math.log10 on complex, real part

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze87.0ms (1.1%)

Memory
-17.8MiB live, 107.4MiB 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)

sample981.0ms (12.8%)

Memory
38.0MiB live, 1 776.6MiB allocated
Samples
716.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 497.0ms
ival-log: 266.0ms (53.6% of total)
ival-hypot: 153.0ms (30.8% of total)
ival-div: 63.0ms (12.7% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain133.0ms (1.7%)

Memory
-9.6MiB live, 280.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-2(-1.8260355162018528e-224 1.6598346182392385e-162)(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
00-0-(+.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-rescue960
(+.f64 (*.f64 re re) (*.f64 im im))overflow96
(*.f64 re re)overflow53
(*.f64 im im)overflow54
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue140
(+.f64 (*.f64 re re) (*.f64 im im))underflow14
(*.f64 re re)underflow76
(*.f64 im im)underflow58
Confusion
Predicted +Predicted -
+1102
-0144
Precision
1.0
Recall
0.9821428571428571
Confusion?
Predicted +Predicted MaybePredicted -
+11002
-00144
Precision?
1.0
Recall?
0.9821428571428571
Freqs
test
numberfreq
0146
1110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 110 to 34 computations (69.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-hypot: 14.0ms (34.2% of total)
ival-log: 13.0ms (31.7% of total)
ival-mult: 7.0ms (17.1% of total)
ival-div: 3.0ms (7.3% of total)
ival-add: 2.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.3%)

Memory
-2.9MiB live, 36.1MiB allocated
Algorithm
egg-herbie
Rules
54×sub-neg
34×neg-sub0
30×distribute-lft-neg-in
28×unsub-neg
28×neg-mul-1
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
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(/.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
8.1MiB live, 8.1MiB 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))
Rules
lower-hypot.f32
lower-hypot.f64
lower-fma.f64
lift-*.f64
lower-fma.f32
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)

localize34.0ms (0.4%)

Memory
-20.1MiB live, 57.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.6361313476844203
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy25.949511791041736
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
26.0ms256×0valid
Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 6.0ms (33% of total)
ival-hypot: 6.0ms (33% of total)
ival-mult: 4.0ms (22% of total)
ival-div: 2.0ms (11% of total)
ival-add: 1.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB 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>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
2.0ms
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
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))
2.0ms
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))
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))

simplify206.0ms (2.7%)

Memory
-12.6MiB live, 219.2MiB allocated
Algorithm
egg-herbie
Rules
14 804×lower-fma.f64
14 804×lower-fma.f32
4 746×lower-*.f64
4 746×lower-*.f32
3 910×lower-+.f64
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)

rewrite198.0ms (2.6%)

Memory
23.0MiB live, 179.7MiB allocated
Rules
4 802×lower-fma.f64
4 802×lower-fma.f32
3 340×lower-*.f32
3 336×lower-*.f64
3 206×lower-/.f32
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
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(*.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (exp.f64 (neg.f64 (log.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 im re) (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (*.f64 im im) (fma.f64 im im (*.f64 re re)) (pow.f64 re #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (pow.f64 re #s(literal 8 binary64))))
(*.f64 (pow.f64 (+.f64 im re) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 im im (*.f64 re re)))
(*.f64 (/.f64 (fma.f64 im im (*.f64 re re)) (+.f64 im re)) (+.f64 im re))
(*.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 im re) (-.f64 im re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) #s(literal -1 binary64)))
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(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))) (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 im #s(literal 18 binary64)) (pow.f64 re #s(literal 18 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (-.f64 re im) (+.f64 im re))) (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (exp.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (+.f64 (+.f64 (pow.f64 (*.f64 im re) #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 re #s(literal 8 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 9 binary64)) (pow.f64 re #s(literal 9 binary64))) (sqrt.f64 (*.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 12 binary64)) (pow.f64 im #s(literal 12 binary64))) (pow.f64 (*.f64 im re) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (+.f64 im re) (-.f64 im re)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 im re)
(hypot.f64 re im)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (hypot.f64 im re)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))))
(log.f64 #s(literal 10 binary64))

eval67.0ms (0.9%)

Memory
-15.5MiB live, 104.1MiB allocated
Compiler

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

prune16.0ms (0.2%)

Memory
17.5MiB live, 56.9MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New40912421
Fresh000
Picked101
Done000
Total41012422
Accuracy
100.0%
Counts
422 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(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))))
99.0%
(/.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)))))
57.4%
(/.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)))
57.4%
(/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
57.4%
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.6%
(/.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))))
26.6%
(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))
Compiler

Compiled 312 to 262 computations (16% saved)

simplify13.0ms (0.2%)

Memory
-12.4MiB live, 26.7MiB 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
(hypot.f64 im re)
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff0
(neg.f64 (log.f64 (hypot.f64 im re)))
cost-diff0
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
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 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))))
Rules
86×lower-*.f32
82×lower-*.f64
66×lower-fma.f64
66×lower-fma.f32
40×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032179
051152
168152
283148
396148
4134148
5181148
6216148
7234148
8242148
9248148
10251148
11257148
12257148
0257147
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.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
(/.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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(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 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
(/.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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 (hypot.f64 im re)))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(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)

localize92.0ms (1.2%)

Memory
11.4MiB live, 170.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.09375
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/2 binary64))
accuracy0.328125
(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))
accuracy0.44177631837909415
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0
(neg.f64 (log.f64 (hypot.f64 im re)))
accuracy0
(log.f64 (hypot.f64 im re))
accuracy0.48378759768442026
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy0
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
accuracy0.48378759768442026
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy22.316390264110773
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
accuracy0
(log.f64 im)
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.119607813862084
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.48378759768442026
(/.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
(log.f64 #s(literal 10 binary64))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy0.44177631837909415
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
Samples
57.0ms189×0valid
17.0ms67×0invalid
Compiler

Compiled 240 to 28 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-log: 18.0ms (35.6% of total)
ival-div: 8.0ms (15.8% of total)
ival-hypot: 8.0ms (15.8% of total)
const: 4.0ms (7.9% of total)
ival-pow: 4.0ms (7.9% of total)
ival-mult: 3.0ms (5.9% of total)
ival-pow2: 2.0ms (4% of total)
ival-neg: 2.0ms (4% of total)
ival-add: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series94.0ms (1.2%)

Memory
6.9MiB live, 158.1MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#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 (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 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 (+.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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())
#s(alt (hypot.f64 im re) (patch (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>) () ())
#s(alt (log.f64 #s(literal 1/10 binary64)) (patch (log.f64 #s(literal 1/10 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#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 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#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 (+ (* (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 #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 (+ (* (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 #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 (/ (log 10) (log im)) (taylor 0 re) (#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 (+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im))) (taylor 0 re) (#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 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))) (taylor 0 re) (#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 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))) (taylor 0 re) (#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 (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>) () ())) ())
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#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 (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10))) (taylor 0 re) (#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 (+ (* (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 #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 (+ (* (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 #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 (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 (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 (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#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 (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10))))) (taylor 0 re) (#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 (+ (* -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 (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 (+ (* -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 (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 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 (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (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 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (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 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (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 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (log im)) (taylor 0 re) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (neg.f64 (log.f64 (hypot.f64 im re))) (patch (neg.f64 (log.f64 (hypot.f64 im re))) #<representation binary64>) () ())) ())
#s(alt (* -1 im) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor -inf im) (#s(alt (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
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#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 (hypot.f64 im re) (patch (hypot.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log 10))) (taylor -inf im) (#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 (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))) (taylor -inf im) (#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 (+ (* -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)))))) (taylor -inf im) (#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 (+ (* -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))))))) (taylor -inf im) (#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 (* (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>) () ())) ())
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#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
36.0ms
im
@0
((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (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))) (log 1/10))
17.0ms
im
@-inf
((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (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))) (log 1/10))
13.0ms
im
@inf
((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (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))) (log 1/10))
6.0ms
re
@0
((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (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))) (log 1/10))
5.0ms
re
@inf
((/ 1 (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 10) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10))) (log (sqrt (+ (* re re) (* im im)))) (* re re) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (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))) (log 1/10))

simplify213.0ms (2.8%)

Memory
0.7MiB live, 346.4MiB allocated
Algorithm
egg-herbie
Rules
9 184×lower-fma.f64
9 184×lower-fma.f32
7 998×lower-*.f64
7 998×lower-*.f32
3 404×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08378978
125768628
085288208
Stop Event
iter limit
node limit
Counts
360 → 352
Calls
Call 1
Inputs
(/ (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))))))
(/ (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)
(* -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))
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 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)))))
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im
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im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
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(* -1 im)
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Outputs
(/ (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)))
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(+ (* (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)))
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(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(+ (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log im) 2)))) (/ (log 10) (log im)))
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(fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* 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))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* 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)))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1/720 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 re re)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) im) im)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im))

rewrite548.0ms (7.1%)

Memory
-253.5MiB live, 250.5MiB allocated
Rules
3 554×lower-*.f32
3 550×lower-*.f64
3 496×lower-fma.f64
3 496×lower-fma.f32
2 082×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032129
05196
114496
265396
3579096
0840195
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 045
Calls
Call 1
Inputs
(/.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)))
(log.f64 #s(literal 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)
(+.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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 (hypot.f64 im re)))
(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)))
(log.f64 #s(literal 1/10 binary64))
Outputs
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re 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 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (hypot.f64 re im)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))))
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64))) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (log.f64 (hypot.f64 re im)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 re im)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 1/10 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))))
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(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 1/10 binary64))

eval260.0ms (3.4%)

Memory
27.4MiB live, 442.3MiB allocated
Compiler

Compiled 41 424 to 4 624 computations (88.8% saved)

prune114.0ms (1.5%)

Memory
10.9MiB live, 127.7MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 993122 005
Fresh527
Picked325
Done000
Total2 001162 017
Accuracy
100.0%
Counts
2 017 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
37.2%
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
72.7%
(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))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
57.4%
(/.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 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
99.0%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.6%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
25.7%
(/.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
98.6%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
99.0%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
98.6%
(/.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 (/.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)))
98.9%
#s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (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)))))
Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify41.0ms (0.5%)

Memory
-26.2MiB live, 51.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (hypot.f64 re im))
cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
cost-diff0
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
cost-diff0
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 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
(log.f64 #s(literal 10 binary64))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Rules
324×lower-fma.f32
324×lower-*.f32
322×lower-fma.f64
316×lower-*.f64
200×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034187
054177
173177
2108175
3174175
4361175
5539175
6748175
7934175
81031175
91270175
101272175
01272175
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 #s(literal 10 binary64))
#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)))
(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)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
#s(literal -1 binary64)
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(log.f64 #s(literal 10 binary64))
#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 #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)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 im re)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
#s(literal -1 binary64)
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)

localize121.0ms (1.6%)

Memory
-12.7MiB live, 161.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.02734375
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
accuracy0.48378759768442026
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
accuracy0.591694091895471
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.171875
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
accuracy0.459980029305326
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy0
(*.f64 re re)
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.48378759768442026
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
accuracy23.24861387842884
(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy0
(log.f64 im)
accuracy0.119607813862084
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.48378759768442026
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy0
(hypot.f64 re im)
accuracy0
(log.f64 (hypot.f64 re im))
accuracy0
(log.f64 #s(literal 10 binary64))
accuracy0.48378759768442026
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Samples
52.0ms189×0valid
17.0ms67×0invalid
Compiler

Compiled 269 to 31 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 14.0ms (27.4% of total)
ival-div: 10.0ms (19.5% of total)
ival-mult: 7.0ms (13.7% of total)
ival-pow: 7.0ms (13.7% of total)
ival-hypot: 5.0ms (9.8% of total)
const: 4.0ms (7.8% of total)
ival-neg: 2.0ms (3.9% of total)
ival-add: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (1.1%)

Memory
32.7MiB live, 144.7MiB allocated
Counts
20 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 (hypot.f64 re im)) (patch (log.f64 (hypot.f64 re im)) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 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 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) (patch (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 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 re re) (patch (*.f64 re re) #<representation binary64>) () ())
Outputs
#s(alt (/ (log im) (log 10)) (taylor 0 re) (#s(alt (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
17.0ms
im
@-inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (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)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re))
16.0ms
im
@inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (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)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re))
11.0ms
im
@0
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (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)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re))
8.0ms
re
@0
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (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)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re))
7.0ms
re
@-inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (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)) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ -1 (log (sqrt (+ (* re re) (* im im))))) (pow (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) 4) (pow (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) 1/4) (log 1/10) (* re re))

simplify222.0ms (2.9%)

Memory
-9.4MiB live, 331.1MiB allocated
Algorithm
egg-herbie
Rules
7 724×lower-fma.f64
7 724×lower-fma.f32
6 474×lower-*.f64
6 474×lower-*.f32
5 656×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128711636
1396911222
0851110710
Stop Event
iter limit
node limit
Counts
408 → 404
Calls
Call 1
Inputs
(/ (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))))))
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)))))
(* -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)))
(/ (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)))
(/ 1 (log im))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(+ (* (pow re 2) (- (* (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) (+ (* -1 (* (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))
(- (* 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 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)))
(pow (/ (* 1 (log im)) (log 10)) 1/4)
(+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (pow (/ (* 1 (log im)) (log 10)) 1/4))
(+ (* (pow re 2) (+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ 1 (pow im 2)))) (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (* (pow re 2) (+ (* -1/96 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/128 (/ 1 (* (pow im 4) (pow (log im) 2))))))))) (pow (/ (* 1 (log im)) (log 10)) 1/4))
(+ (* (pow re 2) (+ (* 1/8 (* (pow (/ 1 (* (log 10) (pow (log im) 3))) 1/4) (/ 1 (pow im 2)))) (* (pow re 2) (+ (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (* (pow re 2) (+ (* -1/768 (/ (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))) (* (pow im 2) (log im)))) (+ (* 1/3072 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/2880 (+ (* 90 (/ 1 (* (pow im 6) (pow (log im) 2)))) (+ (* 120 (/ 1 (* (pow im 6) (log im)))) (* 30 (/ 1 (* (pow im 6) (pow (log im) 3))))))))))) (* (pow (/ (* 1 (log im)) (log 10)) 1/4) (+ (* -1/96 (+ (* 6 (/ 1 (* (pow im 4) (log im)))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2)))))) (* 1/128 (/ 1 (* (pow im 4) (pow (log im) 2)))))))))) (pow (/ (* 1 (log im)) (log 10)) 1/4))
(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 (/ 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))))))
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)))))))
(/ (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))
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ 1 re))))
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -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 (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)))) (+ (* 1/6 (/ (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)))
(- (* -1/2 (/ (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)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))
(/ 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)))))))
(* -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)))))))
(pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4)))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ 1 re)) 3))) 1/4) (/ (pow im 2) (pow re 2)))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow im 2) (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re)))))) (log (/ 1 re)))) (+ (* -1/3072 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 1/2880 (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* -1 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log (/ 1 re)))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2)))))))) (pow re 6))) (+ (* (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/96 (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))))) (pow re 4))) (pow (/ (* -1 (log (/ 1 re))) (log 10)) 1/4))))
(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 (/ -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 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))))))))
(/ (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))
(- (* -1/2 (/ (pow im 2) (pow re 2))) (* -1 (log (/ -1 re))))
(- (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(- (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
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Outputs
(/ (log im) (log 10))
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(log im)
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im
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(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4)))
(fma.f64 (+.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im))))
(+ (* -1/8 (* (pow (/ -1 (* (log 10) (pow (log (/ -1 im)) 3))) 1/4) (/ (pow re 2) (pow im 2)))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* -1/768 (/ (* (pow re 2) (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im)))))) (log (/ -1 im)))) (+ (* -1/3072 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2880 (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* -1 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log (/ -1 im)))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2)))))))) (pow im 6))) (+ (* (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4) (/ (+ (* 1/128 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/96 (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))))) (pow im 4))) (pow (/ (* -1 (log (/ -1 im))) (log 10)) 1/4))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal -1/768 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -30 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 90 binary64) (/.f64 (neg.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) #s(literal 1/2880 binary64) (/.f64 (*.f64 #s(literal -1/3072 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) #s(literal 1/96 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))))

rewrite196.0ms (2.6%)

Memory
12.3MiB live, 346.8MiB allocated
Rules
3 466×lower-*.f32
3 458×lower-*.f64
3 314×lower-fma.f32
3 312×lower-fma.f64
1 898×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034141
054117
1145114
2682114
35315114
08197114
Stop Event
iter limit
node limit
iter limit
Counts
20 → 962
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (hypot.f64 re im))
(hypot.f64 re 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)))
(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))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
(log.f64 #s(literal 1/10 binary64))
(*.f64 re re)
Outputs
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (exp.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64))))))
(*.f64 (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal 4 binary64)))
(pow.f64 (*.f64 (/.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)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/16 binary64)) #s(literal 16 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 im re))))) (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (exp.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.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)) (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 (log.f64 (fma.f64 im im (*.f64 re re))) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.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))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (fma.f64 im im (*.f64 re re)))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (fma.f64 im im (*.f64 re re)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
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(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/8 binary64))))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))
(pow.f64 (*.f64 (/.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)))) #s(literal -1/8 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1/4 binary64))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (neg.f64 (log.f64 (hypot.f64 im re))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64))))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (neg.f64 (log.f64 (log.f64 (hypot.f64 im re))))))
(/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (log.f64 (hypot.f64 im re)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 re))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))

eval285.0ms (3.7%)

Memory
23.5MiB live, 522.0MiB allocated
Compiler

Compiled 41 487 to 5 239 computations (87.4% saved)

prune47.0ms (0.6%)

Memory
-9.3MiB live, 150.7MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New1 84371 850
Fresh549
Picked235
Done022
Total1 850161 866
Accuracy
100.0%
Counts
1 866 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
72.7%
(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))))
98.6%
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
57.4%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.9%
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
99.0%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.6%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
98.6%
(/.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 (/.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)))
98.9%
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
Compiler

Compiled 308 to 286 computations (7.1% saved)

simplify98.0ms (1.3%)

Memory
12.4MiB live, 159.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(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))))
cost-diff0
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (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
(log.f64 im)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 im))
cost-diff0
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
cost-diff0
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff576
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
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 3 binary64))))
cost-diff19648
(*.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)))
Rules
5 154×lower-*.f32
5 148×lower-*.f64
2 444×lower-neg.f32
2 440×lower-neg.f64
1 742×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051341
074341
1114341
2206341
3460327
41094327
52613327
64704327
08096267
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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 #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))))
#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 3 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
#s(literal 2 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))))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
#s(literal 1 binary64)
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(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)
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
(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))))
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
#s(literal -1/2 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 (/.f64 re im) (/.f64 re im))
(/.f64 re im)
re
im
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 im))
(log.f64 im)
Outputs
(*.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 #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 3 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 3 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal 3 binary64)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
#s(literal 2 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(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
#s(literal -1 binary64)
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
#s(literal 1 binary64)
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log.f64 im)
im
(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)
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (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)))))
(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))))
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (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))))
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
#s(literal -1/2 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 (/.f64 re im) (/.f64 re im))
(*.f64 (/.f64 (/.f64 re im) im) re)
(/.f64 re im)
re
im
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 im))
(log.f64 im)

localize249.0ms (3.2%)

Memory
-61.5MiB live, 264.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.14291000976844204
(*.f64 (/.f64 re im) (/.f64 re im))
accuracy0.48769384768442026
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
accuracy0.73828125
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy0.08984375
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
accuracy0.11610347502763135
#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)))))
accuracy0.328125
(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))
accuracy0.48769384768442026
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy0.11889713407797776
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy0.171875
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
accuracy0.459980029305326
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
accuracy0.119607813862084
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.21875
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy0.44177631837909415
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy0.401386279305326
(*.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)))
accuracy0.73828125
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
accuracy0.73828125
(log.f64 #s(literal 1/10 binary64))
accuracy1.170148096235541
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
Samples
86.0ms67×0invalid
77.0ms189×0valid
Compiler

Compiled 278 to 44 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-pow: 72.0ms (51.1% of total)
ival-div: 20.0ms (14.2% of total)
ival-log: 19.0ms (13.5% of total)
ival-hypot: 8.0ms (5.7% of total)
ival-mult: 7.0ms (5% of total)
ival-pow2: 5.0ms (3.5% of total)
const: 4.0ms (2.8% of total)
ival-neg: 3.0ms (2.1% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-add: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series243.0ms (3.2%)

Memory
6.9MiB live, 278.5MiB allocated
Counts
22 → 372
Calls
Call 1
Inputs
#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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 3 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 3 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 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<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(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) (patch (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (patch #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<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 #s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) (patch #s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))) #<representation binary64>) () ())
#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) #<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 (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (patch (/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 re im) (/.f64 re im)) (patch (*.f64 (/.f64 re im) (/.f64 re im)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 (/ (log im) (log 1/10))) (taylor 0 re) (#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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 (/.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))) (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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 (/.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))) (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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 (/.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))) (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 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log im) (pow (log 1/10) 3))) (taylor 0 re) (#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 3 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 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3))))) (taylor 0 re) (#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 3 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 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (pow (log 1/10) 3)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3))))))) (taylor 0 re) (#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 3 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 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (pow (log 1/10) 3)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log 1/10) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3))))))) (taylor 0 re) (#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 3 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 3 binary64)))) #<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 (/ (log im) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 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 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 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 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 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 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (/ (log 1/10) (log im)) (taylor 0 re) (#s(alt (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (patch (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow re 2) (pow im 2)) (taylor -inf im) (#s(alt (*.f64 (/.f64 re im) (/.f64 re im)) (patch (*.f64 (/.f64 re im) (/.f64 re im)) #<representation binary64>) () ())) ())
#s(alt (/ (pow re 2) (pow im 2)) (taylor -inf im) (#s(alt (*.f64 (/.f64 re im) (/.f64 re im)) (patch (*.f64 (/.f64 re im) (/.f64 re im)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
94.0ms
im
@0
((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (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)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im)))
48.0ms
re
@0
((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (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)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im)))
33.0ms
im
@inf
((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (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)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im)))
31.0ms
im
@-inf
((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (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)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im)))
7.0ms
re
@inf
((* (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (pow (log 1/10) 2)) (/ (log (sqrt (+ (* re re) (* im im)))) (neg (pow (log 1/10) 3))) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10)) (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/ 1 (log im)) (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)) (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/ -1/2 (log 1/10)) (pow (log 1/10) 3) (pow (log 1/10) 2) (/ 1 (* (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (log 10))) (/ (neg (log im)) (log 1/10)) (* (/ re im) (/ re im)))

simplify255.0ms (3.3%)

Memory
-0.8MiB live, 320.3MiB allocated
Algorithm
egg-herbie
Rules
7 936×lower-fma.f64
7 936×lower-fma.f32
6 288×lower-*.f64
6 288×lower-*.f32
5 012×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120610808
1370310428
0830710068
Stop Event
iter limit
node limit
Counts
372 → 372
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) 3)))
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log 1/10) 3)))))
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (pow (log 1/10) 3)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3)))))))
(+ (* -1 (/ (log im) (pow (log 1/10) 3))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (pow (log 1/10) 3)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log 1/10) 3)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log 1/10) 3)))))))
(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 (/ (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 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)))
(/ 1 (log im))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(+ (* (pow re 2) (- (* (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) (+ (* -1 (* (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 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))))))))))
(* -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) (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))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(/ (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)))
(/ (pow re 2) (pow im 2))
(/ (pow re 2) (pow im 2))
(/ (pow re 2) (pow im 2))
(/ (pow re 2) (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) 3))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 3)))) (/ (log (/ 1 re)) (pow (log 1/10) 3)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 3)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log 1/10) 3)))) (/ (log (/ 1 re)) (pow (log 1/10) 3))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log 1/10) 3)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log 1/10) 3)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log 1/10) 3)))) (/ (log (/ 1 re)) (pow (log 1/10) 3)))))
(* -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)))) (+ (* -1/720 (/ (+ (* 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 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)))
(- (* -1/2 (/ (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)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))
(* -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)))))))
(* (sqrt (/ (log (/ 1 re)) (log 10))) (sqrt -1))
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(/.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) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.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) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.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) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 1/10 binary64))))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))))
(+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64)))))
(* -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 #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)))))
(+ (* -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))))))
(+ (* -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)))))))
(-.f64 (fma.f64 (/.f64 #s(literal 1/720 binary64) (log.f64 #s(literal 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 10 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.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)) (log.f64 #s(literal 10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/ (pow re 2) (pow im 2))
(*.f64 (/.f64 re im) (/.f64 re im))
(/ (pow re 2) (pow im 2))
(*.f64 (/.f64 re im) (/.f64 re im))
(/ (pow re 2) (pow im 2))
(*.f64 (/.f64 re im) (/.f64 re im))
(/ (pow re 2) (pow im 2))
(*.f64 (/.f64 re im) (/.f64 re im))

rewrite281.0ms (3.7%)

Memory
3.9MiB live, 200.0MiB allocated
Rules
4 972×lower-/.f32
4 954×lower-/.f64
4 522×lower-*.f32
4 516×lower-*.f64
2 358×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051285
074272
1259268
21529259
08421204
Stop Event
iter limit
node limit
iter limit
Counts
22 → 920
Calls
Call 1
Inputs
(*.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 #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))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
(/.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 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 1/10 binary64))
(*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64)))
#s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(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)))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
(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))))
(/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))
(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 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 re im) (/.f64 re im))
Outputs
(*.f64 (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.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 3/2 binary64))))
(*.f64 (/.f64 (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))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) (/.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))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))) (/.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 3/2 binary64))))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 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 3/2 binary64)))) (/.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 3/2 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)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64))))
(*.f64 (/.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 3/2 binary64))) (/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.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 3/2 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 3/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (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))))
(*.f64 (/.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)))))
(*.f64 (/.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))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.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))) (neg.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (/.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))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (/.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))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))) (neg.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (pow.f64 (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (pow.f64 (log.f64 im) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 im) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 im))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 im)))
(*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 im)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) (*.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 im))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (log.f64 im)) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 re) #s(literal -1 binary64)) (/.f64 (/.f64 re im) im))
(*.f64 (/.f64 (/.f64 re im) #s(literal -1 binary64)) (/.f64 (neg.f64 re) im))
(*.f64 (/.f64 (pow.f64 im #s(literal -1 binary64)) im) (/.f64 re (pow.f64 re #s(literal -1 binary64))))
(*.f64 (exp.f64 (log.f64 (/.f64 re im))) (exp.f64 (log.f64 (/.f64 re im))))
(*.f64 (/.f64 (/.f64 re im) im) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 re) im) (/.f64 (pow.f64 (neg.f64 im) #s(literal -1 binary64)) (pow.f64 re #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 re) im) (/.f64 (neg.f64 re) im))
(*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (*.f64 re re))
(*.f64 (*.f64 (/.f64 re im) re) (pow.f64 im #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal -1 binary64)) (/.f64 (/.f64 re im) (pow.f64 re #s(literal -1 binary64))))
(*.f64 (/.f64 re im) (/.f64 (pow.f64 im #s(literal -1 binary64)) (pow.f64 re #s(literal -1 binary64))))
(*.f64 (/.f64 re im) (/.f64 re im))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))
(*.f64 (*.f64 re re) (pow.f64 (pow.f64 (neg.f64 im) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 re re) (pow.f64 im #s(literal -2 binary64)))
(*.f64 re (/.f64 (/.f64 re im) im))
(*.f64 re (/.f64 re (*.f64 im im)))
(*.f64 re (pow.f64 (*.f64 im (/.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 re im))) #s(literal 2 binary64))
(pow.f64 (/.f64 im (*.f64 (/.f64 re im) re)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 im re) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 re) (/.f64 re im))) (neg.f64 (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 (/.f64 re im) (neg.f64 re))) (neg.f64 (neg.f64 im)))
(/.f64 (neg.f64 (*.f64 (/.f64 re im) #s(literal 1 binary64))) (neg.f64 (/.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 re im) re))) (neg.f64 (neg.f64 im)))
(/.f64 (neg.f64 (neg.f64 (*.f64 re re))) (neg.f64 (neg.f64 (*.f64 im im))))
(/.f64 (neg.f64 (*.f64 (neg.f64 re) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 im) (/.f64 im re))))
(/.f64 (neg.f64 (*.f64 (neg.f64 re) re)) (neg.f64 (*.f64 (neg.f64 im) im)))
(/.f64 (neg.f64 (*.f64 re (neg.f64 re))) (neg.f64 (*.f64 im (neg.f64 im))))
(/.f64 (neg.f64 (*.f64 re #s(literal 1 binary64))) (neg.f64 (*.f64 im (/.f64 im re))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 re))) (neg.f64 (*.f64 (/.f64 im re) (neg.f64 im))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) re)) (neg.f64 (*.f64 (/.f64 im re) im)))
(/.f64 (neg.f64 (/.f64 re im)) (neg.f64 (/.f64 im re)))
(/.f64 (*.f64 (neg.f64 re) (/.f64 re im)) (neg.f64 im))
(/.f64 (*.f64 (/.f64 re im) (neg.f64 re)) (neg.f64 im))
(/.f64 (*.f64 (/.f64 re im) #s(literal 1 binary64)) (/.f64 im re))
(/.f64 (neg.f64 (*.f64 (/.f64 re im) re)) (neg.f64 im))
(/.f64 (neg.f64 (*.f64 re re)) (neg.f64 (*.f64 im im)))
(/.f64 (*.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 im) (/.f64 im re)))
(/.f64 (*.f64 (neg.f64 re) re) (*.f64 (neg.f64 im) im))
(/.f64 (*.f64 re (neg.f64 re)) (*.f64 im (neg.f64 im)))
(/.f64 (*.f64 re #s(literal 1 binary64)) (*.f64 im (/.f64 im re)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 (/.f64 im re) (neg.f64 im)))
(/.f64 (*.f64 #s(literal 1 binary64) re) (*.f64 (/.f64 im re) im))
(/.f64 (*.f64 (/.f64 re im) re) im)
(/.f64 (/.f64 re im) (/.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 im (*.f64 (/.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 im re) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 im (*.f64 (/.f64 re im) re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64))))
(/.f64 (*.f64 re re) (*.f64 im im))
(exp.f64 (-.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 im))))
(exp.f64 (*.f64 (log.f64 (/.f64 re im)) #s(literal 2 binary64)))

eval385.0ms (5%)

Memory
25.1MiB live, 401.4MiB allocated
Compiler

Compiled 35 995 to 5 000 computations (86.1% saved)

prune116.0ms (1.5%)

Memory
10.1MiB live, 103.3MiB allocated
Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New1 46451 469
Fresh156
Picked145
Done055
Total1 466191 485
Accuracy
100.0%
Counts
1 485 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
72.8%
(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))
72.7%
(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))))
57.4%
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.9%
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
99.0%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.6%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.6%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
98.6%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.5%
(/.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 1/10 binary64))))
99.1%
(*.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 -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
98.9%
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
3.1%
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))))
47.9%
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re))))
Compiler

Compiled 697 to 362 computations (48.1% saved)

regimes158.0ms (2.1%)

Memory
4.1MiB live, 117.1MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.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 1/10 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 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
(/.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 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (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)))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re))))
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.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 -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(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 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 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))))
(*.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 (exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 re im))))
(/.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)))))
(-.f64 (/.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))) (log.f64 #s(literal 10 binary64))))
Outputs
(*.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 -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
Calls

8 calls:

38.0ms
(*.f64 im im)
37.0ms
im
34.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
10.0ms
re
10.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Results
AccuracySegmentsBranch
99.1%1re
99.1%1im
99.1%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.1%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.1%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.1%1(+.f64 (*.f64 re re) (*.f64 im im))
99.1%1(*.f64 re re)
99.1%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes147.0ms (1.9%)

Memory
2.0MiB live, 110.2MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.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 1/10 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 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
(/.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 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (neg (log (sqrt (+ (* im im) (* re re))))) (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)))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im 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 (neg.f64 (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (*.f64 (-.f64 (/.f64 (/.f64 (log.f64 im) (*.f64 re re)) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))) (*.f64 re re))))
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (*.f64 (neg.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
Calls

8 calls:

46.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
35.0ms
(*.f64 re re)
8.0ms
re
8.0ms
im
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
99.0%1re
99.0%1(*.f64 re re)
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)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes143.0ms (1.9%)

Memory
4.8MiB live, 131.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.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 1/10 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))))
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
Calls

8 calls:

41.0ms
im
41.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
38.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
5.0ms
re
5.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Results
AccuracySegmentsBranch
99.0%1(*.f64 re re)
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 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes137.0ms (1.8%)

Memory
-26.2MiB live, 54.5MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.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 1/10 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 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

100.0ms
re
10.0ms
im
5.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
4.0ms
(*.f64 im im)
4.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
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 re re)
99.0%1(*.f64 im im)
99.0%1re
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes56.0ms (0.7%)

Memory
5.6MiB live, 44.4MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

31.0ms
(*.f64 re re)
4.0ms
re
4.0ms
im
4.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
4.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Results
AccuracySegmentsBranch
98.9%1re
98.9%1(*.f64 re re)
98.9%1im
98.9%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.9%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.9%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.9%1(+.f64 (*.f64 re re) (*.f64 im im))
98.9%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes59.0ms (0.8%)

Memory
-4.7MiB live, 34.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ -1 (log (sqrt (+ (* re re) (* im im))))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 #s(literal 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 (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))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
Calls

8 calls:

36.0ms
im
3.0ms
re
3.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
3.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
3.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
98.6%1im
98.6%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.6%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.6%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.6%1(+.f64 (*.f64 re re) (*.f64 im im))
98.6%1(*.f64 re re)
98.6%1(*.f64 im im)
98.6%1re
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes17.0ms (0.2%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (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))))
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:

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
98.6%1re
98.6%1im
98.6%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.6%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.6%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.6%1(+.f64 (*.f64 re re) (*.f64 im im))
98.6%1(*.f64 re re)
98.6%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes46.0ms (0.6%)

Memory
-17.1MiB live, 22.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im 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)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
Outputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

2.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
2.0ms
im
2.0ms
re
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
98.6%1re
98.6%1im
98.6%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.6%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.6%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.6%1(+.f64 (*.f64 re re) (*.f64 im im))
98.6%1(*.f64 re re)
98.6%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes10.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))))
Outputs
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 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
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
1.0ms
re
1.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
AccuracySegmentsBranch
3.1%1re
3.1%1im
3.1%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
3.1%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
3.1%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
3.1%1(+.f64 (*.f64 re re) (*.f64 im im))
3.1%1(*.f64 re re)
3.1%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

simplify60.0ms (0.8%)

Memory
-21.0MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Rules
34×*-commutative-binary64-*.f64
18×neg-sub0-binary64--.f64-neg.f64
18×neg-mul-1-binary64-*.f64-neg.f64
16×+-commutative-binary64-+.f64
16×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066169
183169
2103169
3124169
4134169
5139169
6140169
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.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)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #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(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 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(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))))
Outputs
(*.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 -3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
(/.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)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 #s(literal -2 binary64)) (log.f64 im))))) (log.f64 #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(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 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(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 re re)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))))
#s(approx (/ (neg (log (sqrt (+ (* re re) (* im im))))) (log 1/10)) #s(approx (+ (* (/ -1/2 (log 1/10)) (* (/ re im) (/ re im))) (/ (neg (log im)) (log 1/10))) (/.f64 (*.f64 (*.f64 re re) #s(literal -1/2 binary64)) (*.f64 (*.f64 im im) (log.f64 #s(literal 1/10 binary64))))))

soundness1.0s (13.4%)

Memory
26.1MiB live, 882.7MiB allocated
Rules
14 804×lower-fma.f64
14 804×lower-fma.f32
7 936×lower-fma.f64
7 936×lower-fma.f32
7 724×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128711636
1396911222
0851110710
051285
074272
1259268
21529259
08421204
0120610808
1370310428
0830710068
01041
01741
14441
225141
3204641
0838725
032129
05196
114496
265396
3579096
0840195
02681676
17301632
222031630
357991618
083921506
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 322 to 215 computations (33.2% saved)

preprocess110.0ms (1.4%)

Memory
15.4MiB live, 248.3MiB allocated
Compiler

Compiled 546 to 428 computations (21.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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