math.log10 on complex, imaginary part

Time bar (total: 5.3s)

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
75%74.9%25%0.1%0%0%0%3
87.5%87.4%12.5%0.1%0%0%0%4
93.8%93.7%6.2%0.1%0%0%0%5
96.9%96.8%3.1%0.1%0%0%0%6
98.4%98.3%1.6%0.1%0%0%0%7
99.2%99.1%0.8%0.1%0%0%0%8
99.6%99.5%0.4%0.1%0%0%0%9
99.8%99.7%0.2%0.1%0%0%0%10
99.9%99.8%0.1%0.1%0%0%0%11
100%99.9%0%0.1%0%0%0%12
Compiler

Compiled 8 to 8 computations (0% saved)

sample852.0ms (16%)

Memory
19.0MiB live, 1 296.6MiB allocated; 217ms collecting garbage
Samples
522.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-log: 96.0ms (35.9% of total)
ival-atan2: 90.0ms (33.7% of total)
ival-div: 64.0ms (23.9% of total)
ival-true: 6.0ms (2.2% of total)
exact: 6.0ms (2.2% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain111.0ms (2.1%)

Memory
-38.6MiB live, 106.1MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
00-0-(log.f64 #s(literal 10 binary64))
00-0-re
00-0-(atan2.f64 im re)
00-0-im
00-0-#s(literal 10 binary64)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 38 to 22 computations (42.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 6.0ms (41.2% of total)
ival-atan2: 5.0ms (34.4% of total)
ival-div: 3.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess13.0ms (0.2%)

Memory
28.7MiB live, 28.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
12136
066
096
096
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 10 binary64))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0614
0914
0914
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

localize33.0ms (0.6%)

Memory
-51.7MiB live, 56.1MiB allocated; 11ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(atan2.f64 im re)
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.8209762695368841
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Samples
18.0ms256×0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-log: 3.0ms (43.1% of total)
ival-atan2: 2.0ms (28.7% of total)
ival-div: 2.0ms (28.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series100.0ms (1.9%)

Memory
12.0MiB live, 147.1MiB allocated; 12ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 10 binary64))
Outputs
(/ (atan2 im re) (log 10))
(atan2 im re)
Calls

6 calls:

TimeVariablePointExpression
40.0ms
re
@0
((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
30.0ms
im
@0
((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
10.0ms
im
@-inf
((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
7.0ms
re
@-inf
((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
7.0ms
re
@inf
((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))

simplify3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
069
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(/ (atan2 im re) (log 10))
(atan2 im re)
Outputs
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2 im re)
(atan2.f64 im re)

rewrite118.0ms (2.2%)

Memory
0.7MiB live, 101.8MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
0911
11211
22311
34111
48811
042211
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
3 → 30
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 10 binary64))
Outputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 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 10 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -10 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 10 binary64))

eval4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 327 to 92 computations (71.9% saved)

prune2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333
Accuracy
100.0%
Counts
33 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
98.8%
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify1.2s (21.6%)

Memory
-122.2MiB live, 794.0MiB allocated; 976ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(literal 1/10 binary64))
cost-diff0
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
cost-diff0
(atan2.f64 im re)
cost-diff0
(neg.f64 (atan2.f64 im re))
cost-diff0
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
cost-diff6
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361
02267
13267
26259
311655
418155
552755
6175355
7540655
0856455
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
im
re
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
Outputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(atan2.f64 im re)
im
re
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)

localize67.0ms (1.3%)

Memory
32.3MiB live, 78.6MiB allocated; 3ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(atan2.f64 im re)
accuracy0.0
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy0.8209762695368841
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy0.16310502930532603
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
accuracy0.80859375
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
accuracy1.0
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 63 to 15 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
const: 31.0ms (65.7% of total)
ival-log: 5.0ms (10.6% of total)
ival-div: 3.0ms (6.4% of total)
ival-mult: 3.0ms (6.4% of total)
ival-atan2: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (2.2%)

Memory
11.1MiB live, 251.0MiB allocated; 28ms collecting garbage
Counts
8 → 4
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (* (log 1/10) (log 10))))
(* -1 (atan2 im re))
(atan2 im re)
Calls

6 calls:

TimeVariablePointExpression
27.0ms
re
@0
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)) (log 1/10) (* (log 10) (log 1/10)))
21.0ms
im
@-inf
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)) (log 1/10) (* (log 10) (log 1/10)))
20.0ms
im
@inf
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)) (log 1/10) (* (log 10) (log 1/10)))
16.0ms
im
@0
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)) (log 1/10) (* (log 10) (log 1/10)))
15.0ms
re
@-inf
((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)) (log 1/10) (* (log 10) (log 1/10)))

simplify14.0ms (0.3%)

Memory
-36.0MiB live, 7.9MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01424
12424
24424
36324
46424
06424
Stop Event
iter limit
saturated
Counts
4 → 4
Calls
Call 1
Inputs
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (* (log 1/10) (log 10))))
(* -1 (atan2 im re))
(atan2 im re)
Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(* -1 (/ (atan2 im re) (* (log 1/10) (log 10))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(* -1 (atan2 im re))
(neg.f64 (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)

rewrite130.0ms (2.5%)

Memory
45.7MiB live, 184.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01347
02252
14549
212740
344336
0311336
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
8 → 490
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 1/10 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
Outputs
(*.f64 (/.f64 (atan2.f64 im re) (-.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)))
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(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (neg.f64 (atan2.f64 im re)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
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(/.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 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (/.f64 #s(literal 0 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)) (log.f64 #s(literal 10 binary64)))
(fma.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (log.f64 (pow.f64 #s(literal 1/10 binary64) #s(literal -1/2 binary64))) (log.f64 (pow.f64 #s(literal 1/10 binary64) #s(literal -1/2 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 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 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))))
(/.f64 (+.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 3 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))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 10 binary64))))) (*.f64 #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))) (*.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 2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(fma.f64 (/.f64 #s(literal 0 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)) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 1/10 binary64))
(*.f64 (+.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (-.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (neg.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (fabs.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64))) (neg.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/100 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 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))) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 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 0 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64))))))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 0 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 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3/2 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) (/.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)) #s(literal -2 binary64)))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 #s(literal 1/10 binary64) (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 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(literal 1/10 binary64) (log.f64 #s(literal 10 binary64)))))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 #s(literal 1/10 binary64) (log.f64 #s(literal 10 binary64)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(log.f64 (pow.f64 #s(literal 1/10 binary64) (log.f64 #s(literal 10 binary64))))

eval88.0ms (1.6%)

Memory
-38.6MiB live, 158.2MiB allocated; 24ms collecting garbage
Compiler

Compiled 7 757 to 1 141 computations (85.3% saved)

prune7.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4451446
Fresh000
Picked022
Done011
Total4454449
Accuracy
100.0%
Counts
449 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
98.6%
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
98.8%
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
Compiler

Compiled 40 to 34 computations (15% saved)

simplify402.0ms (7.6%)

Memory
-2.0MiB live, 370.3MiB allocated; 53ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 im re)
cost-diff0
(neg.f64 (atan2.f64 im re))
cost-diff2
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
cost-diff6
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01046
01746
12746
26939
317236
439936
5130036
6226436
7534736
0815236
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(neg.f64 (log.f64 #s(literal 10 binary64)))
Outputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(*.f64 (neg.f64 (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(neg.f64 (log.f64 #s(literal 10 binary64)))

localize62.0ms (1.2%)

Memory
27.5MiB live, 72.7MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(log.f64 #s(literal 10 binary64))
accuracy0.16310502930532603
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
accuracy0.80859375
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
accuracy1.0
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))
Samples
50.0ms256×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (28.7% of total)
ival-atan2: 4.0ms (19.1% of total)
ival-log: 4.0ms (19.1% of total)
ival-neg: 4.0ms (19.1% of total)
ival-div: 3.0ms (14.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series119.0ms (2.2%)

Memory
-18.8MiB live, 71.7MiB allocated; 9ms collecting garbage
Counts
6 → 4
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 #s(literal 10 binary64))
Outputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (pow (log 10) 2))
(* -1 (atan2 im re))
(atan2 im re)
Calls

6 calls:

TimeVariablePointExpression
40.0ms
re
@0
((* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (neg (atan2 im re)) (atan2 im re) (* (log 10) (neg (log 10))) (log 10))
38.0ms
im
@inf
((* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (neg (atan2 im re)) (atan2 im re) (* (log 10) (neg (log 10))) (log 10))
10.0ms
re
@-inf
((* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (neg (atan2 im re)) (atan2 im re) (* (log 10) (neg (log 10))) (log 10))
10.0ms
im
@-inf
((* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (neg (atan2 im re)) (atan2 im re) (* (log 10) (neg (log 10))) (log 10))
10.0ms
re
@inf
((* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (neg (atan2 im re)) (atan2 im re) (* (log 10) (neg (log 10))) (log 10))

simplify690.0ms (13%)

Memory
-6.3MiB live, 376.2MiB allocated; 59ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
11621
22621
34821
49321
519821
681121
7557221
0843121
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (pow (log 10) 2))
(* -1 (atan2 im re))
(atan2 im re)
Outputs
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (pow (log 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(* -1 (atan2 im re))
(neg.f64 (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)

rewrite33.0ms (0.6%)

Memory
30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01040
01737
13633
212430
038130
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 42
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64)))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))
(log.f64 #s(literal 10 binary64))
Outputs
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (fabs.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 #s(literal 10 binary64) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 (pow.f64 #s(literal 10 binary64) (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (fabs.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
(*.f64 (neg.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (fabs.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64))) (neg.f64 (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 #s(literal 1/10 binary64) (log.f64 #s(literal 10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))

eval34.0ms (0.6%)

Memory
-47.7MiB live, 9.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 646 to 126 computations (80.5% saved)

prune2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New48250
Fresh000
Picked101
Done033
Total49554
Accuracy
100.0%
Counts
54 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
98.8%
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
98.6%
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
80.0%
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
Compiler

Compiled 59 to 51 computations (13.6% saved)

simplify143.0ms (2.7%)

Memory
43.4MiB live, 131.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(atan2.f64 im re)
cost-diff0
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
cost-diff0
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
cost-diff0
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
cost-diff0
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
cost-diff1
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
cost-diff2
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023105
034101
15097
28793
318693
456693
5286393
0912193
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 2 binary64)
Outputs
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(literal 2 binary64)

localize104.0ms (1.9%)

Memory
-45.8MiB live, 101.6MiB allocated; 17ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
accuracy0.16310502930532603
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
accuracy0.80859375
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
accuracy1.0
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
accuracy0.2265625
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
accuracy0.8209762695368841
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
accuracy1.0
(log.f64 #s(literal 1/10 binary64))
accuracy13.003361588878034
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
Samples
65.0ms256×0valid
Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 17.0ms (42.4% of total)
ival-div: 5.0ms (12.5% of total)
ival-log: 5.0ms (12.5% of total)
const: 4.0ms (10% of total)
ival-exp: 2.0ms (5% of total)
ival-atan2: 2.0ms (5% of total)
ival-pow2: 2.0ms (5% of total)
ival-neg: 2.0ms (5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series126.0ms (2.4%)

Memory
46.7MiB live, 137.3MiB allocated; 7ms collecting garbage
Counts
10 → 6
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 1/10 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (atan2 im re))
(exp (* -1 (/ (atan2 im re) (log 1/10))))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (pow (log 10) 2))
(atan2 im re)
Calls

6 calls:

TimeVariablePointExpression
54.0ms
im
@0
((log (exp (/ (* (atan2 im re) -1) (log 1/10)))) (* (atan2 im re) -1) (exp (/ (* (atan2 im re) -1) (log 1/10))) (/ (* (atan2 im re) -1) (log 1/10)) (* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/ (atan2 im re) (pow (log 10) 2)) (atan2 im re) (log 1/10) (pow (log 10) 2))
21.0ms
re
@inf
((log (exp (/ (* (atan2 im re) -1) (log 1/10)))) (* (atan2 im re) -1) (exp (/ (* (atan2 im re) -1) (log 1/10))) (/ (* (atan2 im re) -1) (log 1/10)) (* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/ (atan2 im re) (pow (log 10) 2)) (atan2 im re) (log 1/10) (pow (log 10) 2))
13.0ms
re
@0
((log (exp (/ (* (atan2 im re) -1) (log 1/10)))) (* (atan2 im re) -1) (exp (/ (* (atan2 im re) -1) (log 1/10))) (/ (* (atan2 im re) -1) (log 1/10)) (* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/ (atan2 im re) (pow (log 10) 2)) (atan2 im re) (log 1/10) (pow (log 10) 2))
13.0ms
im
@-inf
((log (exp (/ (* (atan2 im re) -1) (log 1/10)))) (* (atan2 im re) -1) (exp (/ (* (atan2 im re) -1) (log 1/10))) (/ (* (atan2 im re) -1) (log 1/10)) (* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/ (atan2 im re) (pow (log 10) 2)) (atan2 im re) (log 1/10) (pow (log 10) 2))
13.0ms
re
@-inf
((log (exp (/ (* (atan2 im re) -1) (log 1/10)))) (* (atan2 im re) -1) (exp (/ (* (atan2 im re) -1) (log 1/10))) (/ (* (atan2 im re) -1) (log 1/10)) (* (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/ (atan2 im re) (pow (log 10) 2)) (atan2 im re) (log 1/10) (pow (log 10) 2))

simplify587.0ms (11%)

Memory
-4.1MiB live, 433.9MiB allocated; 49ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01636
12936
25936
314636
448136
5372236
0858236
Stop Event
iter limit
node limit
Counts
6 → 6
Calls
Call 1
Inputs
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (atan2 im re))
(exp (* -1 (/ (atan2 im re) (log 1/10))))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (pow (log 10) 2))
(atan2 im re)
Outputs
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(* -1 (atan2 im re))
(neg.f64 (atan2.f64 im re))
(exp (* -1 (/ (atan2 im re) (log 1/10))))
(exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (pow (log 10) 2))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(atan2 im re)
(atan2.f64 im re)

rewrite29.0ms (0.5%)

Memory
-21.5MiB live, 25.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02392
03484
16877
020377
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
10 → 52
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
(exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(atan2.f64 im re)
(log.f64 #s(literal 1/10 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(literal -1 binary64) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) #s(literal -1 binary64))
(neg.f64 (atan2.f64 im re))
(pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (-.f64 (*.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))) (*.f64 (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))) (-.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (-.f64 (*.f64 (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) (*.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))))
(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(+.f64 (cosh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (sinh.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))))
(log.f64 (pow.f64 #s(literal 10 binary64) #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))))
(atan2.f64 im re)
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(neg.f64 (neg.f64 (atan2.f64 im re)))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))
(*.f64 (fabs.f64 (log.f64 #s(literal 10 binary64))) (fabs.f64 (log.f64 #s(literal 10 binary64))))
(*.f64 (exp.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) (exp.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(pow.f64 (exp.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 #s(literal 10 binary64) (log.f64 #s(literal 10 binary64))))

eval6.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 109 to 203 computations (81.7% saved)

prune4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New56157
Fresh000
Picked112
Done033
Total57562
Accuracy
100.0%
Counts
62 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
98.8%
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
98.6%
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
80.0%
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))))
Compiler

Compiled 140 to 88 computations (37.1% saved)

regimes16.0ms (0.3%)

Memory
-19.8MiB live, 26.5MiB allocated; 3ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))))
(log.f64 (exp.f64 (/.f64 (*.f64 (atan2.f64 im re) #s(literal -1 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 #s(approx (/ (neg (atan2 im re)) (* (log 10) (neg (log 10)))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
Calls

4 calls:

9.0ms
re
2.0ms
im
2.0ms
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
2.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
99.8%1(atan2.f64 im re)
99.8%1(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
99.8%1re
99.8%1im
Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Calls

4 calls:

1.0ms
im
1.0ms
re
1.0ms
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
98.7%1(atan2.f64 im re)
98.7%1(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
98.7%1re
98.7%1im
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify38.0ms (0.7%)

Memory
-27.6MiB live, 17.0MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11713
22313
32713
42813
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

derivations89.0ms (1.7%)

Memory
6.1MiB live, 58.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
0911
11211
22311
34111
48811
042211
Stop Event
fuel
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess19.0ms (0.3%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 38 to 32 computations (15.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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