math.log/1 on complex, real part

Time bar (total: 4.7s)

analyze40.0ms (0.8%)

Memory
16.2MiB live, 95.5MiB allocated
Algorithm
1×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 11 to 6 computations (45.5% saved)

sample763.0ms (16.3%)

Memory
-25.8MiB live, 1 134.6MiB allocated
Samples
556.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 334.0ms
ival-hypot: 238.0ms (71.3% of total)
ival-log: 87.0ms (26.1% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess47.0ms (1%)

Memory
0.6MiB live, 79.2MiB allocated
Algorithm
1×egg-herbie
Rules
52×fmm-def
45×fma-define
15×distribute-lft-neg-in
15×neg-sub0
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028127
155127
2102127
3189127
4286127
5325127
6335127
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
Outputs
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))))
(log.f64 (hypot.f64 re im))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(neg.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))))
(neg.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))))
(log.f64 (hypot.f64 re im))
Symmetry

(abs re)

(abs im)

(sort re im)

explain95.0ms (2%)

Memory
31.3MiB live, 228.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1390-1(2.5015640855611617e-256 2.4461741759854086e-156)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-(*.f64 re re)
00-0-re
00-0-(*.f64 im im)
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
00-0-im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1230
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow123
↳(*.f64 re re)overflow19
↳(*.f64 im im)overflow123
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue150
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow15
↳(*.f64 re re)underflow101
↳(*.f64 im im)underflow15
Confusion
Predicted +Predicted -
+1380
-0118
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-00118
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-hypot: 9.0ms (35.7% of total)
ival-mult: 8.0ms (31.8% of total)
ival-log: 5.0ms (19.9% of total)
ival-add: 3.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (hypot.f64 re im))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.2%)

Memory
-35.3MiB live, 5.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(log.f64 (hypot.f64 re im))
Rules
2×fma-define
1×hypot-define
1×hypot-undefine
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
21738
31938
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
Outputs
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im

localize19.0ms (0.4%)

Memory
1.2MiB live, 39.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(log.f64 (hypot.f64 re im))
Samples
12.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 4.0ms (60% of total)
ival-log: 3.0ms (45% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (log.f64 (hypot.f64 re im))>
#<alt (hypot.f64 re im)>
Outputs
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
im
@0
(log (sqrt (+ (* re re) (* im im))))
1.0ms
re
@0
(log (sqrt (+ (* re re) (* im im))))
1.0ms
re
@inf
(log (sqrt (+ (* re re) (* im im))))
1.0ms
im
@inf
(log (sqrt (+ (* re re) (* im im))))
0.0ms
im
@-inf
(log (sqrt (+ (* re re) (* im im))))

rewrite202.0ms (4.3%)

Memory
4.8MiB live, 349.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
305×log1p-expm1-u
305×expm1-log1p-u
291×add-exp-log
278×add-log-exp
278×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
18230
287230
Stop Event
1×node limit
Counts
2 → 112
Calls
Call 1
Inputs
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
Outputs
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))
(/.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im))))) (-.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))
(log1p.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (hypot.f64 re im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 re im)) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (hypot.f64 re im))))

simplify78.0ms (1.7%)

Memory
11.2MiB live, 167.4MiB allocated
Algorithm
1×egg-herbie
Rules
272×fma-define
161×associate-*r*
159×+-commutative
138×associate-*l*
133×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04575598
110715598
243515598
Stop Event
1×unsound
Counts
160 → 182
Calls
Call 1
Inputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
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im
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re
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re
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im
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (hypot.f64 re im))))
Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(log.f64 re)
(neg.f64 (neg.f64 (log.f64 re)))
(+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(log.f64 im)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
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re
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re
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im
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im
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(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (hypot.f64 re im))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 re im))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 5/2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 5 binary64))))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(log.f64 (hypot.f64 re im))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))) (E.f64))
(log.f64 (hypot.f64 re im))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (hypot.f64 re im) #s(literal -1 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (hypot.f64 re im) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) #s(literal -1 binary64))))
(log.f64 (hypot.f64 re im))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (hypot.f64 re im))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(log.f64 (hypot.f64 re im))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(log.f64 (hypot.f64 re im))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))
(log.f64 (hypot.f64 re im))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64))) (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 1/4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(fabs.f64 (hypot.f64 re im))
(log.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(exp.f64 (log.f64 (hypot.f64 re im)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 re im))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (hypot.f64 re im))))
(log.f64 (hypot.f64 re im))

eval24.0ms (0.5%)

Memory
-16.3MiB live, 62.7MiB allocated
Compiler

Compiled 2 949 to 636 computations (78.4% saved)

prune24.0ms (0.5%)

Memory
-3.4MiB live, 75.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1784182
Fresh000
Picked011
Done000
Total1785183
Accuracy
100.0%
Counts
183 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
▶80.1%
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
▶99.3%
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓100.0%
(log.f64 (hypot.f64 re im))
▶99.3%
(log.f64 im)
Compiler

Compiled 54 to 39 computations (27.8% saved)

simplify146.0ms (3.1%)

Memory
29.5MiB live, 68.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 re im)
cost-diff0
(log.f64 (hypot.f64 re im))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
✓cost-diff0
(pow.f64 re #s(literal 2 binary64))
✓cost-diff0
(log.f64 im)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) im)
✓cost-diff64
(log.f64 (/.f64 #s(literal 1 binary64) im))
✓cost-diff256
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓cost-diff0
(log.f64 im)
Rules
772×fmm-def
753×div-sub
570×fma-define
495×distribute-lft-neg-in
488×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032477
167461
2145449
3338449
4699449
51520449
63009449
74734449
86389449
96852449
107276449
Stop Event
1×node limit
Calls
Call 1
Inputs
(log.f64 im)
im
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 im #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
#s(literal 1 binary64)
(log.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
Outputs
(log.f64 im)
im
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) im))
(neg.f64 (log.f64 im))
(/.f64 #s(literal 1 binary64) im)
#s(literal 1 binary64)
im
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 im))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 im #s(literal 2 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(log.f64 (hypot.f64 im re))
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 im re)))
#s(literal 1 binary64)
(log.f64 (hypot.f64 re im))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(+.f64 (log.f64 (hypot.f64 re im)) #s(literal 0 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 re im)
(hypot.f64 im re)
re
im

localize95.0ms (2%)

Memory
-40.1MiB live, 209.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
✓accuracy100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
accuracy100.0%
(log.f64 (hypot.f64 re im))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
✓accuracy97.2%
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
✓accuracy78.4%
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
✓accuracy78.2%
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) im)
✓accuracy100.0%
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) im))
✓accuracy100.0%
(log.f64 im)
Samples
59.0ms256×0valid
Compiler

Compiled 153 to 28 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-log: 9.0ms (23.9% of total)
ival-mult: 7.0ms (18.6% of total)
ival-div: 6.0ms (15.9% of total)
ival-pow2: 5.0ms (13.3% of total)
ival-hypot: 4.0ms (10.6% of total)
ival-add: 3.0ms (8% of total)
ival-pow: 2.0ms (5.3% of total)
...in/eval/compile.rkt:110:19: 1.0ms (2.7% of total)
ival-sub: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (1.7%)

Memory
32.8MiB live, 148.0MiB allocated
Counts
13 → 126
Calls
Call 1
Inputs
#<alt (log.f64 im)>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) im))>
#<alt (/.f64 #s(literal 1 binary64) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (log.f64 im)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 im))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (log.f64 im)>
#<alt (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (log.f64 re)>
#<alt (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (log.f64 im))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (log.f64 re))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (log.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
Calls

57 calls:

TimeVariablePointExpression
25.0ms
im
@0
(log im)
19.0ms
im
@-inf
(log im)
7.0ms
re
@0
(* -1/4 (/ (pow re 2) (pow im 4)))
6.0ms
im
@-inf
(* -1 (log (/ 1 im)))
6.0ms
im
@inf
(log im)

rewrite214.0ms (4.5%)

Memory
12.6MiB live, 122.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 041×log1p-expm1-u
201×expm1-log1p-u
194×add-exp-log
193×add-cube-cbrt
191×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031289
1458271
26370271
Stop Event
1×node limit
Counts
13 → 395
Calls
Call 1
Inputs
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) im)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(*.f64 (log.f64 im) #s(literal -1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (neg.f64 (sqrt.f64 (log.f64 im))))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 im)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (log.f64 im))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(neg.f64 (log.f64 im))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 im)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (log.f64 im))
(pow.f64 (log.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 im)) #s(literal 2 binary64))
(neg.f64 (log.f64 im))
(sqrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(log.f64 im)
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 im #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 im)))
(log1p.f64 (-.f64 im #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 im)))
(exp.f64 (*.f64 (log.f64 (log.f64 im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 im))
(+.f64 (log.f64 (sqrt.f64 im)) (log.f64 (sqrt.f64 im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (log.f64 (cbrt.f64 im)))
(-.f64 #s(literal 0 binary64) (log.f64 im))
(-.f64 (exp.f64 (log1p.f64 (log.f64 im))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(*.f64 (log.f64 im) #s(literal -1 binary64))
(*.f64 (log.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(*.f64 #s(literal 1 binary64) (log.f64 im))
(*.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (cbrt.f64 (log.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (neg.f64 (cbrt.f64 (log.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 im)))
(*.f64 (sqrt.f64 (log.f64 im)) (neg.f64 (sqrt.f64 (log.f64 im))))
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 im)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 im)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(*.f64 (hypot.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) (hypot.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))))
(*.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64))))) (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))) (pow.f64 im #s(literal 6 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal -2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))

simplify444.0ms (9.5%)

Memory
-25.3MiB live, 379.5MiB allocated
Algorithm
1×egg-herbie
Rules
798×fmm-def
498×associate-*r*
456×associate-*l*
282×fma-define
238×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082019889
1174218795
2699618769
Stop Event
1×node limit
Counts
521 → 609
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(log.f64 im)
(log.f64 im)
(log.f64 im)
(log.f64 im)
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
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(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 (*.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal -2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(log.f64 im)
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(neg.f64 (neg.f64 (log.f64 im)))
(log.f64 im)
(neg.f64 (neg.f64 (log.f64 im)))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (neg.f64 (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (neg.f64 (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (neg.f64 (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(-.f64 (neg.f64 (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im))))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(neg.f64 (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(neg.f64 (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(neg.f64 (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 im))
(neg.f64 (log.f64 im))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 im)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))
(log.f64 im)
(neg.f64 (neg.f64 (log.f64 im)))
(+.f64 (log.f64 im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -2 binary64))) (log.f64 im))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 im))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64))))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal -2 binary64)))) (log.f64 im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (neg.f64 (log.f64 re)))
(log.f64 re)
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 re))
(+.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (log.f64 re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 120 binary64)) (pow.f64 re #s(literal 6 binary64))))) (log.f64 re))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64))))
(-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) re)))
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(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 im) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 im) #s(literal -4 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal -2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 im #s(literal -2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal -2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(fabs.f64 (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(pow.f64 im #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 im #s(literal -2 binary64))

eval102.0ms (2.2%)

Memory
33.6MiB live, 184.2MiB allocated
Compiler

Compiled 18 910 to 3 048 computations (83.9% saved)

prune329.0ms (7%)

Memory
-5.8MiB live, 232.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New8521853
Fresh000
Picked134
Done011
Total8535858
Accuracy
100.0%
Counts
858 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
▶80.1%
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
✓99.3%
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓100.0%
(log.f64 (hypot.f64 re im))
✓99.3%
(log.f64 im)
Compiler

Compiled 52 to 37 computations (28.8% saved)

simplify20.0ms (0.4%)

Memory
-14.9MiB live, 24.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
cost-diff0
(pow.f64 re #s(literal 2 binary64))
cost-diff0
(log.f64 im)
Rules
122×fma-define
57×associate-*r*
42×associate-*l*
33×*-commutative
19×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022321
139317
293317
3202317
4329317
5404317
6420317
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
(/.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
Outputs
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
(/.f64 #s(literal 1/2 binary64) (*.f64 im im))
(/.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)

localize50.0ms (1.1%)

Memory
20.4MiB live, 95.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
✓accuracy97.2%
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
accuracy78.4%
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
✓accuracy78.2%
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
Samples
30.0ms256×0valid
Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 7.0ms (34% of total)
ival-mult: 3.0ms (14.6% of total)
ival-log: 3.0ms (14.6% of total)
ival-add: 2.0ms (9.7% of total)
ival-pow: 2.0ms (9.7% of total)
ival-pow2: 2.0ms (9.7% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))>
#<alt (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
re
@0
(* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
im
@-inf
(* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
re
@inf
(* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
im
@inf
(* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
re
@inf
(+ (* -1/4 (/ (pow re 2) (pow im 4))) (/ (/ 1/2 im) im))

rewrite177.0ms (3.8%)

Memory
-42.3MiB live, 104.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
839×log1p-expm1-u
839×expm1-log1p-u
390×fma-define
208×expm1-undefine
208×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019136
1254127
23829127
Stop Event
1×node limit
Counts
3 → 179
Calls
Call 1
Inputs
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
Outputs
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (hypot.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 re (*.f64 re (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 re (*.f64 re (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 re #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
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(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify274.0ms (5.8%)

Memory
18.2MiB live, 287.9MiB allocated
Algorithm
1×egg-herbie
Rules
498×associate-/r*
443×cancel-sign-sub-inv
334×associate-*r*
321×distribute-lft-neg-in
318×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044214609
1107213541
2349013358
Stop Event
1×node limit
Counts
239 → 277
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
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(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
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(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
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(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) im))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal 1 binary64) im))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 1 binary64) im)))
(*.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1/2 binary64) im))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) im) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 im)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 im)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) #s(literal 2 binary64))
(pow.f64 (*.f64 im (*.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) im) (neg.f64 im)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) im) im))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
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(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal 1 binary64) (neg.f64 im)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1/2 binary64) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) im) (cbrt.f64 im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 im) im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 im (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (cbrt.f64 im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 im) im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 im (cbrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 im)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 im)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cbrt.f64 im) im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 im (cbrt.f64 im))) (cbrt.f64 (pow.f64 im #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 im (cbrt.f64 im)))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (*.f64 im (*.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) im) (neg.f64 im)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) im) im))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))

eval57.0ms (1.2%)

Memory
-20.4MiB live, 135.1MiB allocated
Compiler

Compiled 12 191 to 1 814 computations (85.1% saved)

prune245.0ms (5.2%)

Memory
13.3MiB live, 132.0MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4321433
Fresh000
Picked101
Done044
Total4335438
Accuracy
100.0%
Counts
438 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
▶80.1%
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
✓99.3%
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓100.0%
(log.f64 (hypot.f64 re im))
✓99.3%
(log.f64 im)
Compiler

Compiled 52 to 38 computations (26.9% saved)

simplify34.0ms (0.7%)

Memory
-1.1MiB live, 52.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
✓cost-diff0
(pow.f64 im #s(literal 4 binary64))
cost-diff0
(pow.f64 re #s(literal 2 binary64))
cost-diff0
(log.f64 im)
Rules
130×fma-define
61×associate-*r*
49×associate-*l*
33×*-commutative
19×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023331
143327
299327
3225327
4371327
5432327
6445327
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))
(*.f64 re re)
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
(/.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)
Outputs
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)) (log.f64 im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(log.f64 im)
im
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
(*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
#s(literal -1/4 binary64)
(/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(*.f64 re re)
(pow.f64 re #s(literal 2 binary64))
(pow.f64 im #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
(/.f64 #s(literal 1/2 binary64) im)
#s(literal 1/2 binary64)

localize116.0ms (2.5%)

Memory
-16.4MiB live, 141.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 (/.f64 #s(literal 1/2 binary64) im) im)
✓accuracy97.2%
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
✓accuracy78.4%
(/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))
✓accuracy78.2%
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
Samples
94.0ms256×0valid
Compiler

Compiled 99 to 19 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-add: 66.0ms (78.3% of total)
ival-div: 5.0ms (5.9% of total)
ival-mult: 4.0ms (4.7% of total)
ival-log: 3.0ms (3.6% of total)
ival-pow: 2.0ms (2.4% of total)
ival-pow2: 2.0ms (2.4% of total)
...in/eval/compile.rkt:110:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (pow.f64 im #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))>
#<alt (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
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#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 2 binary64)))>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
im
@inf
(pow im 4)
0.0ms
re
@-inf
(* (pow re 2) (+ (* -1/4 (/ (* re re) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
re
@inf
(* (pow re 2) (+ (* -1/4 (/ (* re re) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
re
@0
(* (pow re 2) (+ (* -1/4 (/ (* re re) (pow im 4))) (/ (/ 1/2 im) im)))
0.0ms
im
@inf
(* (pow re 2) (+ (* -1/4 (/ (* re re) (pow im 4))) (/ (/ 1/2 im) im)))

rewrite154.0ms (3.3%)

Memory
-13.1MiB live, 99.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
857×log1p-expm1-u
857×expm1-log1p-u
403×fma-define
210×expm1-undefine
210×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020152
1263146
23899146
Stop Event
1×node limit
Counts
4 → 195
Calls
Call 1
Inputs
(pow.f64 im #s(literal 4 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im)))
(/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 4 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))) (-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (pow.f64 re #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re (hypot.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
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(fma.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) im) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 re (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))

simplify202.0ms (4.3%)

Memory
34.6MiB live, 306.8MiB allocated
Algorithm
1×egg-herbie
Rules
582×associate-/r*
339×associate-*r*
329×cancel-sign-sub-inv
327×distribute-lft-neg-in
320×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049016522
1115614838
2371214556
Stop Event
1×node limit
Counts
267 → 316
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
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(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
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(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))
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(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
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(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
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(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 re (*.f64 (*.f64 re (pow.f64 im #s(literal -4 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) im) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 #s(literal 1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))) #s(literal 1/16 binary64))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (*.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) im) (/.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1/2 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal -4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) im) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1 binary64) im) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 im)) (/.f64 (/.f64 #s(literal 1/2 binary64) im) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 im)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) im)) (cbrt.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal -4 binary64)) #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (cbrt.f64 (pow.f64 im #s(literal 8 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) re) (*.f64 re (pow.f64 im #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 4 binary64)))
(*.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))
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(fma.f64 (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64))))) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 8 binary64)))) (*.f64 #s(literal -1/4 binary64) (cbrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 re (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))

eval235.0ms (5%)

Memory
-12.3MiB live, 112.7MiB allocated
Compiler

Compiled 12 058 to 1 780 computations (85.2% saved)

prune56.0ms (1.2%)

Memory
-15.8MiB live, 105.1MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4231424
Fresh000
Picked101
Done044
Total4245429
Accuracy
100.0%
Counts
429 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
80.1%
(+.f64 (log.f64 im) (*.f64 (*.f64 re re) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
✓99.3%
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
✓100.0%
(log.f64 (hypot.f64 re im))
✓99.3%
(log.f64 im)
Compiler

Compiled 173 to 79 computations (54.3% saved)

regimes23.0ms (0.5%)

Memory
7.5MiB live, 46.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 (hypot.f64 re im))
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(+.f64 (log.f64 im) (*.f64 (*.f64 re re) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 re re) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) im) im))))
(+.f64 (log.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))))
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
Calls

7 calls:

5.0ms
im
3.0ms
re
3.0ms
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
3.0ms
(*.f64 im im)
3.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
100.0%1(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
100.0%1(+.f64 (*.f64 re re) (*.f64 im im))
100.0%1(*.f64 re re)
100.0%1(*.f64 im im)
Compiler

Compiled 46 to 28 computations (39.1% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 (hypot.f64 re im))
Outputs
(log.f64 (hypot.f64 re im))
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(log.f64 im)
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
Outputs
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
Calls

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
99.3%1re
99.3%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(log.f64 im)
Outputs
(log.f64 im)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
99.3%1re
99.3%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
1×egg-herbie
Rules
3×sub-neg
3×1-exp
3×*-commutative
3×mul-1-neg
3×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
12872
23272
33872
43972
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(log.f64 (hypot.f64 re im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)
Outputs
(-.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 re im))) #s(literal -1 binary64))
(log.f64 (hypot.f64 re im))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) im)))
(log.f64 im)

soundness169.0ms (3.6%)

Memory
4.0MiB live, 78.3MiB allocated
Rules
305×log1p-expm1-u
305×expm1-log1p-u
291×add-exp-log
278×add-log-exp
278×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
18230
287230
028127
155127
2102127
3189127
4286127
5325127
6335127
Stop Event
1×fuel
1×saturated
1×node limit
Compiler

Compiled 74 to 35 computations (52.7% saved)

preprocess143.0ms (3%)

Memory
-16.0MiB live, 102.3MiB allocated
Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 364 to 278 computations (23.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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