math.log10 on complex, real part

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze66.0ms (1%)

Memory
-8.5MiB live, 73.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
18.8%18.7%81.2%0.1%0%0%0%5
34.4%34.3%65.6%0.1%0%0%0%6
54.7%54.6%45.3%0.1%0%0%0%7
64.8%64.8%35.1%0.1%0%0%0%8
76.2%76.1%23.8%0.1%0%0%0%9
81.8%81.8%18.1%0.1%0%0%0%10
87.8%87.7%12.2%0.1%0%0%0%11
90.8%90.7%9.2%0.1%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.0s (15.8%)

Memory
10.2MiB live, 1 078.2MiB allocated
Samples
692.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 485.0ms
ival-log: 235.0ms (48.4% of total)
ival-hypot: 162.0ms (33.4% of total)
ival-div: 73.0ms (15% of total)
ival-true: 7.0ms (1.4% of total)
exact: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain180.0ms (2.8%)

Memory
-5.1MiB live, 231.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-3(-1.147467116250012e-157 -7.989375492865341e-302)(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-rescue1160
(+.f64 (*.f64 re re) (*.f64 im im))overflow116
(*.f64 re re)overflow58
(*.f64 im im)overflow73
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue110
(+.f64 (*.f64 re re) (*.f64 im im))underflow11
(*.f64 re re)underflow64
(*.f64 im im)underflow55
Confusion
Predicted +Predicted -
+1273
-0126
Precision
1.0
Recall
0.9769230769230769
Confusion?
Predicted +Predicted MaybePredicted -
+12703
-00126
Precision?
1.0
Recall?
0.9769230769230769
Freqs
test
numberfreq
0129
1127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms512×0valid
Compiler

Compiled 110 to 34 computations (69.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-log: 27.0ms (51.7% of total)
ival-mult: 10.0ms (19.1% of total)
ival-hypot: 9.0ms (17.2% of total)
ival-div: 3.0ms (5.7% of total)
ival-add: 2.0ms (3.8% of total)
ival-true: 1.0ms (1.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.3%)

Memory
35.2MiB live, 35.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02462
15062
29662
317362
424062
526262
627362
728462
828762
928862
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
0.2MiB live, 0.2MiB 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
51.4%
(/.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)

simplify6.0ms (0.1%)

Memory
-30.1MiB live, 5.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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-diff1
(+.f64 (*.f64 re re) (*.f64 im im))
cost-diff4
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Iterations

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.6%)

Memory
22.3MiB live, 70.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.00390625
(+.f64 (*.f64 re re) (*.f64 im im))
accuracy0.5394325683790941
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
accuracy29.708761028556733
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
28.0ms256×0valid
Compiler

Compiled 49 to 12 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-log: 6.0ms (30.6% of total)
ival-mult: 6.0ms (30.6% of total)
ival-hypot: 4.0ms (20.4% of total)
ival-div: 2.0ms (10.2% of total)
ival-add: 1.0ms (5.1% 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
-15.0MiB live, 24.0MiB allocated
Counts
5 → 75
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.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))))
(log.f64 #s(literal 10 binary64))
Outputs
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 im 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))))))
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))))
(* -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))))))))
(* -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 (* 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)))))
(/ (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))))))
(* 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) (+ 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))))))))
(* -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))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
re
@inf
((sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10))
3.0ms
re
@0
((sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10))
3.0ms
im
@0
((sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10))
2.0ms
im
@inf
((sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10))
1.0ms
re
@-inf
((sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log 10))

simplify268.0ms (4.2%)

Memory
23.9MiB live, 211.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681521
17301477
222221475
358861433
081071336
Stop Event
iter limit
node limit
Counts
75 → 73
Calls
Call 1
Inputs
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 im 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))))))
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))))
(* -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))))))))
(* -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 (* 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)))))
(/ (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))))))
(* 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) (+ 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))))))))
(* -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))))))
Outputs
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 im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 im im (*.f64 re re))
(/ (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 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)) (/.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 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (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 re) im) im) #s(literal 1/2 binary64) (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) im) re) (/.f64 re im) (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)))
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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im #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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im #s(literal 1 binary64)))) re)
(pow re 2)
(*.f64 re re)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(fma.f64 im im (*.f64 re re))
(* -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 im (/.f64 im (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) re) 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)))) (+ (* 1/720 (/ (+ (* 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 im (/.f64 im (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) re) 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))) (/.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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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))))
(* -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))))))))
(fma.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) #s(literal -1 binary64))) re (*.f64 (*.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(* -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 im (/.f64 im (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) re) 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 1/720 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))) (fma.f64 (*.f64 im (/.f64 im (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (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 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) 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)))))
(+ 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)
(/ (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 im (/.f64 im (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) im) (/.f64 im (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) re) re)) (/.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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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 (/.f64 (/.f64 #s(literal 1/2 binary64) re) re) im) im (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)))
(* 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 (/.f64 #s(literal 1/2 binary64) im) im) (*.f64 re re) #s(literal 1 binary64)))) im)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(fma.f64 im im (*.f64 re re))
(* -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 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) 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)))) (+ (* 1/720 (/ (+ (* 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 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)) (/.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 (*.f64 re re) im) im) #s(literal 1/2 binary64) (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 (/.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 re) im) im) #s(literal 1/2 binary64) (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 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 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) (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 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 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 re 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 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 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 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal -1 binary64)))) 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 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) 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 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 #s(literal 10 binary64))) (fma.f64 (*.f64 re (/.f64 re (log.f64 #s(literal 10 binary64)))) (fma.f64 (*.f64 #s(literal -1/4 binary64) re) (/.f64 re (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (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))))
(-.f64 (*.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64)) (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 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64)) (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 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))

rewrite211.0ms (3.3%)

Memory
-13.2MiB live, 192.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01738
14438
225138
3205838
0842622
Stop Event
iter limit
node limit
iter limit
Counts
5 → 311
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.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))))
(log.f64 #s(literal 10 binary64))
Outputs
(*.f64 (sqrt.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))))) (sqrt.f64 (fma.f64 (*.f64 im im) (fma.f64 im im (*.f64 re re)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (sqrt.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))))) (sqrt.f64 (-.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 (sqrt.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))))) (sqrt.f64 (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 (sqrt.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))))) (hypot.f64 im re))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 im im (*.f64 re re)) (+.f64 im re))) (sqrt.f64 (+.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.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 -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 im im) (fma.f64 im im (*.f64 re re)) (pow.f64 re #s(literal 4 binary64)))))
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.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 (pow.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)))) #s(literal 1/2 binary64)) (sqrt.f64 (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 (fma.f64 im im (*.f64 re re)) (+.f64 im re)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 im re)))
(*.f64 (pow.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)))) #s(literal 1/2 binary64)) (hypot.f64 im re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 im re))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (*.f64 (+.f64 im re) (-.f64 im re)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 (+.f64 im re) (-.f64 im re)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 (pow.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (sqrt.f64 (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))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))) (pow.f64 (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)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/2 binary64)) (sqrt.f64 (-.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 -1/2 binary64)) (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/2 binary64)))
(*.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)))) (sqrt.f64 (/.f64 (fma.f64 im im (*.f64 re re)) (+.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 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (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 (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)))) (pow.f64 (/.f64 (fma.f64 im im (*.f64 re re)) (+.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 1/2 binary64)))
(*.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)))) (pow.f64 (*.f64 (fma.f64 im im (*.f64 re re)) (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))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 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 -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 im re))
(*.f64 (hypot.f64 im re) (sqrt.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (*.f64 (-.f64 re im) (+.f64 im re)))))
(*.f64 (hypot.f64 im re) (sqrt.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))))
(*.f64 (hypot.f64 im re) (pow.f64 (/.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (*.f64 (-.f64 re im) (+.f64 im re))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 im re) (pow.f64 (*.f64 (*.f64 (-.f64 re im) (+.f64 im re)) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 im re)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (hypot.f64 im re) #s(literal 1 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (neg.f64 (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 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (neg.f64 (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 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (+.f64 im re))) (sqrt.f64 (-.f64 re im)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 8 binary64)) (pow.f64 im #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1 binary64)))) (hypot.f64 (*.f64 im im) (*.f64 re re)))
(/.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)))))
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(fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.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 -1/2 binary64))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(-.f64 (log.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))) (log.f64 (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 (log.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (*.f64 (+.f64 im re) (-.f64 im re)))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 im re))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (log.f64 (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 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 im re)))))
(-.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (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 #s(literal 0 binary64) (neg.f64 (log.f64 (hypot.f64 im re))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 im re)) #s(literal -1/2 binary64))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.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 -1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(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))

eval89.0ms (1.4%)

Memory
-3.7MiB live, 115.1MiB allocated
Compiler

Compiled 10 416 to 1 778 computations (82.9% saved)

prune43.0ms (0.7%)

Memory
-11.6MiB live, 27.5MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New35713370
Fresh000
Picked101
Done000
Total35813371
Accuracy
100.0%
Counts
371 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.7%
(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))
98.7%
(/.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)))
98.9%
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
98.9%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
51.4%
(/.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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
99.2%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
51.2%
(/.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))))
98.6%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
73.2%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
Compiler

Compiled 316 to 272 computations (13.9% saved)

simplify18.0ms (0.3%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff0
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff1
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))
cost-diff3
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
cost-diff0
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
cost-diff4
(/.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)))
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
(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 #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)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029150
048142
163141
281141
3100141
4128141
5178141
6264141
7372141
8421141
9439141
10453141
11466141
12475141
13483141
14487141
0487141
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 #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 (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)
(/.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)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))
(log.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)))
(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 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 #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 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(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)
(/.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 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1 binary64)
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))
(log.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)))
(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 binary64)

localize173.0ms (2.7%)

Memory
-26.3MiB live, 174.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.046875
(log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))))
accuracy0.47855380861065216
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
accuracy0.8247606321262729
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.20703125
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
accuracy0.24609375
(/.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)))
accuracy0.74609375
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy0.0
(neg.f64 (log.f64 (hypot.f64 im re)))
accuracy0.0
(log.f64 (hypot.f64 im re))
accuracy0.4121475586106521
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.74609375
(log.f64 #s(literal 1/10 binary64))
accuracy0.0
(log.f64 im)
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.20255500130152349
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.4121475586106521
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy0.0
(hypot.f64 re im)
accuracy0.0
(log.f64 (hypot.f64 re im))
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.4121475586106521
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Samples
53.0ms191×0valid
18.0ms65×0invalid
Compiler

Compiled 241 to 24 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-log: 19.0ms (38.5% of total)
ival-hypot: 8.0ms (16.2% of total)
ival-div: 6.0ms (12.2% of total)
ival-pow: 6.0ms (12.2% of total)
const: 4.0ms (8.1% of total)
ival-exp: 2.0ms (4.1% of total)
ival-mult: 2.0ms (4.1% of total)
ival-neg: 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)

series153.0ms (2.4%)

Memory
5.6MiB live, 170.2MiB allocated
Counts
19 → 215
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 #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 (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)
(/.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)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))
(log.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)))
(log.f64 #s(literal 1/10 binary64))
Outputs
(/ (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))
(/ 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 (/ (log 10) (log im))))
(+ (* -1 (log (/ (log 10) (log im)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log im)))))
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Calls

6 calls:

TimeVariablePointExpression
72.0ms
im
@0
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25.0ms
im
@-inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
18.0ms
re
@-inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
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) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))
10.0ms
re
@inf
((/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (log 10) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (log (sqrt (+ (* re re) (* im im)))) (log im) (/ (neg (log (sqrt (+ (* im im) (* re re))))) (log 1/10)) (neg (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (exp (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1)) (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) (/ (log 10) (log (sqrt (+ (* im im) (* re re))))) (log 1/10))

simplify248.0ms (3.9%)

Memory
10.9MiB live, 278.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010648992
132438747
090878369
Stop Event
iter limit
node limit
Counts
215 → 213
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)))
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(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)))))
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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)))
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(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))
(* -1 (log (* -1 (/ (log 10) (log (/ -1 im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4)))))
(+ (* -1 (log (* -1 (/ (log 10) (log (/ -1 im)))))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* -1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))))))
(log (* -1 (/ (log 10) (log (/ -1 im)))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(+ (log (* -1 (/ (log 10) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10))) (+ (* 30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 720 (/ (* (log (/ -1 im)) (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im))))))) (log 10))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 24 (/ (* (log (/ -1 im)) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log 10)))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(* -1 (/ (log 10) (log (/ -1 im))))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
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) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (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 im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
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im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
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(* -1 (/ (log im) (log 1/10)))
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(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))))
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(* -1 (log im))
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(- (* -1/2 (/ (pow re 2) (pow im 2))) (log im))
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(- (* (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))
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(/ 1 (log im))
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(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
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(+ (* (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)))
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(* -1 (log (/ (log 10) (log im))))
(neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))
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(+ (* -1 (log (/ (log 10) (log im)))) (* (pow re 2) (+ (* -1/24 (* (pow re 2) (- (* -24 (/ (* (log im) (+ (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 2)))) (* -1/4 (/ (log 10) (* (pow im 4) (pow (log im) 3)))))) (log 10))) (* 3 (/ 1 (* (pow im 4) (pow (log im) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log im)))))))
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(log (/ (log 10) (log im)))
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(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 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 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (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 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))

rewrite260.0ms (4.1%)

Memory
-5.5MiB live, 232.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029114
048105
1136104
2643103
35414103
08156103
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 351
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 #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 (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)
(/.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)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64))
(log.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)))
(log.f64 #s(literal 1/10 binary64))
Outputs
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(*.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (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 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 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 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))
(*.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 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (pow.f64 (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 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (/.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 im re))) (pow.f64 (log.f64 #s(literal 1/10 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 (*.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 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (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 -1 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 (hypot.f64 im re))) (log.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 (hypot.f64 im re))) (log.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (log.f64 (hypot.f64 im re)))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 im re)))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (log.f64 (hypot.f64 im re)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (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 im re)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))) (log.f64 (hypot.f64 im re)))
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(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 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 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))))
(pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 (hypot.f64 im re))) (log.f64 (log.f64 #s(literal 10 binary64)))))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (log.f64 #s(literal 1/10 binary64))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 im re)))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (*.f64 re re))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(/.f64 (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))) (exp.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 im re))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (log.f64 (hypot.f64 im re))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 im re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))
(neg.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (hypot.f64 im re)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 im re))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re))))
(exp.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (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 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 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 1/10 binary64)) (log.f64 #s(literal 1/10 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))

eval240.0ms (3.8%)

Memory
12.7MiB live, 193.7MiB allocated
Compiler

Compiled 27 282 to 3 877 computations (85.8% saved)

prune51.0ms (0.8%)

Memory
-4.3MiB live, 67.5MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1 101111 112
Fresh808
Picked235
Done000
Total1 111141 125
Accuracy
100.0%
Counts
1 125 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.4%
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
98.1%
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
98.9%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
99.1%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
51.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64)))
98.9%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.2%
(/.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)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.4%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.9%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
72.9%
(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))))
Compiler

Compiled 380 to 327 computations (13.9% saved)

simplify40.0ms (0.6%)

Memory
-33.5MiB live, 16.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (hypot.f64 im re))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
cost-diff3
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
cost-diff0
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
cost-diff0
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
cost-diff0
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
cost-diff0
(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
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))
cost-diff0
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
cost-diff2
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038224
057190
171188
295184
3124184
4175184
5234184
6338184
7418184
8486184
9528184
10552184
11574184
12593184
13607184
14613184
15630184
16661184
17692184
18748184
19756184
20761184
21767184
22769184
0769184
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/4 binary64)
#s(literal 4 binary64)
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal -1 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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1 binary64)
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
#s(literal 1 binary64)
(log.f64 im)
im
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
#s(literal -1 binary64)
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
Outputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1/4 binary64)
#s(literal 4 binary64)
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 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 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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(log.f64 im)
im
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal -1 binary64)
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
#s(literal 1 binary64)
(log.f64 im)
im
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (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))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(neg.f64 (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)))
#s(literal -1 binary64)
(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)

localize229.0ms (3.6%)

Memory
22.0MiB live, 178.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.265625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
accuracy0.28125
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy0.5394325683790941
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy0.28125
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy0.328125
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
accuracy0.3817785995923464
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy1.0
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.29296875
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy0.37831879360914267
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.6113663086106522
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy0.0
(log.f64 im)
accuracy0.37831879360914267
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.5394325683790941
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy0.0
(log.f64 (hypot.f64 im re))
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.28125
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
accuracy0.328125
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
Samples
113.0ms256×0valid
Compiler

Compiled 253 to 31 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-hypot: 49.0ms (51.9% of total)
ival-log: 14.0ms (14.8% of total)
ival-div: 13.0ms (13.8% of total)
ival-pow: 12.0ms (12.7% of total)
const: 4.0ms (4.2% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series42.0ms (0.7%)

Memory
17.5MiB live, 55.9MiB allocated
Counts
20 → 188
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))
(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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 im))
Outputs
(/ (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)))
(* -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))))))
(/ (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))))
(+ (* -1 (log im)) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* -1 (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))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(* -1 (/ (log (/ 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)))))))
(/ (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 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)))))))
(+ (log (/ 1 re)) (* -1/2 (/ (pow im 2) (pow re 2))))
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4)))))
(+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))
(/ 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)))))))
(/ (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 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)))))))
(+ (log (/ -1 re)) (* -1/2 (/ (pow im 2) (pow re 2))))
(+ (log (/ -1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4)))))
(+ (log (/ -1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))
(/ 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)))))))
(/ (log re) (log 10))
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(+ (log (/ -1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))
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(/ 1 (log (/ -1 im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
im
@0
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (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) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 1/10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (/ 1 (log im)))
10.0ms
im
@inf
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (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) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 1/10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (/ 1 (log im)))
9.0ms
im
@-inf
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (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) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 1/10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (/ 1 (log im)))
3.0ms
re
@inf
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (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) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 1/10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (/ 1 (log im)))
2.0ms
re
@-inf
((/ (pow (pow (log 10) -1/4) 4) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (pow (log 10) -1/4) 4) (pow (log 10) -1/4) (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) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1)) (pow (log 10) -1) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ 1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 1/10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (pow (log (sqrt (+ (* im im) (* re re)))) -1) (log 1/10) (/ 1 (log im)))

simplify282.0ms (4.5%)

Memory
-17.5MiB live, 173.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08916292
126936102
083255852
Stop Event
iter limit
node limit
Counts
188 → 188
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)))
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Outputs
(/ (log im) (log 10))
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(/ (log 10) (log im))
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(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 re im) (/.f64 re im)) #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))))))
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (/ (log 10) (log (/ -1 im))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 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 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 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) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 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 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 1/2 binary64) (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 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 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 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(/ -1 (log (/ -1 im)))
(/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))
(-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))
(-.f64 (/.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 -1/8 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))))
(+ (log (/ -1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/4 (/ (pow re 4) (pow im 4))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))))
(/ 1 (log (/ -1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2)))) (pow im 4))) (/ 1 (log (/ -1 im)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 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) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow (log (/ -1 im)) 2))) (+ (* 1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))))) (log (/ -1 im)))))) (pow im 6))) (/ 1 (log (/ -1 im)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/720 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/8 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)))) (fma.f64 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite266.0ms (4.2%)

Memory
4.8MiB live, 173.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038172
057140
1181129
2858129
36005129
08401129
Stop Event
iter limit
node limit
iter limit
Counts
20 → 792
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))
(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 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
#s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))
(log.f64 #s(literal 1/10 binary64))
(/.f64 #s(literal 1 binary64) (log.f64 im))
Outputs
(*.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (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 (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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 re im))) #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 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (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) (neg.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im)))) (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
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eval195.0ms (3.1%)

Memory
8.2MiB live, 161.4MiB allocated
Compiler

Compiled 26 196 to 3 235 computations (87.7% saved)

prune88.0ms (1.4%)

Memory
-30.8MiB live, 59.0MiB allocated
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New9909999
Fresh336
Picked325
Done033
Total996171 013
Accuracy
100.0%
Counts
1 013 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
99.1%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
98.5%
(/.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))))
51.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
98.3%
(/.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))))
98.9%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.2%
(/.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)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.5%
(/.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 10 binary64))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
98.4%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.9%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
73.0%
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
Compiler

Compiled 547 to 414 computations (24.3% saved)

simplify98.0ms (1.5%)

Memory
5.4MiB live, 42.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
cost-diff2
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
cost-diff4
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
cost-diff0
(fma.f64 re re (*.f64 im im))
cost-diff0
(log.f64 (fma.f64 re re (*.f64 im im)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 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-diff1
(/.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 (hypot.f64 im re))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
cost-diff4
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036262
059210
175200
299193
3135193
4214193
5378193
6597193
7864193
81174193
91431193
101600193
111934193
122107193
132117193
142129193
152139193
162141193
02141193
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
#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 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
#s(literal -1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 im))
(log.f64 im)
im
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.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)
Outputs
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(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)))
(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 10 binary64))
#s(literal 10 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(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 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
#s(literal 1 binary64)
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(log.f64 im)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (log.f64 im))
(log.f64 im)
im
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.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)

localize118.0ms (1.9%)

Memory
13.1MiB live, 168.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
accuracy0.20255500130152349
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.4121475586106521
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy0.8247606321262729
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
accuracy0.20255500130152349
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
accuracy0.20703125
(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy0.234375
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
accuracy0.47855380861065216
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
accuracy0.0
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
accuracy0.4121475586106521
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
accuracy0.74609375
(log.f64 #s(literal 1/10 binary64))
accuracy28.09125312474308
(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy0.20255500130152349
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
accuracy0.234375
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
accuracy0.47855380861065216
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
accuracy0.74609375
(log.f64 #s(literal 1/10 binary64))
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.19140625
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
accuracy0.20703125
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
accuracy0.4121475586106521
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
Samples
72.0ms191×0valid
22.0ms65×0invalid
Compiler

Compiled 261 to 34 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 31.0ms (41.1% of total)
ival-log: 22.0ms (29.1% of total)
ival-hypot: 8.0ms (10.6% of total)
ival-mult: 5.0ms (6.6% of total)
const: 5.0ms (6.6% of total)
ival-exp: 2.0ms (2.6% of total)
ival-add: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series63.0ms (1%)

Memory
12.2MiB live, 130.5MiB allocated
Counts
21 → 235
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(/.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))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(log.f64 #s(literal 10 binary64))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
Outputs
(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)))
(/ -1 (log im))
(- (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log im) 2)))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(- (* (pow re 2) (+ (* (pow re 2) (- (* (pow re 2) (- (+ (* 1/8 (/ 1 (* (pow im 6) (pow (log im) 3)))) (* 1/6 (/ 1 (* (pow im 6) (pow (log im) 2))))) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))) (* (pow im 2) (log im)))))) (+ (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log im) 3))))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log im) 2)))))) (/ 1 (log im)))
(* -1 (/ (log im) (log 1/10)))
(+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (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)))
(* -1/2 (/ (log (pow im 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
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(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
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(/ 1 (log (/ -1 im)))
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(+ (* -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))))
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(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
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(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4)))))
(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -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))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
Calls

6 calls:

TimeVariablePointExpression
17.0ms
im
@-inf
((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ -1 (/ -1 (log im))) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (exp (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))) (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/ -1 (log im)) (log (sqrt (+ (* re re) (* im im)))))
14.0ms
im
@inf
((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ -1 (/ -1 (log im))) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (exp (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))) (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/ -1 (log im)) (log (sqrt (+ (* re re) (* im im)))))
11.0ms
im
@0
((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ -1 (/ -1 (log im))) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (exp (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))) (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/ -1 (log im)) (log (sqrt (+ (* re re) (* im im)))))
6.0ms
re
@-inf
((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ -1 (/ -1 (log im))) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (exp (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))) (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/ -1 (log im)) (log (sqrt (+ (* re re) (* im im)))))
5.0ms
re
@inf
((/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (/ (/ -1 (/ -1 (log (sqrt (+ (* im im) (* re re)))))) (log 10)) (/ -1 (log (sqrt (+ (* im im) (* re re))))) (log (sqrt (+ (* im im) (* re re)))) (/ -1 (/ (log 1/10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 1/10) (log (sqrt (+ (* re re) (* im im))))) (log 1/10) (log (sqrt (+ (* re re) (* im im)))) (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10)) (* -1/2 (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im))) (+ (* re re) (* im im)) (/ -1 (/ -1 (log im))) (/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (log 10) (exp (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)))) (log (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (log 10)) (/ -1 (log im)) (log (sqrt (+ (* re re) (* im im)))))

simplify186.0ms (2.9%)

Memory
21.8MiB live, 212.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012058017
136627807
081897472
Stop Event
iter limit
node limit
Counts
235 → 235
Calls
Call 1
Inputs
(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)))
(/ -1 (log im))
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Outputs
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
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(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 4 binary64))))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (*.f64 im im)))) (*.f64 re re) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/ -1 (log im))
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(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (+ (* -1/6 (/ (pow re 6) (pow im 6))) (* 1/4 (/ (pow re 4) (pow im 4))))))
(+.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 (*.f64 re re) im) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (*.f64 (/.f64 re im) (/.f64 re im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (/ (log 10) (log (/ -1 im))))
(/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3)))) (pow im 4)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 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 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(- (+ (* -1 (/ (log 10) (log (/ -1 im)))) (* -1 (/ (+ (* -1/8 (/ (* (pow re 6) (log 10)) (pow (log (/ -1 im)) 3))) (+ (* 1/720 (/ (* (log 10) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (* (pow re 4) (log 10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6)))) (+ (* -1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (* (pow re 4) (log 10)) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (* 1/2 (/ (* (pow re 2) (log 10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))))
(-.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 re re) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 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 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/720 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal -1/8 binary64)))) (neg.f64 (pow.f64 im #s(literal 6 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) im) (/.f64 (*.f64 re re) im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(log (* -1 (/ (log (/ -1 im)) (log 10))))
(log.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4)))))
(fma.f64 (/.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)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im im)) (/.f64 (*.f64 re re) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64)))))))
(+ (log (* -1 (/ (log (/ -1 im)) (log 10)))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))) (+ (* 1/720 (/ (+ (* -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))) (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))))))
(+.f64 (fma.f64 (/.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))))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 (/.f64 re im) (/.f64 re im)) (*.f64 (/.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)))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64)))) (log.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 #s(literal 10 binary64))))))
(/ -1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))

rewrite149.0ms (2.4%)

Memory
-16.7MiB live, 178.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036216
059161
1172145
2870141
35149141
08122141
Stop Event
iter limit
node limit
iter limit
Counts
21 → 956
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))
(log.f64 (hypot.f64 im re))
(/.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))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (fma.f64 re re (*.f64 im im)))
(fma.f64 re re (*.f64 im im))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))))
(log.f64 #s(literal 10 binary64))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im))))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/4 binary64) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 (exp.f64 #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal -1/2 binary64))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (exp.f64 (log.f64 (fma.f64 re re (*.f64 im im))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (log.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 (fma.f64 re re (*.f64 im im)))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 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 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (hypot.f64 re im)))))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 re im))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im))) (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))))
(neg.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 re im))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
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(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im))))
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(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im))) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 re im))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 (pow.f64 (*.f64 (-.f64 re im) (+.f64 re im)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (pow.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 im re) (+.f64 re im))))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 re im) (+.f64 re im))))))
(-.f64 (log.f64 (neg.f64 (hypot.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))) (log.f64 (neg.f64 (sqrt.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 im re) (+.f64 re im))))))
(-.f64 (log.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (log.f64 (sqrt.f64 (neg.f64 (*.f64 (-.f64 re im) (+.f64 re im))))))
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(+.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))
(+.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 0 binary64))
(log.f64 (/.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 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 (neg.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)) (pow.f64 (neg.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)) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(*.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 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 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 -1 binary64)))
(*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64))))))
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (*.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (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 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))) (exp.f64 (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 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))))
(/.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 (neg.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))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(neg.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(*.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (log.f64 im)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 im) #s(literal -1 binary64)))
(pow.f64 (*.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 im))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (neg.f64 (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 im)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 1 binary64))
(/.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (log.f64 im))
(neg.f64 (pow.f64 (log.f64 im) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 im))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 (log.f64 im))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 im))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1/2 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))
(*.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(pow.f64 (*.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal -1 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))

eval116.0ms (1.8%)

Memory
7.2MiB live, 198.7MiB allocated
Compiler

Compiled 28 100 to 3 873 computations (86.2% saved)

prune58.0ms (0.9%)

Memory
7.4MiB live, 99.0MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New9583961
Fresh167
Picked235
Done055
Total96117978
Accuracy
100.0%
Counts
978 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.3%
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
98.6%
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
98.5%
(/.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))))
51.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
98.7%
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 binary64)))
98.3%
(/.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))))
98.9%
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
98.4%
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
99.2%
(/.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)))
98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
98.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
98.4%
(/.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 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
98.9%
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
73.0%
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
Compiler

Compiled 923 to 388 computations (58% saved)

regimes111.0ms (1.8%)

Memory
-14.8MiB live, 141.8MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #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 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 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 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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))))
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 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))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.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)))
(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 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (hypot.f64 im re)))))
Outputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
Calls

8 calls:

36.0ms
re
13.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
11.0ms
(*.f64 im im)
11.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
10.0ms
im
Results
AccuracySegmentsBranch
99.4%1re
99.4%1im
99.4%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.4%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.4%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.4%1(+.f64 (*.f64 re re) (*.f64 im im))
99.4%1(*.f64 re re)
99.4%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes98.0ms (1.6%)

Memory
14.6MiB live, 131.6MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #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 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 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 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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)) #s(approx (pow (log (sqrt (+ (* im im) (* re re)))) -1) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (hypot.f64 im re)))) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (log.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))))
(exp.f64 #s(approx (* (log (/ (log 10) (log (sqrt (+ (* im im) (* re re)))))) -1) (neg.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))))))
(pow.f64 (pow.f64 (/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 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))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))))
(/.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)))
(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 im re)) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal -1 binary64)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

27.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
13.0ms
im
12.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
9.0ms
re
9.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
Results
AccuracySegmentsBranch
99.2%1re
99.2%1im
99.2%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.2%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.2%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.2%1(+.f64 (*.f64 re re) (*.f64 im im))
99.2%1(*.f64 re re)
99.2%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes53.0ms (0.8%)

Memory
-6.7MiB live, 69.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #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 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 binary64)))
Outputs
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 binary64)))
Calls

8 calls:

19.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
6.0ms
(*.f64 re re)
5.0ms
re
5.0ms
im
4.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
Results
AccuracySegmentsBranch
98.7%1re
98.7%1im
98.7%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
98.7%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
98.7%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
98.7%1(+.f64 (*.f64 re re) (*.f64 im im))
98.7%1(*.f64 re re)
98.7%1(*.f64 im im)
Compiler

Compiled 44 to 38 computations (13.6% saved)

regimes46.0ms (0.7%)

Memory
24.6MiB live, 63.6MiB allocated
Accuracy

Total -30.8b remaining (-3409.2%)

Threshold costs -30.8b (-3409.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #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 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (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 (fma.f64 re re (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 (fma.f64 im im (*.f64 re re))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (log (sqrt (+ (* im im) (* re re))))) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(approx (log (sqrt (+ (* re re) (* im im)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))))))
Outputs
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

15.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
4.0ms
im
4.0ms
re
4.0ms
(log.f64 (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
98.6%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)

simplify74.0ms (1.2%)

Memory
-21.3MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03661
14361
25161
35961
46861
57561
69461
719561
8363261
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal -1 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (fma.f64 (/.f64 re im) (/.f64 re im) (*.f64 (neg.f64 (log.f64 im)) #s(literal -2 binary64))))) (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)))

soundness705.0ms (11.1%)

Memory
7.6MiB live, 696.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012058017
136627807
081897472
01038
01738
14438
225138
3205838
0842622
029114
048105
1136104
2643103
35414103
08156103
02681521
17301477
222221475
358861433
081071336
038172
057140
1181129
2858129
36005129
08401129
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 227 to 147 computations (35.2% saved)

preprocess242.0ms (3.8%)

Memory
-25.0MiB live, 135.6MiB allocated
Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 224 to 170 computations (24.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...