154)0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-re
00-0-(*.f64 im im)
00-0-#s(literal 10 binary64)
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1170
(+.f64 (*.f64 re re) (*.f64 im im))overflow117
(*.f64 re re)overflow63
(*.f64 im im)overflow69
+.f64(+.f64 (*.f64 re re) (*.f64 im im))nan-rescue150
(*.f64 re re)overflow63
(*.f64 im im)overflow69
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue140
(+.f64 (*.f64 re re) (*.f64 im im))underflow14
(*.f64 re re)underflow68
(*.f64 im im)underflow49
Confusion
Predicted +Predicted -
+1311
-0124
Precision
1.0
Recall
0.9924242424242424
Confusion?
Predicted +Predicted MaybePredicted -
+13101
-00124
Precision?
1.0
Recall?
0.9924242424242424
Freqs
test
numberfreq
0125
1116
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
108.0ms512×0valid
Compiler

Compiled 251 to 70 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-log: 39.0ms (43.2% of total)
ival-add: 32.0ms (35.4% of total)
ival-hypot: 9.0ms (10% of total)
ival-mult: 7.0ms (7.7% of total)
ival-div: 3.0ms (3.3% of total)
ival-true: 1.0ms (1.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (0.8%)

Memory
-10.6MiB live, 28.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02462
15062
29662
317362
423862
526062
627162
728262
828562
928662
01012
01712
11812
0187
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.8%
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 re re)
cost-diff0
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
cost-diff0
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
cost-diff128
(+.f64 (*.f64 re re) (*.f64 im im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
01747
11847
01831
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 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)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 im re)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

localize39.0ms (0.7%)

Memory
-10.5MiB live, 71.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.00390625
(+.f64 (*.f64 re re) (*.f64 im im))
accuracy0.6589050781475362
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy30.526050369719087
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
27.0ms256×0valid
Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-log: 6.0ms (35% of total)
ival-hypot: 5.0ms (29.2% of total)
ival-mult: 3.0ms (17.5% of total)
ival-div: 2.0ms (11.7% of total)
ival-add: 2.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
6 → 108
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow im 2) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10))) (taylor 0 re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor 0 re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (+ 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))))) (taylor 0 re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log 10))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))) (taylor inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log (/ 1 re))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf re) (#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor inf re) (#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf re) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (pow re 2) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log 10))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))) (taylor -inf re) (#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
3.0ms
im
@0
((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
3.0ms
re
@0
((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
3.0ms
re
@inf
((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
2.0ms
im
@inf
((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))
1.0ms
re
@-inf
((+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (* re re) (sqrt (+ (* re re) (* im im))) (log 10))

simplify169.0ms (2.9%)

Memory
-6.3MiB live, 181.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681676
17301632
222031630
357991618
083921506
Stop Event
iter limit
node limit
Counts
108 → 104
Calls
Call 1
Inputs
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ 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)))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -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))))))))
(pow re 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log re) (log 10))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (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))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ 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)))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* 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)))))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -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))))))))
Outputs
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)))
(+ (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))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) re) (/.f64 re (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 im)))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im)
(+ 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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im))
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ 1 re)) (log 10)))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))
(+ (* -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))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re))))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64))) re)
(* 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)))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) #s(literal 1 binary64)))) re)
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))))
(* -1 (log (/ -1 re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 (/.f64 (/.f64 im re) re) im) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -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))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) im) im (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(pow re 2)
(*.f64 re re)
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64) (neg.f64 re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(*.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) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64))) re)
(* -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))))))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (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) im) (/.f64 (/.f64 im re) re) #s(literal -1 binary64)))) re)
(pow re 2)
(*.f64 re re)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(/ (log re) (log 10))
(/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 (*.f64 im im) re) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log 10)))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log 10)))) (* 1/4 (/ 1 (* (pow re 4) (log 10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 10)))))) (/ (log re) (log 10)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 (log.f64 #s(literal 10 binary64)) re)) (/.f64 im re) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64)))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (log.f64 re))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))
(+ (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))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 im re) re) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) im) (/.f64 im (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)) (log.f64 re)))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) im) (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(+ 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)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 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)
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) im) im)) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (log.f64 im)))
(+ (* -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))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (fma.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 im))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64)))) im (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* 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)))))))
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (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) #s(literal 1 binary64)))) im)
(pow im 2)
(*.f64 im im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 re re (*.f64 im im))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 (log.f64 #s(literal 10 binary64)) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/720 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(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 (/.f64 (/.f64 re im) im) re) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -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))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) re) re (fma.f64 (*.f64 (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.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) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64))) im)
(* -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))))))))
(*.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 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) re) (/.f64 (/.f64 re im) im) #s(literal -1 binary64)))) im)

rewrite172.0ms (3%)

Memory
4.4MiB live, 242.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
01741
14441
225141
3204641
0838725
Stop Event
iter limit
node limit
iter limit
Counts
6 → 317
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 re re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(log.f64 #s(literal 10 binary64))
Outputs
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eval59.0ms (1%)

Memory
-17.9MiB live, 102.6MiB allocated
Compiler

Compiled 10 557 to 1 829 computations (82.7% saved)

prune15.0ms (0.3%)

Memory
0.5MiB live, 40.0MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New41110421
Fresh000
Picked101
Done000
Total41210422
Accuracy
100.0%
Counts
422 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.4%
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
99.0%
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
98.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
49.8%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
99.0%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
49.8%
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.4%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
99.0%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
98.5%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
Compiler

Compiled 228 to 198 computations (13.2% saved)

simplify11.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff0
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
cost-diff12928
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff0
(*.f64 re re)
cost-diff0
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
cost-diff0
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff128
(+.f64 (*.f64 re re) (*.f64 im im))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(log.f64 im)
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033183
052157
167157
283151
395151
4138151
5181151
6206151
7226151
8249151
9267151
10270151
11276151
12276151
0276150
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 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)
re
(*.f64 im im)
im
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal -1/2 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1/2 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
#s(literal -1/2 binary64)
#s(literal 2 binary64)

localize94.0ms (1.6%)

Memory
5.7MiB live, 165.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.08984375
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
accuracy0.33984375
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy0.43691259768442026
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0
(log.f64 (hypot.f64 im re))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.203125
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy0.43691259768442026
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
accuracy0.4941788086106521
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy0.7421875
(log.f64 #s(literal 1/10 binary64))
accuracy27.134860465153654
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
accuracy0
(log.f64 im)
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.08286038393155391
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.4941788086106521
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy0
(log.f64 (hypot.f64 im re))
accuracy0.203125
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy0.43691259768442026
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0.7421875
(log.f64 #s(literal 1/10 binary64))
Samples
55.0ms190×0valid
18.0ms66×0invalid
Compiler

Compiled 409 to 57 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 17.0ms (32.8% of total)
ival-div: 9.0ms (17.4% of total)
ival-hypot: 8.0ms (15.4% of total)
const: 4.0ms (7.7% of total)
ival-pow: 4.0ms (7.7% of total)
ival-mult: 3.0ms (5.8% of total)
ival-pow2: 3.0ms (5.8% of total)
ival-add: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series100.0ms (1.7%)

Memory
5.3MiB live, 159.9MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 re re) (*.f64 im im)) (patch (+.f64 (*.f64 re re) (*.f64 im im)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (patch (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #<representation binary64>) () ())
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) #<representation binary64>) () ())) ())
#s(alt (/ (log 1/10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im))) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt (log.f64 (hypot.f64 im re)) (patch (log.f64 (hypot.f64 im re)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))) (taylor -inf im) (#s(alt (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
#s(alt (* -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)))))))) (taylor -inf im) (#s(alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (patch (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
35.0ms
im
@0
((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))))
18.0ms
im
@-inf
((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))))
14.0ms
im
@inf
((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))))
9.0ms
re
@inf
((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))))
6.0ms
re
@-inf
((/ -1 (/ (log 1/10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 1/10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (log 10) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (+ (* re re) (* im im))))

simplify200.0ms (3.4%)

Memory
-15.5MiB live, 267.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09959498
131429122
083348718
Stop Event
iter limit
node limit
Counts
336 → 332
Calls
Call 1
Inputs
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log 1/10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(/ (log 10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(sqrt (/ (log im) (log 10)))
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* -1/2 (* (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im))))))) (sqrt (/ (log 10) (log im))))) (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))))
(+ (sqrt (/ (log im) (log 10))) (* (pow re 2) (+ (* 1/4 (* (/ 1 (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))) (* (pow re 2) (+ (* -1/2 (* (sqrt (/ (log 10) (log im))) (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))))) (* 1/2 (* (* (pow re 2) (- (* 1/6 (/ 1 (* (pow im 6) (log 10)))) (* -1/4 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (log 10)))) (* 1/16 (/ 1 (* (pow im 4) (* (log 10) (log im)))))) (* (pow im 2) (log im)))))) (sqrt (/ (log 10) (log im))))))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ 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)))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (/ (log 1/10) (log (/ 1 re))))
(+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 1/10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(pow re 2)
(pow re 2)
(pow re 2)
(pow re 2)
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log 10) (log (/ 1 re))))
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
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(+ (* -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))))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (/ (log 10) (log (/ 1 im))))
(+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ 1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))))
(* -1 (/ (log (/ 1 im)) (log 10)))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ 1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ 1 im)) (pow (sqrt -1) 2))))))) (* (log (/ 1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ 1 im)))))) (* (sqrt (/ (log (/ 1 im)) (log 10))) (sqrt -1)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* 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)))))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1 (/ (log 1/10) (log (/ -1 im))))
(+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 1/10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 1/10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 1/10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* -1 (/ (log 10) (log (/ -1 im))))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1))))
(+ (* 1/4 (* (/ (pow re 2) (* (pow im 2) (sqrt -1))) (sqrt (/ 1 (* (log 10) (log (/ -1 im))))))) (+ (* 1/2 (* (/ (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2)))))) (* (pow im 4) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (+ (* 1/2 (* (/ (- (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log 10))) (* 1/4 (/ (* (pow re 2) (- (* -1/4 (/ (pow re 4) (log 10))) (* 1/16 (/ (pow re 4) (* (log 10) (* (log (/ -1 im)) (pow (sqrt -1) 2))))))) (* (log (/ -1 im)) (pow (sqrt -1) 2))))) (* (pow im 6) (sqrt -1))) (sqrt (/ (log 10) (log (/ -1 im)))))) (* (sqrt (/ (log (/ -1 im)) (log 10))) (sqrt -1)))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -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))))))))
Outputs
(* -1 (/ (log im) (log 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) im) im))) (*.f64 re re) (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(+ (* -1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 1/10) (log im)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) im) (/.f64 (*.f64 re re) im)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 re re) (*.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 1/10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 1/10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 1/10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 1/10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 1/10) (log im)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (neg.f64 re) re) (fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 (*.f64 (log.f64 im) im) im)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))))) (*.f64 re re) (*.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 im im)) (pow.f64 (log.f64 im) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 re re) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (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))))))
(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 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) im) im))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
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(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
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(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
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(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(*.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (neg.f64 im) (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) #s(literal 1 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))))))))
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rewrite139.0ms (2.4%)

Memory
5.4MiB live, 199.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033129
052103
114695
265895
3574795
0820194
Stop Event
iter limit
node limit
iter limit
Counts
17 → 839
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))
(log.f64 #s(literal 1/10 binary64))
(log.f64 (hypot.f64 im re))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
(log.f64 #s(literal 10 binary64))
(+.f64 (*.f64 re re) (*.f64 im im))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 re re)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Outputs
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eval234.0ms (4%)

Memory
24.2MiB live, 410.2MiB allocated
Compiler

Compiled 33 780 to 3 892 computations (88.5% saved)

prune39.0ms (0.7%)

Memory
-4.7MiB live, 121.6MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 559121 571
Fresh415
Picked415
Done000
Total1 567141 581
Accuracy
100.0%
Counts
1 581 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.3%
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
73.3%
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
73.3%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
99.0%
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
49.8%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
49.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
98.5%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
99.0%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64))))
98.0%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
98.8%
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
98.0%
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
Compiler

Compiled 282 to 279 computations (1.1% saved)

simplify88.0ms (1.5%)

Memory
-9.7MiB live, 105.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 im)
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
cost-diff13184
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
cost-diff0
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
cost-diff0
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
cost-diff0
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
cost-diff0
(fma.f64 im im (*.f64 re re))
cost-diff0
(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff0
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff0
(log.f64 im)
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff0
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
cost-diff7040
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043221
065208
187208
2132206
3233205
4383205
5668205
61542205
72964205
85259205
08069205
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
im
(*.f64 re re)
re
#s(literal 1/2 binary64)
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 2 binary64)
Outputs
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
(log.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
im
(*.f64 re re)
re
#s(literal 1/2 binary64)
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(log.f64 im)
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 2 binary64)

localize140.0ms (2.4%)

Memory
-5.0MiB live, 238.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.39423754884221013
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
accuracy0.4245300781475362
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.7421875
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
accuracy0.7421875
(log.f64 #s(literal 1/10 binary64))
accuracy0.07688447435149115
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
accuracy0.09375
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
accuracy0.33984375
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
accuracy0.4980850586106521
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy0
(*.f64 re re)
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.4941788086106521
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy28.329428588642106
(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy0
(log.f64 im)
accuracy0.08286038393155391
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.4941788086106521
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.7421875
(log.f64 #s(literal 1/10 binary64))
accuracy0.203125
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
accuracy0.2265625
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
accuracy0.7421875
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy0.7421875
(log.f64 #s(literal 1/10 binary64))
Samples
87.0ms190×0valid
23.0ms66×0invalid
Compiler

Compiled 418 to 68 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-log: 20.0ms (24.6% of total)
ival-pow2: 14.0ms (17.2% of total)
ival-div: 11.0ms (13.5% of total)
ival-pow: 10.0ms (12.3% of total)
ival-hypot: 8.0ms (9.8% of total)
ival-mult: 6.0ms (7.4% of total)
const: 4.0ms (4.9% of total)
ival-sqrt: 3.0ms (3.7% of total)
ival-neg: 2.0ms (2.5% of total)
ival-add: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series122.0ms (2.1%)

Memory
20.9MiB live, 217.6MiB allocated
Counts
21 → 360
Calls
Call 1
Inputs
#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())
#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())
#s(alt (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) (patch #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) (patch (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 re re) (patch (*.f64 re re) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (patch (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log im)) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (patch (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10))))))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/2 (/ (pow re 2) (pow im 2))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (- (* (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))))) (log im)) (taylor 0 re) (#s(alt (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
#s(alt (log im) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 re) (#s(alt #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (patch #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (log (pow im 2)) (log 10))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10))))))) (taylor 0 re) (#s(alt (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (log (pow im 2))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2)))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (log (pow im 2))) (* (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)))))) (taylor 0 re) (#s(alt (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (log (pow im 2)) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (taylor 0 re) (#s(alt (log.f64 (fma.f64 im im (*.f64 re re))) (patch (log.f64 (fma.f64 im im (*.f64 re re))) #<representation binary64>) () ())) ())
#s(alt (pow im 2) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ())
#s(alt (+ (pow im 2) (pow re 2)) (taylor 0 re) (#s(alt (fma.f64 im im (*.f64 re re)) (patch (fma.f64 im im (*.f64 re re)) #<representation binary64>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (sqrt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))) (taylor -inf im) (#s(alt (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) (patch (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10)) (taylor -inf im) (#s(alt (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (log (/ -1 im)) (log 1/10)) (taylor -inf im) (#s(alt (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) (patch (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))) (taylor -inf im) (#s(alt (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) (patch (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))) (taylor -inf im) (#s(alt (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) (patch (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (log (/ -1 im)) (pow (log 1/10) 2)) (taylor -inf im) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2))) (taylor -inf im) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2)))) (taylor -inf im) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2))))) (taylor -inf im) (#s(alt (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (patch (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
49.0ms
im
@0
((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 1/10)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 10) (* re re) (pow (log 1/10) 2))
24.0ms
im
@inf
((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 1/10)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 10) (* re re) (pow (log 1/10) 2))
19.0ms
im
@-inf
((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 1/10)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 10) (* re re) (pow (log 1/10) 2))
6.0ms
re
@0
((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 1/10)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 10) (* re re) (pow (log 1/10) 2))
4.0ms
re
@inf
((/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (log 1/10) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (neg (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (pow (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) 2) (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt (/ (log im) (log 10))) (/ (log im) (log 10)) (* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 1/10)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 2))) (log 10) (* re re) (pow (log 1/10) 2))

simplify198.0ms (3.4%)

Memory
-9.5MiB live, 268.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09428906
126918576
089608206
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1 (log im))
(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im))
(- (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))) (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))))) (log im))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (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))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(sqrt (/ (log im) (log 10)))
(+ (sqrt (/ (log im) (log 10))) (* 1/4 (* (/ (pow re 2) (pow im 2)) (sqrt (/ 1 (* (log 10) (log im)))))))
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Outputs
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(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (log (/ -1 im)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(fma.f64 (/.f64 #s(literal -1/720 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))))
(/ (log (/ -1 im)) (pow (log 1/10) 2))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2)))))
(fma.f64 (/.f64 #s(literal -1/720 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))))

rewrite159.0ms (2.7%)

Memory
-4.4MiB live, 227.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043176
065162
1186147
2900147
36991147
08031147
Stop Event
iter limit
node limit
iter limit
Counts
21 → 866
Calls
Call 1
Inputs
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(log.f64 (fma.f64 im im (*.f64 re re)))
(fma.f64 im im (*.f64 re re))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
#s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(log.f64 #s(literal 10 binary64))
(*.f64 re re)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
Outputs
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eval170.0ms (2.9%)

Memory
43.9MiB live, 354.5MiB allocated
Compiler

Compiled 27 570 to 3 907 computations (85.8% saved)

prune38.0ms (0.7%)

Memory
-19.3MiB live, 101.8MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New1 40861 414
Fresh448
Picked235
Done011
Total1 414141 428
Accuracy
100.0%
Counts
1 428 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
73.2%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
73.3%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
98.5%
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
49.8%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
49.3%
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
49.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
98.5%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.0%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
98.8%
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
Compiler

Compiled 238 to 245 computations (-2.9% saved)

simplify73.0ms (1.3%)

Memory
10.3MiB live, 49.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
cost-diff7040
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff320
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
cost-diff384
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff0
#s(approx (+ (* im im) (* re re)) (*.f64 im im))
cost-diff0
(log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))
cost-diff0
(*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
cost-diff0
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff12800
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038301
061299
187299
2143282
3267281
4480281
5825281
61468281
71743281
82181281
92547281
102714281
112729281
122752281
132775281
142777281
02777241
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -2 binary64)
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64))
(log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))
#s(approx (+ (* im im) (* re re)) (*.f64 im im))
(*.f64 im im)
im
#s(literal 1/2 binary64)
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
#s(literal 1 binary64)
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal -1 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
Outputs
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -2 binary64)
(neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))))
(*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))))
(log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))
#s(approx (+ (* im im) (* re re)) (*.f64 im im))
(*.f64 im im)
im
#s(literal 1/2 binary64)
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal 1 binary64)
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 (*.f64 #s(literal -2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (*.f64 im im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 1/2 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal -1 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im

localize139.0ms (2.4%)

Memory
-32.0MiB live, 211.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.26953125
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy0.36074219874764196
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy1.0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
accuracy0.630233789073768
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy31.8003396489509
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy0.36074219874764196
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.6110726074528623
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.4699491185419036
#s(approx (+ (* im im) (* re re)) (*.f64 im im))
accuracy0.6589050781475362
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy31.8003396489509
(log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))
accuracy0.36074219874764196
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.6110726074528622
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
accuracy1.0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
Samples
114.0ms256×0valid
Compiler

Compiled 465 to 68 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-log: 19.0ms (28.7% of total)
ival-div: 12.0ms (18.1% of total)
ival-mult: 11.0ms (16.6% of total)
ival-pow: 10.0ms (15.1% of total)
const: 5.0ms (7.6% of total)
ival-hypot: 4.0ms (6% of total)
ival-add: 3.0ms (4.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory
-13.0MiB live, 64.5MiB allocated
Counts
19 → 336
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64))) (patch (*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (patch (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) (patch (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* im im) (* re re)) (*.f64 im im)) (patch #s(approx (+ (* im im) (* re re)) (*.f64 im im)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())
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Outputs
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Calls

6 calls:

TimeVariablePointExpression
5.0ms
re
@0
((* (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (log 1/10)) (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -2) (log 1/10) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ 1 (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im)))))) (/ (log 1/10) 1/2) (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im))))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (+ (* re re) (* im im))))
3.0ms
re
@inf
((* (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (log 1/10)) (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -2) (log 1/10) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ 1 (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im)))))) (/ (log 1/10) 1/2) (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im))))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (+ (* re re) (* im im))))
3.0ms
im
@inf
((* (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (log 1/10)) (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -2) (log 1/10) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ 1 (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im)))))) (/ (log 1/10) 1/2) (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im))))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (+ (* re re) (* im im))))
3.0ms
im
@0
((* (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (log 1/10)) (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -2) (log 1/10) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ 1 (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im)))))) (/ (log 1/10) 1/2) (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im))))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (+ (* re re) (* im im))))
2.0ms
im
@-inf
((* (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (log 1/10)) (* (pow (log 1/10) -2) (neg (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -2) (log 1/10) (/ (* (log (+ (* im im) (* re re))) 1/2) (log 10)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (* im im) (* re re)) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (log (sqrt (+ (* re re) (* im im)))) (/ 1 (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im)))))) (/ (log 1/10) 1/2) (* (/ (log 1/10) 1/2) (/ -1 (log (+ (* re re) (* im im))))) (/ (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im)))))) (pow (log 1/10) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (log (+ (* re re) (* im im))))

simplify201.0ms (3.5%)

Memory
25.2MiB live, 337.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011009946
132809716
084449280
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -1 (/ (log im) (pow (log 1/10) 2)))
(+ (* -1 (/ (log im) (pow (log 1/10) 2))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))))
(+ (* -1 (/ (log im) (pow (log 1/10) 2))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (pow (log 1/10) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 2)))))))
(+ (* -1 (/ (log im) (pow (log 1/10) 2))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (pow (log 1/10) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log 1/10) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 2)))))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (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))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(/ (log 10) (log im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(+ (* (pow re 2) (- (* (pow re 2) (- (* -1 (* (pow re 2) (+ (* -1/2 (/ (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))) (+ (* 1/8 (/ (log 10) (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ (log 10) (* (pow im 6) (pow (log im) 2)))))))) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ (log 10) (* (pow im 2) (pow (log im) 2)))))) (/ (log 10) (log im)))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (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))))))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(* -2 (/ (log 1/10) (log (pow im 2))))
(+ (* -2 (/ (log 1/10) (log (pow im 2)))) (* 2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (pow im 2)) 2)))))
(+ (* -2 (/ (log 1/10) (log (pow im 2)))) (* (pow re 2) (+ (* 2 (* (pow re 2) (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))))) (* 2 (/ (log 1/10) (* (pow im 2) (pow (log (pow im 2)) 2)))))))
(+ (* -2 (/ (log 1/10) (log (pow im 2)))) (* (pow re 2) (+ (* 2 (/ (log 1/10) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* (pow re 2) (+ (* 2 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2))))) (* (pow im 2) (log (pow im 2))))) (+ (* 1/3 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 1/2 (/ (log 1/10) (* (pow im 6) (pow (log (pow im 2)) 3)))))))) (* 2 (+ (* -1 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 3)))) (* -1/2 (/ (log 1/10) (* (pow im 4) (pow (log (pow im 2)) 2)))))))))))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log (/ 1 re)) (pow (log 1/10) 2))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 2)))) (/ (log (/ 1 re)) (pow (log 1/10) 2)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log 1/10) 2)))) (/ (log (/ 1 re)) (pow (log 1/10) 2))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 2)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log 1/10) 2)))) (/ (log (/ 1 re)) (pow (log 1/10) 2)))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log 10) (log (/ 1 re))))
(+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3)))) (pow re 4)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ 1 re)))) (* -1 (/ (+ (* -1/8 (/ (* (pow im 6) (log 10)) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (* (pow im 4) (log 10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6)))) (+ (* -1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (* (pow im 4) (log 10)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/2 (/ (* (pow im 2) (log 10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log 1/10) (log (/ 1 re)))
(+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ (log 1/10) (log (/ 1 re))))
(+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (/ (log 1/10) (log (/ 1 re)))))
(+ (* 1/2 (/ (* (pow im 2) (log 1/10)) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 2 (/ (+ (* -1/16 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log 1/10)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (/ (log 1/10) (log (/ 1 re))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ 1 (log (/ 1 re)))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2)))) (pow re 4))) (/ 1 (log (/ 1 re)))) (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))))
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (+ (* 1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))))) (log (/ 1 re)))))) (pow re 6))) (/ 1 (log (/ 1 re)))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(/ (log (/ -1 re)) (pow (log 1/10) 2))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 2)))) (/ (log (/ -1 re)) (pow (log 1/10) 2)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log 1/10) 2)))) (/ (log (/ -1 re)) (pow (log 1/10) 2))))
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(/ (log (/ 1 im)) (log 1/10))
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(/ 1 (log (/ 1 im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2)))) (pow im 4))) (/ 1 (log (/ 1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
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(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
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(/ (log (/ -1 im)) (pow (log 1/10) 2))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 2)))) (/ (log (/ -1 im)) (pow (log 1/10) 2)))
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(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
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(* -1 (/ (log 10) (log (/ -1 im))))
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(/ 1 (log (/ -1 im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
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Outputs
(* -1 (/ (log im) (log 1/10)))
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(pow im 2)
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(/ (log im) (log 10))
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(/ (log (/ -1 im)) (log 1/10))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
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(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (*.f64 (/.f64 re im) (/.f64 re im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
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rewrite229.0ms (3.9%)

Memory
-10.2MiB live, 277.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038216
061218
1175211
2947192
36889192
08958156
Stop Event
iter limit
node limit
iter limit
Counts
19 → 910
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
(log.f64 #s(literal 1/10 binary64))
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64))
(log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))
#s(approx (+ (* im im) (* re re)) (*.f64 im im))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 (fma.f64 re re (*.f64 im im)))
Outputs
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eval202.0ms (3.5%)

Memory
8.1MiB live, 348.1MiB allocated
Compiler

Compiled 29 473 to 3 905 computations (86.8% saved)

prune44.0ms (0.8%)

Memory
-19.3MiB live, 117.3MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New1 42061 426
Fresh235
Picked235
Done044
Total1 424161 440
Accuracy
100.0%
Counts
1 440 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.2%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
73.2%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
73.3%
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.0%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
49.8%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
49.3%
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
49.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
98.5%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.8%
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
49.1%
(*.f64 (neg.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
Compiler

Compiled 540 to 288 computations (46.7% saved)

regimes85.0ms (1.5%)

Memory
7.1MiB live, 165.1MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.f64 (neg.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) (log.f64 #s(literal 10 binary64))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
Calls

8 calls:

12.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
11.0ms
(*.f64 im im)
11.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
11.0ms
im
10.0ms
re
Results
AccuracySegmentsBranch
99.0%1re
99.0%1im
99.0%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.0%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.0%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.0%1(+.f64 (*.f64 re re) (*.f64 im im))
99.0%1(*.f64 re re)
99.0%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes51.0ms (0.9%)

Memory
12.9MiB live, 88.7MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.f64 (neg.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
(pow.f64 #s(approx (pow (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) -1/2) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
Calls

8 calls:

8.0ms
re
6.0ms
im
6.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
6.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
6.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
Results
AccuracySegmentsBranch
99.0%1im
99.0%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.0%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.0%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.0%1(+.f64 (*.f64 re re) (*.f64 im im))
99.0%1(*.f64 im im)
99.0%1re
99.0%1(*.f64 re re)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes62.0ms (1.1%)

Memory
-15.4MiB live, 64.4MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.f64 (neg.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
Calls

8 calls:

22.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
9.0ms
(*.f64 im im)
5.0ms
im
5.0ms
re
5.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
98.5%1re
98.5%1im
98.5%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.5%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.5%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.5%1(+.f64 (*.f64 re re) (*.f64 im im))
98.5%1(*.f64 re re)
98.5%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes51.0ms (0.9%)

Memory
-16.8MiB live, 21.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(approx (+ (* im im) (* re re)) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
Calls

8 calls:

2.0ms
re
2.0ms
im
2.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
2.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
2.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
98.5%1re
98.5%1im
98.5%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.5%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.5%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.5%1(+.f64 (*.f64 re re) (*.f64 im im))
98.5%1(*.f64 re re)
98.5%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes10.0ms (0.2%)

Memory
23.7MiB live, 23.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

1.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
1.0ms
im
1.0ms
re
1.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
1.0ms
(*.f64 im im)
Results
AccuracySegmentsBranch
98.4%1re
98.4%1im
98.4%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.4%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.4%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.4%1(+.f64 (*.f64 re re) (*.f64 im im))
98.4%1(*.f64 re re)
98.4%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify25.0ms (0.4%)

Memory
8.4MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02565
13465
24565
35365
45765
55865
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))

soundness490.0ms (8.4%)

Memory
-16.7MiB live, 347.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033129
052103
114695
265895
3574795
0820194
01041
01741
14441
225141
3204641
0838725
02681676
17301632
222031630
357991618
083921506
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 135 to 95 computations (29.6% saved)

preprocess66.0ms (1.1%)

Memory
-5.7MiB live, 106.1MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 262 to 220 computations (16% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...