math.log10 on complex, real part

Time bar (total: 7.7s)

analyze106.0ms (1.4%)

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 15 to 11 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-log: 15.0ms (31.1% of total)
ival-mult: 11.0ms (22.8% of total)
ival-sqrt: 11.0ms (22.8% of total)
ival-div: 5.0ms (10.4% of total)
ival-add: 4.0ms (8.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (16.9%)

Results
1.0s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 765.0ms
ival-log: 292.0ms (38.2% of total)
ival-mult: 251.0ms (32.8% of total)
ival-div: 92.0ms (12% of total)
ival-sqrt: 72.0ms (9.4% of total)
ival-add: 41.0ms (5.4% of total)
const: 13.0ms (1.7% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess58.0ms (0.8%)

Algorithm
egg-herbie
Rules
184×fmsub-define
160×fnmadd-define
148×fnmsub-define
132×sum3-define
118×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02844
16544
212044
324744
446444
563544
672044
773844
877344
977544
1077644
0107
1157
2177
0177
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Call 2
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10))
(/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10))
(neg (/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10)))
(neg (/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10)))
(/ (log (sqrt (+ (* im im) (* re re)))) (log 10))
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/ (log (hypot re im)) (log 10))
(/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10))
(/ (log (hypot re im)) (log 10))
(/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10))
(/ (log (hypot re im)) (log 10))
(neg (/ (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) (log 10)))
(/ (log (hypot re im)) (neg (log 10)))
(neg (/ (log (sqrt (+ (* re re) (* (neg im) (neg im))))) (log 10)))
(/ (log (hypot re im)) (neg (log 10)))
(/ (log (sqrt (+ (* im im) (* re re)))) (log 10))
(/ (log (hypot re im)) (log 10))
Symmetry

(abs re)

(abs im)

(sort re im)

explain109.0ms (1.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1130-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-#s(literal 10 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
00-0-(log.f64 #s(literal 10 binary64))
Results
64.0ms512×0valid
Compiler

Compiled 114 to 32 computations (71.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 11.0ms (28.6% of total)
ival-mult: 11.0ms (28.6% of total)
ival-add: 7.0ms (18.2% of total)
ival-div: 4.0ms (10.4% of total)
ival-sqrt: 4.0ms (10.4% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
cost-diff0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Rules
fma-lowering-fma.f32
fma-define
+-lowering-+.f64
hypot-lowering-hypot.f64
log-lowering-log.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11519
21719
01719
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(log 10)
10
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)

localize41.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 re im)
accuracy100.0%
(log.f64 (hypot.f64 re im))
accuracy100.0%
(log.f64 #s(literal 10 binary64))
accuracy99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Results
30.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
compiled-spec: 9.0ms (37.2% of total)
ival-log: 6.0ms (24.8% of total)
ival-mult: 5.0ms (20.7% of total)
ival-div: 2.0ms (8.3% of total)
ival-sqrt: 2.0ms (8.3% of total)
ival-add: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (log 10))>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log 10)>
Outputs
#<alt (/ (log im) (log 10))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))>
#<alt (* -1 (/ (log (/ 1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))>
#<alt (/ (log re) (log 10))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))) (/ (log re) (log 10)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log 10)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (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))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -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))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ 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)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
Calls

18 calls:

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

rewrite289.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
2618×*-lowering-*.f32
2618×*-lowering-*.f64
2306×fma-lowering-fma.f32
2306×fma-lowering-fma.f64
1736×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
14116
227316
3254216
0869516
Stop Event
iter limit
node limit
Counts
4 → 127
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log 10)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
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(hypot.f64 im re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
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(log.f64 #s(literal 10 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
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(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))

simplify227.0ms (3%)

Algorithm
egg-herbie
Rules
5914×*-lowering-*.f32
5914×*-lowering-*.f64
2228×+-lowering-+.f64
2228×+-lowering-+.f32
1508×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02631436
17941252
226761188
083831188
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ (log im) (log 10))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))) (/ (log im) (log 10)))
(* -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)) (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 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)))
(* -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)) (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)))))))
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log 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))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (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)))))
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)))))))
(* -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))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
Outputs
(/ (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)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.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)))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.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)))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 10 binary64))))) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 im #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 10 binary64))) (*.f64 im (*.f64 im (*.f64 im im)))))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(* -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)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re 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))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))))
(+ (* -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)))))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))) (+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 re #s(literal 6 binary64))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(-.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(-.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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)))))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 #s(literal 10 binary64)))))
(/ (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)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re 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)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (*.f64 (*.f64 im im) (+.f64 (/.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))))))
(+ (* (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)))
(+.f64 (/.f64 (log.f64 re) (log.f64 #s(literal 10 binary64))) (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (log.f64 #s(literal 10 binary64)) re))) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (/.f64 im (pow.f64 re #s(literal 6 binary64))))) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 10 binary64))))))))
(* -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)))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.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))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.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)))))))
(+.f64 (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))) (+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64)))))
(* -1 (/ (log (/ -1 im)) (log 10)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10))))))
(-.f64 (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (log 10))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log 10)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 10)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))))
(+.f64 (*.f64 re (*.f64 re (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 10 binary64)))))))) (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal 10 binary64)))))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (log.f64 im) (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im 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))))))
(+.f64 (log.f64 im) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (*.f64 im im)))))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (log.f64 re) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re 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))))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (+.f64 (log.f64 re) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))))
(* -1 (log (/ -1 re)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(-.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (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)))))
(-.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (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))))))
(+.f64 (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(log re)
(log.f64 re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+.f64 (log.f64 re) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/4 binary64))) (*.f64 re (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re 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))))))
(+.f64 (log.f64 re) (*.f64 im (*.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im (*.f64 im (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 im (/.f64 im (pow.f64 re #s(literal 6 binary64))))) (/.f64 #s(literal -1/4 binary64) (*.f64 re (*.f64 re (*.f64 re re)))))))))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (log.f64 im) (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im 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 (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))) (+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))))
(* -1 (log (/ -1 im)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im) (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)))))
(-.f64 (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))) (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 (*.f64 re (*.f64 re (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+.f64 im (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/8 binary64)) (*.f64 im (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) 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)))))
(+.f64 im (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 (*.f64 re re) (+.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 im im))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/8 binary64)))) (*.f64 re (*.f64 re (*.f64 re 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 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/8 binary64)))) (*.f64 re (*.f64 re (*.f64 re re)))) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 re)
(-.f64 #s(literal 0 binary64) re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(-.f64 (*.f64 (/.f64 (*.f64 re (*.f64 im im)) (*.f64 re re)) #s(literal -1/2 binary64)) re)
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(*.f64 re (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (/.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/8 binary64)))) (*.f64 re (*.f64 re (*.f64 re re))))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im (*.f64 im #s(literal -1/8 binary64)))) (*.f64 re (*.f64 re (*.f64 re re)))) (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) (*.f64 re re)) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))) re))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+.f64 re (*.f64 im (*.f64 im (+.f64 (/.f64 (*.f64 im (*.f64 im #s(literal -1/8 binary64))) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1/2 binary64) 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)))))
(+.f64 re (*.f64 (*.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 (*.f64 im im) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 re re)) re))))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(*.f64 im (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)) (/.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im 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 im (+.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(* -1 im)
(-.f64 #s(literal 0 binary64) im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 (*.f64 (/.f64 (*.f64 im (*.f64 re re)) (*.f64 im im)) #s(literal -1/2 binary64)) im)
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)) (/.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im im))))) (-.f64 #s(literal 0 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 (+.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/8 binary64)))) (*.f64 im (*.f64 im (*.f64 im im)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 re re) im)) im)) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) im))

eval25.0ms (0.3%)

Compiler

Compiled 4759 to 705 computations (85.2% saved)

prune27.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1936199
Fresh000
Picked011
Done000
Total1937200
Accuracy
99.8%
Counts
200 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.2%
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
56.6%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
56.7%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
32.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1 binary64)))
Compiler

Compiled 179 to 139 computations (22.3% saved)

simplify58.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
cost-diff128
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
cost-diff0
(+.f64 (*.f64 re re) (*.f64 im im))
cost-diff0
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
cost-diff-64
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
Rules
688×fma-define
380×sum3-define
314×fmsub-define
276×fma-lowering-fma.f32
276×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025180
148180
284178
3129178
4207178
5294178
6401178
7508178
8743178
9966178
101231178
111441178
121656178
131678178
141687178
151695178
161742178
171743178
01743178
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
re
im
(neg (log 1/10))
(log 1/10)
1/10
(/ (log im) (log 10))
(log im)
im
(log 10)
10
(/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10))
(* -1/2 (log (+ (* re re) (* im im))))
-1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(log 1/10)
1/10
(/ -1 (/ (log 10) (* -1/2 (log (+ (* re re) (* im im))))))
-1
(/ (log 10) (* -1/2 (log (+ (* re re) (* im im)))))
(log 10)
10
(* -1/2 (log (+ (* re re) (* im im))))
-1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
1
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(log 1/10)
1/10
(* -1/2 (log (+ (* re re) (* im im))))
-1/2
(log (+ (* re re) (* im im)))
(+ (* re re) (* im im))
(* re re)
re
(* im im)
im
Outputs
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(log (sqrt (+ (* re re) (* im im))))
(log.f64 (hypot.f64 re im))
(sqrt (+ (* re re) (* im im)))
(hypot.f64 re im)
re
im
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(log im)
(log.f64 im)
im
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10))
(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(* -1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
-1/2
#s(literal -1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ -1 (/ (log 10) (* -1/2 (log (+ (* re re) (* im im))))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(/ (log 10) (* -1/2 (log (+ (* re re) (* im im)))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(* -1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
-1/2
#s(literal -1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
1
#s(literal 1 binary64)
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(* -1/2 (log (+ (* re re) (* im im))))
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
-1/2
#s(literal -1/2 binary64)
(log (+ (* re re) (* im im)))
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+ (* re re) (* im im))
(+.f64 (*.f64 re re) (*.f64 im im))
(* re re)
(*.f64 re re)
re
(* im im)
(*.f64 im im)
im

localize202.0ms (2.6%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
accuracy99.1%
(/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy57.2%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
accuracy100.0%
(log.f64 #s(literal 10 binary64))
accuracy99.5%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
accuracy99.1%
(/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
accuracy57.2%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
accuracy99.1%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy57.2%
(log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 #s(literal 10 binary64))
accuracy99.1%
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
accuracy100.0%
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy100.0%
(log.f64 (hypot.f64 re im))
accuracy99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
Results
143.0ms256×0valid
Compiler

Compiled 219 to 26 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-log: 15.0ms (26.1% of total)
ival-div: 12.0ms (20.8% of total)
ival-mult: 10.0ms (17.4% of total)
compiled-spec: 9.0ms (15.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.9% of total)
ival-add: 3.0ms (5.2% of total)
ival-sqrt: 2.0ms (3.5% of total)
const: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series111.0ms (1.5%)

Counts
16 → 288
Calls
Call 1
Inputs
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (log 1/10)>
#<alt (/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))>
#<alt (/ (log im) (log 10))>
#<alt (log im)>
#<alt (log 10)>
#<alt (/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10))>
#<alt (* -1/2 (log (+ (* re re) (* im im))))>
#<alt (log (+ (* re re) (* im im)))>
#<alt (+ (* re re) (* im im))>
#<alt (/ -1 (/ (log 10) (* -1/2 (log (+ (* re re) (* im im))))))>
#<alt (/ (log 10) (* -1/2 (log (+ (* re re) (* im im)))))>
#<alt (/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))>
#<alt (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))>
#<alt (neg (log 1/10))>
Outputs
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (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))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -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))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ 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)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (+ (* -1 (/ (log im) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (/ (log (/ -1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* -1 (/ (log re) (log 1/10)))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))>
#<alt (/ (log (/ -1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1/2 (/ (log (pow im 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))>
#<alt (+ (* -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))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))>
#<alt (/ (log (/ -1 re)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))>
#<alt (+ (* -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))))>
#<alt (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))>
#<alt (* -1/2 (/ (log (pow re 2)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))>
#<alt (/ (log (/ -1 im)) (log 1/10))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))>
#<alt (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))>
#<alt (* -1/2 (log (pow im 2)))>
#<alt (+ (* -1/2 (log (pow im 2))) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (log (/ 1 re))>
#<alt (+ (log (/ 1 re)) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4)))))>
#<alt (+ (log (/ 1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))>
#<alt (log (/ -1 re))>
#<alt (+ (log (/ -1 re)) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log (/ -1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/4 (/ (pow im 4) (pow re 4)))))>
#<alt (+ (log (/ -1 re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))>
#<alt (* -1/2 (log (pow re 2)))>
#<alt (+ (* -1/2 (log (pow re 2))) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1/2 (log (pow re 2))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* -1/2 (log (pow re 2))) (* (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))))))>
#<alt (log (/ 1 im))>
#<alt (+ (log (/ 1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log (/ 1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4)))))>
#<alt (+ (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))))))>
#<alt (log (/ -1 im))>
#<alt (+ (log (/ -1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4)))))>
#<alt (+ (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))))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -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)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -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)))))>
#<alt (pow im 2)>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))>
#<alt (pow re 2)>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (+ (pow im 2) (pow re 2))>
#<alt (pow im 2)>
#<alt (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))>
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#<alt (+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ (log 1/10) (log (/ -1 im))))>
#<alt (+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (/ (log 1/10) (log (/ -1 im)))))>
#<alt (+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 2 (/ (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (/ (log 1/10) (log (/ -1 im))))))>
Calls

72 calls:

TimeVariablePointExpression
46.0ms
im
@0
(/ (log im) (log 10))
13.0ms
im
@-inf
(/ (log im) (log 10))
12.0ms
im
@inf
(/ (log im) (log 10))
5.0ms
re
@inf
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
4.0ms
im
@0
(/ (* -1/2 (log (+ (* re re) (* im im)))) (log 1/10))

rewrite356.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
2558×fma-lowering-fma.f32
2558×fma-lowering-fma.f64
2166×*-lowering-*.f32
2166×*-lowering-*.f64
1806×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02589
110581
260578
3446478
0813478
Stop Event
iter limit
node limit
Counts
16 → 819
Calls
Call 1
Inputs
(log (sqrt (+ (* re re) (* im im))))
(sqrt (+ (* re re) (* im im)))
(log 1/10)
(/ (log (sqrt (+ (* re re) (* im im)))) (neg (log 1/10)))
(/ (log im) (log 10))
(log im)
(log 10)
(/ (* -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 (/ (log 10) (* -1/2 (log (+ (* re re) (* im im))))))
(/ (log 10) (* -1/2 (log (+ (* re re) (* im im)))))
(/ 1 (/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im))))))
(/ (log 1/10) (* -1/2 (log (+ (* re re) (* im im)))))
(neg (log 1/10))
Outputs
(log.f64 (hypot.f64 re im))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 im im))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(-.f64 (log.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1 binary64)))
(*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(hypot.f64 re im)
(hypot.f64 im re)
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))) (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))))
(/.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re))) (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (*.f64 re re))))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (neg.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re)))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im)))))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))))
(pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im)))))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) (*.f64 im im))))) #s(literal -1/2 binary64))
(*.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
(*.f64 (hypot.f64 (*.f64 im (*.f64 im im)) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))))
(*.f64 (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(log.f64 #s(literal 1/10 binary64))
(+.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(neg.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (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))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (/.f64 (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) (/.f64 (log.f64 (-.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
(/.f64 (/.f64 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 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))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))

simplify356.0ms (4.7%)

Algorithm
egg-herbie
Rules
7360×*-lowering-*.f32
7360×*-lowering-*.f64
4768×+-lowering-+.f64
4768×+-lowering-+.f32
1422×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08617240
128936492
082976492
Stop Event
iter limit
node limit
Counts
288 → 288
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))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(log 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))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
im
(+ im (* 1/2 (/ (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)))))
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)))))))
(* -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))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -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 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 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)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1 (/ (log re) (log 1/10)))
(+ (* -1 (/ (log re) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1 (/ (log re) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 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)))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow im 2)) (log 1/10))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (* (pow im 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow im 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(/ (log (/ 1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ 1 re)) (log 1/10)))))
(/ (log (/ -1 re)) (log 1/10))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10))))
(+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (+ (* -1/6 (/ (pow im 6) (* (pow re 6) (log 1/10)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (log 1/10)))) (/ (log (/ -1 re)) (log 1/10)))))
(* -1/2 (/ (log (pow re 2)) (log 1/10)))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(+ (* -1/2 (/ (log (pow re 2)) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))
(/ (log (/ 1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ 1 im)) (log 1/10)))))
(/ (log (/ -1 im)) (log 1/10))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10))))
(+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (+ (* -1/6 (/ (pow re 6) (* (pow im 6) (log 1/10)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (log 1/10)))) (/ (log (/ -1 im)) (log 1/10)))))
(* -1/2 (log (pow im 2)))
(+ (* -1/2 (log (pow im 2))) (* -1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* -1/2 (log (pow im 2))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(log (/ 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))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))
(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))) (+ (* -1/6 (/ (pow im 6) (pow re 6))) (* 1/4 (/ (pow im 4) (pow re 4))))))
(* -1/2 (log (pow re 2)))
(+ (* -1/2 (log (pow re 2))) (* -1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1/2 (log (pow re 2))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (* -1/2 (log (pow re 2))) (* (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))))))
(log (/ 1 im))
(+ (log (/ 1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))
(+ (log (/ 1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4)))))
(+ (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))))))
(log (/ -1 im))
(+ (log (/ -1 im)) (* -1/2 (/ (pow re 2) (pow im 2))))
(+ (log (/ -1 im)) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/4 (/ (pow re 4) (pow im 4)))))
(+ (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))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -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)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -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)))))
(pow im 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(pow re 2)
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))
(pow re 2)
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(+ (pow im 2) (pow re 2))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(pow im 2)
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))
(* 1/2 (/ (log (pow im 2)) (log 10)))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log 10)))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log 10)))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log 10))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log 10)))) (* 1/4 (/ 1 (* (pow im 4) (log 10)))))) (* 1/2 (/ 1 (* (pow im 2) (log 10)))))))
(* -1 (/ (log (/ 1 re)) (log 10)))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10))))))
(+ (* -1 (/ (log (/ 1 re)) (log 10))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log 10)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log 10)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))))
(* -1 (/ (log (/ -1 re)) (log 10)))
(+ (* -1 (/ (log (/ -1 re)) (log 10))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log 10)))))
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(* -2 (/ (log 1/10) (log (pow im 2))))
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(* -2 (/ (log 1/10) (log (pow re 2))))
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Outputs
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))
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(* -1 (log (/ 1 re)))
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(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (log.f64 #s(literal 1/10 binary64))) (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))) (+.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 4 binary64)))))
(+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 2 (/ (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (/ (log 1/10) (log (/ 1 im))))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (log.f64 #s(literal 1/10 binary64))) (*.f64 (*.f64 im im) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64))))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) im)))))
(/ (log 1/10) (log (/ -1 im)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ (log 1/10) (log (/ -1 im))))
(+.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 re (*.f64 re (log.f64 #s(literal 1/10 binary64)))) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (/ (log 1/10) (log (/ -1 im)))))
(+.f64 (+.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 re (*.f64 re (log.f64 #s(literal 1/10 binary64)))) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 4 binary64))))
(+ (* 1/2 (/ (* (pow re 2) (log 1/10)) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (+ (* 2 (/ (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 2 (/ (+ (* -1/16 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log 1/10)) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (/ (log 1/10) (log (/ -1 im))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (*.f64 re (*.f64 re (log.f64 #s(literal 1/10 binary64)))) (*.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))

eval239.0ms (3.1%)

Compiler

Compiled 43952 to 3564 computations (91.9% saved)

prune163.0ms (2.1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New158571592
Fresh101
Picked145
Done011
Total1587121599
Accuracy
100.0%
Counts
1599 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
23.0%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
56.7%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.2%
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.2%
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
56.7%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
98.6%
(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
69.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
Compiler

Compiled 290 to 199 computations (31.4% saved)

simplify131.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 im))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
cost-diff0
(log.f64 im)
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
cost-diff0
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
cost-diff-64
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
cost-diff-64
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(log.f64 im)
cost-diff0
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
cost-diff19456
(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
Rules
2174×*-lowering-*.f32
2174×*-lowering-*.f64
1746×fnmadd-define
1552×sum3-define
1272×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025136
148131
296130
3242106
41189106
52068106
64585106
08603106
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(log im)
im
(- 0 (pow (log 1/10) 3))
0
(pow (log 1/10) 3)
(log 1/10)
1/10
3
(pow (log 1/10) 2)
2
(/ (log im) (neg (log 1/10)))
(log im)
im
(neg (log 1/10))
(log 1/10)
1/10
(/ -1 (/ (log 1/10) (log im)))
-1
(/ (log 1/10) (log im))
(log 1/10)
1/10
(log im)
im
(/ 1 (/ (log 10) (log im)))
1
(/ (log 10) (log im))
(log 10)
10
(log im)
im
(/ (/ -1 (log 1/10)) (/ 1 (log im)))
(/ -1 (log 1/10))
-1
(log 1/10)
1/10
(/ 1 (log im))
1
(log im)
im
Outputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(log im)
(log.f64 im)
im
(- 0 (pow (log 1/10) 3))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
0
#s(literal 0 binary64)
(pow (log 1/10) 3)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
3
#s(literal 3 binary64)
(pow (log 1/10) 2)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (log im) (neg (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(log im)
(log.f64 im)
im
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ -1 (/ (log 1/10) (log im)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
-1
#s(literal -1 binary64)
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(log im)
(log.f64 im)
im
(/ 1 (/ (log 10) (log im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
1
#s(literal 1 binary64)
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(log im)
(log.f64 im)
im
(/ (/ -1 (log 1/10)) (/ 1 (log im)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ -1 (log 1/10))
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
-1
#s(literal -1 binary64)
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
1
#s(literal 1 binary64)
(log im)
(log.f64 im)
im

localize173.0ms (2.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy99.6%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
accuracy98.4%
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy100.0%
(log.f64 im)
accuracy100.0%
(log.f64 #s(literal 10 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
accuracy99.1%
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
accuracy100.0%
(log.f64 im)
accuracy99.5%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
accuracy99.1%
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy100.0%
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy100.0%
(log.f64 im)
accuracy99.1%
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy99.2%
(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
accuracy98.4%
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
accuracy98.4%
(log.f64 #s(literal 1/10 binary64))
accuracy97.5%
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
Results
116.0ms256×0valid
Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 16.0ms (30.6% of total)
ival-div: 14.0ms (26.8% of total)
ival-log: 12.0ms (23% of total)
...c/correct-round.rkt:119:19: 5.0ms (9.6% of total)
ival-mult: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.6%)

Counts
17 → 120
Calls
Call 1
Inputs
#<alt (* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))>
#<alt (/ (log im) (- 0 (pow (log 1/10) 3)))>
#<alt (log im)>
#<alt (- 0 (pow (log 1/10) 3))>
#<alt (log 1/10)>
#<alt (/ (log im) (neg (log 1/10)))>
#<alt (neg (log 1/10))>
#<alt (/ -1 (/ (log 1/10) (log im)))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ 1 (/ (log 10) (log im)))>
#<alt (/ (log 10) (log im))>
#<alt (log 10)>
#<alt (/ (/ -1 (log 1/10)) (/ 1 (log im)))>
#<alt (/ -1 (log 1/10))>
#<alt (/ 1 (log im))>
#<alt (pow (log 1/10) 3)>
#<alt (pow (log 1/10) 2)>
Outputs
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (log im) (pow (log 1/10) 3)))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (/ (log (/ 1 im)) (pow (log 1/10) 3))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (/ (log 1/10) (log im))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 1/10) (log (/ 1 im))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
Calls

30 calls:

TimeVariablePointExpression
30.0ms
im
@0
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
1.0ms
im
@0
(/ (log im) (- 0 (pow (log 1/10) 3)))
1.0ms
im
@-inf
(/ (log im) (- 0 (pow (log 1/10) 3)))
1.0ms
im
@-inf
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
1.0ms
im
@inf
(/ (log im) (- 0 (pow (log 1/10) 3)))

rewrite323.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
2856×*-lowering-*.f32
2856×*-lowering-*.f64
2038×/-lowering-/.f32
2038×/-lowering-/.f64
1626×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025111
1121104
265369
3583669
0878669
Stop Event
iter limit
node limit
Counts
17 → 1674
Calls
Call 1
Inputs
(* (/ (log im) (- 0 (pow (log 1/10) 3))) (pow (log 1/10) 2))
(/ (log im) (- 0 (pow (log 1/10) 3)))
(log im)
(- 0 (pow (log 1/10) 3))
(log 1/10)
(/ (log im) (neg (log 1/10)))
(neg (log 1/10))
(/ -1 (/ (log 1/10) (log im)))
(/ (log 1/10) (log im))
(/ 1 (/ (log 10) (log im)))
(/ (log 10) (log im))
(log 10)
(/ (/ -1 (log 1/10)) (/ 1 (log im)))
(/ -1 (log 1/10))
(/ 1 (log im))
(pow (log 1/10) 3)
(pow (log 1/10) 2)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) #s(literal 0 binary64)) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))))
(neg.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -6 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 18 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 im) #s(literal -1/2 binary64))) (pow.f64 (log.f64 im) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 18 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 12 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
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(exp.f64 (log.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (*.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))

simplify213.0ms (2.8%)

Algorithm
egg-herbie
Rules
2128×fnmadd-define
1692×fma-define
1576×fma-lowering-fma.f32
1576×fma-lowering-fma.f64
1422×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043864
182824
2153824
3406804
41295804
52952804
65712804
08023804
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(/ (log 1/10) (log im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (log 10) (log im))
(/ (log 10) (log im))
(/ (log 10) (log im))
(/ (log 10) (log im))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
Outputs
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(* -1 (/ (log im) (pow (log 1/10) 3)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/ (log (/ 1 im)) (pow (log 1/10) 3))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (pow (log 1/10) 3)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 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)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 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 im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (log im))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(* -1 (/ (log 1/10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 1/10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 #s(literal -1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 #s(literal -1 binary64))))

eval573.0ms (7.5%)

Compiler

Compiled 34222 to 3595 computations (89.5% saved)

prune260.0ms (3.4%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New203882046
Fresh112
Picked145
Done055
Total2040182058
Accuracy
100.0%
Counts
2058 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
97.7%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.1%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
69.4%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))))
69.4%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 im)))))
23.0%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
56.7%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.2%
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.2%
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
69.4%
(/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
98.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
56.7%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
98.5%
(*.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
98.5%
(neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
Compiler

Compiled 405 to 294 computations (27.4% saved)

simplify184.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
cost-diff12928
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))))
cost-diff13056
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))))
cost-diff0
(log.f64 (log.f64 im))
cost-diff128
(*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))
cost-diff12864
(/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
cost-diff0
(log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))))
cost-diff0
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(log.f64 im)
cost-diff0
(/.f64 #s(literal 1 binary64) (log.f64 im))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
cost-diff19392
(neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
cost-diff19456
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
Rules
2430×*-lowering-*.f32
2430×*-lowering-*.f64
1456×fnmadd-define
1266×/-lowering-/.f32
1266×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044326
1122276
2288252
3751252
42238252
55195252
08029252
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))
(/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))
(pow (log 1/10) 2)
(log 1/10)
1/10
2
(/ (pow (log 1/10) 3) (log im))
(pow (log 1/10) 3)
3
(log im)
im
(/ 1 (* (/ 1 (log im)) (log 10)))
1
(* (/ 1 (log im)) (log 10))
(/ 1 (log im))
(log im)
im
(log 10)
10
(/ (* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))) (log 1/10))
(* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))))
-1/2
(- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))
(log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))
(+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))
(* (* re (* re re)) (* re (* re re)))
(* re (* re re))
re
(* re re)
(* (* im im) (* im (* im (* im im))))
(* im im)
im
(* im (* im (* im im)))
(* im (* im im))
(log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))
(+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))
(* (* re re) (- (* re re) (* im im)))
(- (* re re) (* im im))
(log 1/10)
1/10
(/ (exp (* (log (log im)) 1)) (neg (log 1/10)))
(exp (* (log (log im)) 1))
(* (log (log im)) 1)
(log (log im))
(log im)
im
1
(neg (log 1/10))
(log 1/10)
1/10
(/ (/ -1 (log 1/10)) (/ 1 (exp (* (log (log im)) 1))))
(/ -1 (log 1/10))
-1
(log 1/10)
1/10
(/ 1 (exp (* (log (log im)) 1)))
1
(exp (* (log (log im)) 1))
(* (log (log im)) 1)
(log (log im))
(log im)
im
Outputs
(neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(pow (log 1/10) 2)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
2
#s(literal 2 binary64)
(/ (pow (log 1/10) 3) (log im))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))
(pow (log 1/10) 3)
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(log im)
(log.f64 im)
im
(/ 1 (* (/ 1 (log im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
1
#s(literal 1 binary64)
(* (/ 1 (log im)) (log 10))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(log im)
(log.f64 im)
im
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)
(/ (* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))) (log 1/10))
(*.f64 (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im))))))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))))
(*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im))))))))
-1/2
#s(literal -1/2 binary64)
(- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))
(-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im)))))))
(log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))
(log.f64 (+.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))))
(+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))
(+.f64 (*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))
(* (* re (* re re)) (* re (* re re)))
(*.f64 (*.f64 re re) (*.f64 (*.f64 re re) (*.f64 re re)))
(* re (* re re))
(*.f64 re (*.f64 re re))
re
(* re re)
(*.f64 re re)
(* (* im im) (* im (* im (* im im))))
(*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))
(* im im)
(*.f64 im im)
im
(* im (* im (* im im)))
(*.f64 im (*.f64 im (*.f64 im im)))
(* im (* im im))
(*.f64 im (*.f64 im im))
(log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))
(log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im))))))
(+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))
(+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im)))))
(* (* re re) (- (* re re) (* im im)))
(*.f64 re (*.f64 re (-.f64 (*.f64 re re) (*.f64 im im))))
(- (* re re) (* im im))
(-.f64 (*.f64 re re) (*.f64 im im))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ (exp (* (log (log im)) 1)) (neg (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(exp (* (log (log im)) 1))
(log.f64 im)
(* (log (log im)) 1)
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log im)
(log.f64 im)
im
1
#s(literal 1 binary64)
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ (/ -1 (log 1/10)) (/ 1 (exp (* (log (log im)) 1))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64))))
(/ -1 (log 1/10))
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
-1
#s(literal -1 binary64)
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)
(/ 1 (exp (* (log (log im)) 1)))
(/.f64 #s(literal 1 binary64) (log.f64 im))
1
#s(literal 1 binary64)
(exp (* (log (log im)) 1))
(log.f64 im)
(* (log (log im)) 1)
(log.f64 (log.f64 im))
(log (log im))
(log.f64 (log.f64 im))
(log im)
(log.f64 im)
im

localize291.0ms (3.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))))
accuracy98.9%
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
accuracy98.9%
(log.f64 #s(literal 1/10 binary64))
accuracy98.7%
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
accuracy99.9%
(log.f64 (log.f64 im))
accuracy99.3%
(/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy98.9%
(log.f64 #s(literal 1/10 binary64))
accuracy98.7%
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
accuracy79.5%
(*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))
accuracy78.5%
(+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))
accuracy48.9%
(log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im)))))
accuracy45.1%
(log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im))))))
accuracy100.0%
(log.f64 #s(literal 10 binary64))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (log.f64 im))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
accuracy99.3%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
accuracy99.4%
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
accuracy98.9%
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))
accuracy98.9%
(log.f64 #s(literal 1/10 binary64))
accuracy98.2%
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))
Results
142.0ms182×0valid
39.0ms74×0invalid
Compiler

Compiled 456 to 45 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 23.0ms (25% of total)
ival-log: 19.0ms (20.7% of total)
ival-pow: 19.0ms (20.7% of total)
ival-div: 15.0ms (16.3% of total)
...c/correct-round.rkt:119:19: 5.0ms (5.4% of total)
ival-sub: 4.0ms (4.4% of total)
ival-exp: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series252.0ms (3.3%)

Counts
24 → 312
Calls
Call 1
Inputs
#<alt (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))>
#<alt (neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))>
#<alt (pow (log 1/10) 2)>
#<alt (log 1/10)>
#<alt (/ 1 (* (/ 1 (log im)) (log 10)))>
#<alt (* (/ 1 (log im)) (log 10))>
#<alt (/ 1 (log im))>
#<alt (log im)>
#<alt (/ (* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))) (log 1/10))>
#<alt (* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))))>
#<alt (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))>
#<alt (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))>
#<alt (exp (* (log (log im)) 1))>
#<alt (/ (exp (* (log (log im)) 1)) (neg (log 1/10)))>
#<alt (* (log (log im)) 1)>
#<alt (log (log im))>
#<alt (/ (/ -1 (log 1/10)) (/ 1 (exp (* (log (log im)) 1))))>
#<alt (/ 1 (exp (* (log (log im)) 1)))>
#<alt (pow (log 1/10) 3)>
#<alt (log 10)>
#<alt (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))>
#<alt (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))>
#<alt (* (* re re) (- (* re re) (* im im)))>
#<alt (/ -1 (log 1/10))>
Outputs
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (/ (log im) (log 1/10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 1/10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (/ (log im) (log 10))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (* -1 (/ (log (/ 1 im)) (log 10)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (/ (log 10) (log im))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (* -1 (/ (log 10) (log (/ 1 im))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (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)))))))>
#<alt (+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (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)))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10))))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow im 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (log 1/10)))) (pow re 6))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10)))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))) (log 1/10))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10))))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow im 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (log 1/10)))) (pow re 6))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10)))))))>
#<alt (* -1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (log 1/10))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (* (pow re 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (+ (* -1/2 (/ (- (log (pow re 6)) (log (pow re 4))) (log 1/10))) (* (pow im 2) (- (* (pow im 2) (+ (* -1/6 (/ (pow im 2) (* (pow re 6) (log 1/10)))) (* 1/4 (/ 1 (* (pow re 4) (log 1/10)))))) (* 1/2 (/ 1 (* (pow re 2) (log 1/10)))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log 1/10))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10))))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow re 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (log 1/10)))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10)))))))>
#<alt (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10)))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10))))))>
#<alt (+ (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow re 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (log 1/10)))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10)))))))>
#<alt (* -1/2 (- (log (pow im 6)) (log (pow im 4))))>
#<alt (+ (* -1/2 (- (log (pow im 6)) (log (pow im 4)))) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1/2 (- (log (pow im 6)) (log (pow im 4)))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* -1/2 (- (log (pow im 6)) (log (pow im 4)))) (* (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))))))>
#<alt (* -1/2 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))) (+ (* -1/2 (/ (- (pow im 6) (* 1/720 (+ (* -240 (pow im 6)) (* 720 (pow im 6))))) (pow re 6))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))>
#<alt (* -1/2 (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re))))) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re))))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re))))) (+ (* -1/2 (/ (- (pow im 6) (* 1/720 (+ (* -240 (pow im 6)) (* 720 (pow im 6))))) (pow re 6))) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))>
#<alt (* -1/2 (- (log (pow re 6)) (log (pow re 4))))>
#<alt (+ (* -1/2 (- (log (pow re 6)) (log (pow re 4)))) (* -1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1/2 (- (log (pow re 6)) (log (pow re 4)))) (* (pow im 2) (- (* 1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* -1/2 (- (log (pow re 6)) (log (pow re 4)))) (* (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))))))>
#<alt (* -1/2 (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))) (+ (* -1/2 (/ (- (pow re 6) (* 1/720 (+ (* -240 (pow re 6)) (* 720 (pow re 6))))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))>
#<alt (* -1/2 (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))) (* -1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))>
#<alt (+ (* -1/2 (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))) (+ (* -1/2 (/ (- (pow re 6) (* 1/720 (+ (* -240 (pow re 6)) (* 720 (pow re 6))))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (pow im 2))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))>
#<alt (- (log (pow im 6)) (log (pow im 4)))>
#<alt (- (+ (log (pow im 6)) (/ (pow re 2) (pow im 2))) (log (pow im 4)))>
#<alt (- (+ (log (pow im 6)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2))))) (log (pow im 4)))>
#<alt (- (+ (log (pow im 6)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (log (pow im 4)))>
#<alt (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re))))>
#<alt (- (+ (* -6 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ 1 re))))>
#<alt (- (+ (* -6 (log (/ 1 re))) (* -1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -4 (log (/ 1 re))) (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (- (+ (* -6 (log (/ 1 re))) (/ (pow im 6) (pow re 6))) (+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))>
#<alt (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re))))>
#<alt (- (+ (* -6 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ -1 re))))>
#<alt (- (+ (* -6 (log (/ -1 re))) (* -1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (- (+ (* -6 (log (/ -1 re))) (/ (pow im 6) (pow re 6))) (+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))))>
#<alt (- (log (pow re 6)) (log (pow re 4)))>
#<alt (- (+ (log (pow re 6)) (/ (pow im 2) (pow re 2))) (log (pow re 4)))>
#<alt (- (+ (log (pow re 6)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (log (pow re 4)))>
#<alt (- (+ (log (pow re 6)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (log (pow re 4)))>
#<alt (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))>
#<alt (- (+ (* -6 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ 1 im))))>
#<alt (- (+ (* -6 (log (/ 1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (- (+ (* -6 (log (/ 1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))>
#<alt (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (* -4 (log (/ -1 im))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (* -1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))) (+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (- (+ (* -6 (log (/ -1 im))) (/ (pow re 6) (pow im 6))) (+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))))>
#<alt (log (pow im 6))>
#<alt (+ (log (pow im 6)) (/ (pow re 6) (pow im 6)))>
#<alt (+ (log (pow im 6)) (* (pow re 6) (+ (* -1/2 (/ (pow re 6) (pow im 12))) (/ 1 (pow im 6)))))>
#<alt (+ (log (pow im 6)) (* (pow re 6) (+ (* (pow re 6) (- (* 1/3 (/ (pow re 6) (pow im 18))) (* 1/2 (/ 1 (pow im 12))))) (/ 1 (pow im 6)))))>
#<alt (* -6 (log (/ 1 re)))>
#<alt (+ (* -6 (log (/ 1 re))) (/ (pow im 6) (pow re 6)))>
#<alt (+ (* -6 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 12) (pow re 12))) (/ (pow im 6) (pow re 6))))>
#<alt (+ (* -6 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 12) (pow re 12))) (+ (* 1/3 (/ (pow im 18) (pow re 18))) (/ (pow im 6) (pow re 6)))))>
#<alt (* -6 (log (/ -1 re)))>
#<alt (+ (* -6 (log (/ -1 re))) (/ (pow im 6) (pow re 6)))>
#<alt (+ (* -6 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 12) (pow re 12))) (/ (pow im 6) (pow re 6))))>
#<alt (+ (* -6 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 12) (pow re 12))) (+ (* 1/3 (/ (pow im 18) (pow re 18))) (/ (pow im 6) (pow re 6)))))>
#<alt (log (pow re 6))>
#<alt (+ (log (pow re 6)) (/ (pow im 6) (pow re 6)))>
#<alt (+ (log (pow re 6)) (* (pow im 6) (+ (* -1/2 (/ (pow im 6) (pow re 12))) (/ 1 (pow re 6)))))>
#<alt (+ (log (pow re 6)) (* (pow im 6) (+ (* (pow im 6) (- (* 1/3 (/ (pow im 6) (pow re 18))) (* 1/2 (/ 1 (pow re 12))))) (/ 1 (pow re 6)))))>
#<alt (* -6 (log (/ 1 im)))>
#<alt (+ (* -6 (log (/ 1 im))) (/ (pow re 6) (pow im 6)))>
#<alt (+ (* -6 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (/ (pow re 6) (pow im 6))))>
#<alt (+ (* -6 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (+ (* 1/3 (/ (pow re 18) (pow im 18))) (/ (pow re 6) (pow im 6)))))>
#<alt (* -6 (log (/ -1 im)))>
#<alt (+ (* -6 (log (/ -1 im))) (/ (pow re 6) (pow im 6)))>
#<alt (+ (* -6 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (/ (pow re 6) (pow im 6))))>
#<alt (+ (* -6 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (+ (* 1/3 (/ (pow re 18) (pow im 18))) (/ (pow re 6) (pow im 6)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (log im))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (* -1 (log (/ 1 im))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (* -1 (/ (log im) (log 1/10)))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (/ (log (/ 1 im)) (log 1/10))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log (pow re 4))>
#<alt (+ (log (pow re 4)) (* -1 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log (pow re 4)) (* (pow im 2) (- (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 4)) (* (pow im 2) (- (* (pow im 2) (+ (* 2/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -4 (log (/ 1 im)))>
#<alt (+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))>
#<alt (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))>
#<alt (* -4 (log (/ -1 im)))>
#<alt (+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))>
#<alt (+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))>
#<alt (log (pow im 4))>
#<alt (+ (log (pow im 4)) (* -1 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log (pow im 4)) (* (pow re 2) (- (* 1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 4)) (* (pow re 2) (- (* (pow re 2) (+ (* 2/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -4 (log (/ 1 re)))>
#<alt (+ (* -4 (log (/ 1 re))) (* -1 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))>
#<alt (+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))>
#<alt (* -4 (log (/ -1 re)))>
#<alt (+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))>
#<alt (+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))>
#<alt (pow re 4)>
#<alt (+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))>
#<alt (+ (* (pow im 2) (+ (* -1 (pow re 2)) (pow im 2))) (pow re 4))>
#<alt (+ (* (pow im 2) (+ (* -1 (pow re 2)) (pow im 2))) (pow re 4))>
#<alt (pow im 4)>
#<alt (* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))>
#<alt (* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))>
#<alt (pow im 4)>
#<alt (* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))>
#<alt (* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))>
#<alt (* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))>
#<alt (pow im 4)>
#<alt (+ (* -1 (* (pow im 2) (pow re 2))) (pow im 4))>
#<alt (+ (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2))) (pow im 4))>
#<alt (+ (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2))) (pow im 4))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (* -1 (* (pow im 2) (pow re 2)))>
#<alt (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))>
#<alt (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))>
#<alt (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (pow re 4)>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))>
#<alt (pow re 4)>
#<alt (+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))>
#<alt (+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))>
#<alt (+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))>
#<alt (* -1 (* (pow im 2) (pow re 2)))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
#<alt (* -1 (* (pow im 2) (pow re 2)))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))>
Calls

78 calls:

TimeVariablePointExpression
62.0ms
im
@0
(* (log (log im)) 1)
38.0ms
im
@0
(log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))
37.0ms
im
@inf
(* (log (log im)) 1)
33.0ms
re
@0
(log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))
16.0ms
im
@-inf
(* (log (log im)) 1)

rewrite441.0ms (5.8%)

Algorithm
batch-egg-rewrite
Rules
3684×*-lowering-*.f32
3684×*-lowering-*.f64
3186×/-lowering-/.f32
3186×/-lowering-/.f64
1340×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044238
1245166
21676166
08229166
Stop Event
iter limit
node limit
Counts
24 → 1000
Calls
Call 1
Inputs
(/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im)))
(neg (/ (pow (log 1/10) 2) (/ (pow (log 1/10) 3) (log im))))
(pow (log 1/10) 2)
(log 1/10)
(/ 1 (* (/ 1 (log im)) (log 10)))
(* (/ 1 (log im)) (log 10))
(/ 1 (log im))
(log im)
(/ (* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))) (log 1/10))
(* -1/2 (- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))))
(- (log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im)))))) (log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))))
(log (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* im (* im (* im im))))))
(exp (* (log (log im)) 1))
(/ (exp (* (log (log im)) 1)) (neg (log 1/10)))
(* (log (log im)) 1)
(log (log im))
(/ (/ -1 (log 1/10)) (/ 1 (exp (* (log (log im)) 1))))
(/ 1 (exp (* (log (log im)) 1)))
(pow (log 1/10) 3)
(log 10)
(log (+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im)))))
(+ (* im (* im (* im im))) (* (* re re) (- (* re re) (* im im))))
(* (* re re) (- (* re re) (* im im)))
(/ -1 (log 1/10))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 im)) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))))))
(exp.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64))))) (log.f64 (log.f64 im))))
(exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 #s(literal 1/10 binary64)))))
(exp.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64)))) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 #s(literal 1/10 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im)))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) im))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 im)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 im))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 im))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))

simplify293.0ms (3.8%)

Algorithm
egg-herbie
Rules
3816×*-lowering-*.f32
3816×*-lowering-*.f64
2528×+-lowering-+.f64
2528×+-lowering-+.f32
1918×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04544361
114683839
246363632
085913632
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(/ (log im) (log 1/10))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(/ (log im) (log 10))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/ (log 10) (log im))
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(* -1 (/ (log 10) (log (/ 1 im))))
(* -1 (/ (log 10) (log (/ 1 im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(log im)
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(+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (log 1/10))) (* (pow re 2) (- (* 1/4 (/ (pow re 2) (* (pow im 4) (log 1/10)))) (* 1/2 (/ 1 (* (pow im 2) (log 1/10)))))))
(+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (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)))))))
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(+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
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(+ (* -1/2 (/ (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow re 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (log 1/10)))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10)))))))
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(+ (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10))))))
(+ (* -1/2 (/ (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow re 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (log 1/10)))) (pow im 6))) (+ (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (* (pow im 4) (log 1/10)))))))
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(+ (* -1/2 (- (log (pow im 6)) (log (pow im 4)))) (* -1/2 (/ (pow re 2) (pow im 2))))
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(* -1/2 (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))))
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(- (log (pow im 6)) (log (pow im 4)))
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(- (+ (log (pow im 6)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2))))) (log (pow im 4)))
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(+ (log (pow re 6)) (* (pow im 6) (+ (* (pow im 6) (- (* 1/3 (/ (pow im 6) (pow re 18))) (* 1/2 (/ 1 (pow re 12))))) (/ 1 (pow re 6)))))
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(+ (* -6 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (+ (* 1/3 (/ (pow re 18) (pow im 18))) (/ (pow re 6) (pow im 6)))))
(* -6 (log (/ -1 im)))
(+ (* -6 (log (/ -1 im))) (/ (pow re 6) (pow im 6)))
(+ (* -6 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (/ (pow re 6) (pow im 6))))
(+ (* -6 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 12) (pow im 12))) (+ (* 1/3 (/ (pow re 18) (pow im 18))) (/ (pow re 6) (pow im 6)))))
(log im)
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(log im)
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(+ (log -1) (* -1 (log (/ -1 im))))
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(* -1 (/ (log im) (log 1/10)))
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(/ (log (/ 1 im)) (log 1/10))
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(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
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(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(log (log im))
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(log (* -1 (log (/ 1 im))))
(log (* -1 (log (/ 1 im))))
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(log (+ (log -1) (* -1 (log (/ -1 im)))))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(* -1 (/ (log im) (log 1/10)))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(/ (log (/ 1 im)) (log 1/10))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(* -1 (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10)))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(log (pow re 4))
(+ (log (pow re 4)) (* -1 (/ (pow im 2) (pow re 2))))
(+ (log (pow re 4)) (* (pow im 2) (- (* 1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 4)) (* (pow im 2) (- (* (pow im 2) (+ (* 2/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -4 (log (/ 1 im)))
(+ (* -4 (log (/ 1 im))) (* -1 (/ (pow re 2) (pow im 2))))
(+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))
(+ (* -4 (log (/ 1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))
(* -4 (log (/ -1 im)))
(+ (* -4 (log (/ -1 im))) (* -1 (/ (pow re 2) (pow im 2))))
(+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4)))))
(+ (* -4 (log (/ -1 im))) (+ (* -1 (/ (pow re 2) (pow im 2))) (+ (* 1/720 (/ (+ (* -240 (pow re 6)) (* 720 (pow re 6))) (pow im 6))) (* 1/24 (/ (+ (* -12 (pow re 4)) (* 24 (pow re 4))) (pow im 4))))))
(log (pow im 4))
(+ (log (pow im 4)) (* -1 (/ (pow re 2) (pow im 2))))
(+ (log (pow im 4)) (* (pow re 2) (- (* 1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 4)) (* (pow re 2) (- (* (pow re 2) (+ (* 2/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -4 (log (/ 1 re)))
(+ (* -4 (log (/ 1 re))) (* -1 (/ (pow im 2) (pow re 2))))
(+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))
(+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))
(* -4 (log (/ -1 re)))
(+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2))))
(+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))))
(+ (* -4 (log (/ -1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (+ (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (pow re 6))) (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4))))))
(pow re 4)
(+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))
(+ (* (pow im 2) (+ (* -1 (pow re 2)) (pow im 2))) (pow re 4))
(+ (* (pow im 2) (+ (* -1 (pow re 2)) (pow im 2))) (pow re 4))
(pow im 4)
(* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))
(pow im 4)
(* (pow im 4) (+ 1 (* -1 (/ (pow re 2) (pow im 2)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))
(* (pow im 4) (+ 1 (+ (* -1 (/ (pow re 2) (pow im 2))) (/ (pow re 4) (pow im 4)))))
(pow im 4)
(+ (* -1 (* (pow im 2) (pow re 2))) (pow im 4))
(+ (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2))) (pow im 4))
(+ (* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2))) (pow im 4))
(pow re 4)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(pow re 4)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(* (pow re 4) (- (+ 1 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(* -1 (* (pow im 2) (pow re 2)))
(* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))
(* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))
(* (pow re 2) (+ (* -1 (pow im 2)) (pow re 2)))
(pow re 4)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(pow re 4)
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(* (pow re 4) (+ 1 (* -1 (/ (pow im 2) (pow re 2)))))
(pow re 4)
(+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))
(+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))
(+ (* -1 (* (pow im 2) (pow re 2))) (pow re 4))
(* -1 (* (pow im 2) (pow re 2)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(* -1 (* (pow im 2) (pow re 2)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
Outputs
(/ (log im) (log 1/10))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/ (log im) (log 1/10))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/ (log im) (log 1/10))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/ (log im) (log 1/10))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 1/10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 1/10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 1/10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 1/10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 1/10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 1/10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (log im) (log 1/10)))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log (/ 1 im)) (log 1/10))
(/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (+ (* -1 (/ (log (/ -1 im)) (log 1/10))) (/ (log -1) (log 1/10))))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (log im) (log 10))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(* -1 (/ (log (/ 1 im)) (log 10)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log 10))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 #s(literal 10 binary64)))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (log im))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(* -1 (/ (log 10) (log (/ 1 im))))
(/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ (log 10) (+ (log -1) (* -1 (log (/ -1 im)))))
(/.f64 (log.f64 #s(literal 10 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ 1 (log im))
(/.f64 #s(literal 1 binary64) (log.f64 im))
(/ -1 (log (/ 1 im)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/ -1 (log (/ 1 im)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/ -1 (log (/ 1 im)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/ -1 (log (/ 1 im)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))
(/ 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))))
(/ 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))))
(/ 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))))
(/ 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))))
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(log im)
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 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)))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 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)))
(* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (log 1/10)))
(*.f64 (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (log 1/10))) (* -1/2 (/ (pow re 2) (* (pow im 2) (log 1/10)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (*.f64 im (*.f64 im (*.f64 im im))))) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 #s(literal 1/10 binary64)))))))
(+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (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)))))))
(+.f64 (*.f64 (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (*.f64 re re) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 1/10 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/4 binary64)) (*.f64 im (*.f64 im (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64))))))
(+ (* -1/2 (/ (- (log (pow im 6)) (log (pow im 4))) (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)))))))
(+.f64 (*.f64 (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (*.f64 im (*.f64 im (*.f64 im im))))) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (*.f64 re re) (+.f64 (*.f64 (*.f64 re re) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 im (*.f64 im (*.f64 im im))))))) (/.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (log.f64 #s(literal 1/10 binary64))))))))
(* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) (log.f64 #s(literal 1/10 binary64)))
(+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) re) (/.f64 (*.f64 im im) re)) (log.f64 #s(literal 1/10 binary64))))
(+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10))))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 re)) (log.f64 #s(literal 1/10 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) re) (/.f64 (*.f64 im im) re)) (log.f64 #s(literal 1/10 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (/.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal 12 binary64)) (*.f64 re (*.f64 re (*.f64 re re)))) (log.f64 #s(literal 1/10 binary64))))))
(+ (* -1/2 (/ (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (log 1/10))) (+ (* -1/2 (/ (- (/ (pow im 6) (log 1/10)) (* 1/720 (/ (+ (* -240 (pow im 6)) (* 720 (pow im 6))) (log 1/10)))) (pow re 6))) (+ (* -1/2 (/ (pow im 2) (* (pow re 2) (log 1/10)))) (* 1/48 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (* (pow re 4) (log 1/10)))))))
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(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))
(* -1 (* (pow im 2) (pow re 2)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 im im) re) re))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))
(* (pow im 2) (+ (* -1 (pow re 2)) (/ (pow re 4) (pow im 2))))
(*.f64 (*.f64 im im) (-.f64 (/.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 im im)) (*.f64 re re)))

eval223.0ms (2.9%)

Compiler

Compiled 48609 to 3678 computations (92.4% saved)

prune158.0ms (2.1%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New160971616
Fresh224
Picked415
Done099
Total1615191634
Accuracy
100.0%
Counts
1634 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
69.3%
(/.f64 (pow.f64 (E.f64) (log.f64 (log.f64 im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
97.7%
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
98.1%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
69.4%
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 im)))))
31.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 im) #s(literal 6 binary64)) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
56.7%
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
99.0%
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
99.1%
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
98.2%
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.2%
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
69.4%
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
98.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
56.7%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
98.1%
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
98.6%
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))))
97.7%
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
98.4%
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
Compiler

Compiled 605 to 296 computations (51.1% saved)

regimes82.0ms (1.1%)

Counts
30 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (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 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (log.f64 im) #s(literal 6 binary64)) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (*.f64 im im) (*.f64 im (*.f64 im (*.f64 im im)))))) (log.f64 (+.f64 (*.f64 im (*.f64 im (*.f64 im im))) (*.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 im im))))))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (exp.f64 (log.f64 (log.f64 im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (E.f64) (log.f64 (log.f64 im))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64))) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 im)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (log.f64 im)))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (log.f64 im))))
(*.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -3 binary64)) (log.f64 im))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (log.f64 im) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
Calls

8 calls:

17.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
12.0ms
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
10.0ms
im
9.0ms
(*.f64 re re)
8.0ms
re
Results
AccuracySegmentsBranch
99.1%1re
99.1%1im
99.1%1(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 10 binary64)))
99.1%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
99.1%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
99.1%1(+.f64 (*.f64 re re) (*.f64 im im))
99.1%1(*.f64 re re)
99.1%1(*.f64 im im)
Compiler

Compiled 60 to 38 computations (36.7% saved)

regimes26.0ms (0.3%)

Accuracy

Total -27.1b remaining (-2389.4%)

Threshold costs -27.1b (-2389.4%)

Counts
11 → 1
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (log.f64 im))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 im)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (*.f64 re re) (*.f64 im im))))))
Outputs
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
Calls

5 calls:

9.0ms
im
6.0ms
re
3.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
3.0ms
(*.f64 im im)
3.0ms
(*.f64 re re)
Results
AccuracySegmentsBranch
98.2%1im
98.2%1(+.f64 (*.f64 re re) (*.f64 im im))
98.2%1(*.f64 im im)
98.2%1re
98.2%1(*.f64 re re)
Compiler

Compiled 25 to 15 computations (40% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 im) (log.f64 #s(literal 10 binary64)))

soundness270.0ms (3.5%)

Rules
5914×*-lowering-*.f32
5914×*-lowering-*.f64
2228×+-lowering-+.f64
2228×+-lowering-+.f32
1508×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1157
2177
0177
02631436
17941252
226761188
083831188
Stop Event
fuel
iter limit
node limit
iter limit
saturated
Compiler

Compiled 39 to 29 computations (25.6% saved)

preprocess30.0ms (0.4%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 164 to 122 computations (25.6% saved)

end0.0ms (0%)

Profiling

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