math.cos on complex, imaginary part

Time bar (total: 10.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample4.4s (42.4%)

Results
3.1s4022×1valid
860.0ms4234×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-exp: 950.0ms (43.7% of total)
ival-sin: 518.0ms (23.8% of total)
ival-mult: 383.0ms (17.6% of total)
ival-sub: 166.0ms (7.6% of total)
ival-neg: 79.0ms (3.6% of total)
backward-pass: 66.0ms (3% of total)
const: 12.0ms (0.6% of total)
Bogosity

preprocess403.0ms (3.9%)

Algorithm
egg-herbie
Rules
737×fmm-def
661×fma-define
248×distribute-lft-in
219×distribute-rgt-in
199×associate-*r/
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032316
180308
2261308
3887304
42161294
53587294
64377294
74915294
85023294
95023294
105023294
115023294
125055294
135085294
145085294
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (sin.f64 re) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 #s(literal 1/2 binary64) (exp.f64 im) (/.f64 #s(literal -1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 (neg.f64 re))) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 (neg.f64 im))) (exp.f64 (neg.f64 im)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 im)) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 im) (-.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(*.f64 (sin.f64 im) (fma.f64 (exp.f64 re) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
Symmetry

(negabs re)

(negabs im)

explain698.0ms (6.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
00-0-(exp.f64 im)
00-0-(neg.f64 im)
00-0-(exp.f64 (neg.f64 im))
00-0-(sin.f64 re)
00-0-im
00-0-(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
00-0-(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
00-0-re
00-0-#s(literal 1/2 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))cancellation1230
Confusion
Predicted +Predicted -
+990
-24133
Precision
0.8048780487804879
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9900
-240133
Precision?
0.8048780487804879
Recall?
1.0
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
195.0ms244×1valid
191.0ms268×0valid
Compiler

Compiled 98 to 42 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-exp: 197.0ms (76.6% of total)
ival-sin: 31.0ms (12.1% of total)
ival-mult: 9.0ms (3.5% of total)
const: 6.0ms (2.3% of total)
backward-pass: 6.0ms (2.3% of total)
ival-neg: 4.0ms (1.6% of total)
ival-sub: 4.0ms (1.6% of total)

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify96.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
Rules
932×fma-define
290×fmm-def
115×distribute-lft-in
88×distribute-rgt-in
85×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
016128
128128
259128
3131128
4261126
5426126
6687126
71129126
81789126
92454126
102550126
112653126
122667126
132667126
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
#s(literal 1/2 binary64)
(sin.f64 re)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize169.0ms (1.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy99.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
accuracy54.9%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
97.0ms122×1valid
57.0ms134×0valid
Compiler

Compiled 36 to 11 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-exp: 58.0ms (75% of total)
ival-sin: 7.0ms (9% of total)
ival-mult: 5.0ms (6.5% of total)
backward-pass: 3.0ms (3.9% of total)
ival-neg: 2.0ms (2.6% of total)
ival-sub: 2.0ms (2.6% of total)
const: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts
6 → 52
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sin.f64 re))>
#<alt (sin.f64 re)>
#<alt (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))>
#<alt (exp.f64 (neg.f64 im))>
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (exp.f64 im)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (exp.f64 (*.f64 #s(literal -1 binary64) im))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt #s(literal 1 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) im))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))>
Calls

21 calls:

TimeVariablePointExpression
20.0ms
re
@0
(sin re)
1.0ms
im
@inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
re
@-inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
re
@0
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))
1.0ms
re
@inf
(* (* 1/2 (sin re)) (- (exp (neg im)) (exp im)))

rewrite269.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
87×add-exp-log
87×add-log-exp
87×log1p-expm1-u
87×expm1-log1p-u
85×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01674
119774
2304074
Stop Event
unsound
Counts
6 → 58
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
(sin.f64 re)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(exp.f64 im)
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

simplify134.0ms (1.3%)

Algorithm
egg-herbie
Rules
705×associate-*r*
702×fma-define
617×associate-*l*
550×associate-+l+
531×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01932488
15142282
214502212
350252128
Stop Event
node limit
Counts
110 → 132
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/12 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/12 binary64)))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64))) #s(literal -1/12 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64)))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 re #s(literal 3 binary64)) re)
(*.f64 #s(literal -2 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/60 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2520 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2520 binary64) #s(literal -1/60 binary64)) #s(literal -1/3 binary64)) #s(literal -2 binary64)))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) im))
(+.f64 #s(literal 1 binary64) (neg.f64 im))
(-.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (-.f64 (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im))) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 im (fma.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) im)) #s(literal -1 binary64))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/6 binary64) im #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(exp.f64 (*.f64 #s(literal -1 binary64) im))
(exp.f64 (neg.f64 im))
(*.f64 #s(literal 1/2 binary64) (*.f64 re (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (fma.f64 #s(literal -1/12 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (*.f64 (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
(*.f64 re (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/12 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 #s(literal 1/240 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))))))
(*.f64 re (+.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 #s(literal -1/12 binary64) (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/10080 binary64) #s(literal 1/240 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(*.f64 re (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal -1/10080 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/12 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 im (*.f64 (sin.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 im #s(literal 2 binary64))) (sin.f64 re))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))) (neg.f64 (sin.f64 re))))
(-.f64 (*.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 im (sin.f64 re)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (sin.f64 re)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(*.f64 im (fma.f64 #s(literal -1 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (sin.f64 re) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (+.f64 #s(literal -1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))) (neg.f64 (sin.f64 re))))
(*.f64 im (fma.f64 (sin.f64 re) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)))))
(*.f64 im (*.f64 (sin.f64 re) (+.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/120 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 re) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (sin.f64 re)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) im)
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) im))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) im #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) im))))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal 1/6 binary64) im #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) re))))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 (*.f64 re #s(literal -2 binary64))) #s(literal -2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal -3 binary64))
(+.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)) #s(literal 3 binary64))
(+.f64 (sin.f64 re) #s(literal 4 binary64))
(*.f64 (sin.f64 re) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sin.f64 re))
(*.f64 (sin.f64 re) #s(literal -3 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 re re)) (cos.f64 (+.f64 re re))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) re))) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal -2 binary64)))
(+.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 re) #s(literal -2 binary64))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
(sqrt.f64 (sin.f64 re))
(fabs.f64 (sin.f64 re))
(log.f64 (exp.f64 (sin.f64 re)))
(sin.f64 re)
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (sin.f64 re))))
(cbrt.f64 (sin.f64 re))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(sin.f64 re)
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (log.f64 (sin.f64 re)))
(sin.f64 re)
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal -3 binary64)))
(pow.f64 (sin.f64 re) #s(literal -3 binary64))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)

eval16.0ms (0.1%)

Compiler

Compiled 2257 to 544 computations (75.9% saved)

prune167.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1275132
Fresh000
Picked101
Done000
Total1285133
Accuracy
99.9%
Counts
133 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
80.1%
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
50.3%
(*.f64 (neg.f64 im) (sin.f64 re))
50.5%
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.2%
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 102 to 78 computations (23.5% saved)

simplify305.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(*.f64 #s(literal 1/2 binary64) re)
cost-diff0
(exp.f64 im)
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(exp.f64 im)
cost-diff0
(neg.f64 im)
cost-diff0
(exp.f64 (neg.f64 im))
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(sin.f64 re)
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 (neg.f64 im) (sin.f64 re))
cost-diff0
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff0
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
cost-diff0
(sin.f64 re)
cost-diff0
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Rules
1303×fma-define
512×fmm-def
300×distribute-lft-neg-in
246×distribute-lft-in
165×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027442
152442
2119442
3306438
4624436
5947436
61680436
72521436
83384436
93785436
103886436
113938436
124472436
134553436
145081436
155081436
165081436
175087436
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 1/2 binary64) re)
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
Outputs
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(sin.f64 re)
re
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 im)
im
(sin.f64 re)
re
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (exp.f64 im) (/.f64 #s(literal -2 binary64) (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 8 binary64))
(fma.f64 #s(literal -8 binary64) (exp.f64 im) (/.f64 #s(literal 8 binary64) (exp.f64 im)))
(fma.f64 (exp.f64 im) #s(literal -8 binary64) (/.f64 #s(literal 8 binary64) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal 1/2 binary64)))
(*.f64 re (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) re)
(*.f64 re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)

localize335.0ms (3.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy54.9%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy54.9%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy54.9%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
accuracy100.0%
(sin.f64 re)
accuracy100.0%
(neg.f64 im)
accuracy99.8%
(*.f64 (neg.f64 im) (sin.f64 re))
accuracy100.0%
(sin.f64 re)
accuracy100.0%
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
accuracy99.5%
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy96.2%
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Results
259.0ms122×1valid
41.0ms134×0valid
Compiler

Compiled 120 to 22 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 169.0ms (68.3% of total)
ival-exp: 35.0ms (14.1% of total)
ival-sin: 19.0ms (7.7% of total)
ival-pow: 7.0ms (2.8% of total)
backward-pass: 6.0ms (2.4% of total)
ival-sub: 4.0ms (1.6% of total)
...c/correct-round.rkt:121:19: 4.0ms (1.6% of total)
ival-neg: 2.0ms (0.8% of total)
const: 1.0ms (0.4% of total)

series14.0ms (0.1%)

Counts
6 → 84
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))>
#<alt (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 (neg.f64 im) (sin.f64 re))>
#<alt (neg.f64 im)>
#<alt (*.f64 #s(literal 1/2 binary64) re)>
Outputs
#<alt (*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
Calls

24 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(* (sin re) (- (* (pow im 3) -1/6) im))
2.0ms
re
@inf
(* (sin re) (- (* (pow im 3) -1/6) im))
1.0ms
re
@0
(* (sin re) (- (* (pow im 3) -1/6) im))
1.0ms
im
@0
(* (neg im) (sin re))
1.0ms
im
@inf
(* (neg im) (sin re))

rewrite293.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
905×log1p-expm1-u
905×expm1-log1p-u
662×prod-diff
246×fma-define
166×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019118
1230102
22948102
Stop Event
node limit
Counts
6 → 228
Calls
Call 1
Inputs
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(neg.f64 im)
(*.f64 #s(literal 1/2 binary64) re)
Outputs
(+.f64 (*.f64 (sin.f64 re) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (sin.f64 re) im))
(+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (sin.f64 re)) (*.f64 (sin.f64 re) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))) #s(literal 1 binary64))
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(fma.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) im)
(fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) (pow.f64 im #s(literal 2 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) im im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 re) im))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))

simplify188.0ms (1.8%)

Algorithm
egg-herbie
Rules
405×fmm-def
386×distribute-lft-neg-out
335×associate-*r*
332×distribute-rgt-neg-out
311×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05238463
112758231
242098219
Stop Event
node limit
Counts
312 → 309
Calls
Call 1
Inputs
(*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) im)
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(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (+.f64 im im))
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) im)
(fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) (pow.f64 im #s(literal 2 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) im im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 im (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) im))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 re) im))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) im))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) im)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(neg.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im) re))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))) im))
(*.f64 re (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))) im))
(*.f64 re (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))))) im))
(*.f64 re (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/120 binary64))))) im))
(*.f64 re (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64)))))) im))
(*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/120 binary64))))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/6 binary64) im)))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))) (*.f64 #s(literal 1/120 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))) im))
(*.f64 re (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (pow.f64 re #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) #s(literal 1/120 binary64))))))) im))
(*.f64 re (-.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) im))
(*.f64 re (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (pow.f64 re #s(literal 4 binary64)))) im))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 (sin.f64 re) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 (*.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 re)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sin.f64 re)))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (sin.f64 re))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sin.f64 re)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (fma.f64 (sin.f64 re) #s(literal 1/6 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (pow.f64 im #s(literal 3 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (sin.f64 re))))
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(fma.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64))))
(fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) (*.f64 #s(literal 2 binary64) im))
(+.f64 (*.f64 im #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(/.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(/.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64) (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (+.f64 im im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (*.f64 #s(literal 2 binary64) im))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (neg.f64 (sqrt.f64 im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)) (fma.f64 (neg.f64 (cbrt.f64 im)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (-.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (sqrt.f64 im)))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (sqrt.f64 im)) (fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64)) (neg.f64 (sqrt.f64 im))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 im (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) im) (pow.f64 im #s(literal 2 binary64)) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 2 binary64))) im im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(pow.f64 (*.f64 im (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 3 binary64) (log.f64 im) (log.f64 #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 re) im))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 (*.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 re) im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(pow.f64 (*.f64 (sin.f64 re) im) #s(literal 1 binary64))
(*.f64 im (sin.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 3 binary64))
(*.f64 im (sin.f64 re))
(pow.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 im (sin.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 re) im)) #s(literal 2 binary64))
(*.f64 im (sin.f64 re))
(neg.f64 (*.f64 (sin.f64 re) im))
(*.f64 (sin.f64 re) (neg.f64 im))
(neg.f64 (*.f64 im (sin.f64 re)))
(*.f64 im (neg.f64 (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 2 binary64)))
(*.f64 im (sin.f64 re))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(*.f64 im (sin.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 re) im))))
(*.f64 im (sin.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 re) im) #s(literal 3 binary64)))
(*.f64 im (sin.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (sin.f64 re))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(*.f64 im (sin.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 re) im)))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 re) im)))
(*.f64 im (sin.f64 re))
(exp.f64 (log.f64 (*.f64 (sin.f64 re) im)))
(*.f64 im (sin.f64 re))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 re) im)) #s(literal 1 binary64)))
(*.f64 im (sin.f64 re))
(+.f64 #s(literal 0 binary64) im)
im
(-.f64 #s(literal 0 binary64) im)
(neg.f64 im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 im))
(*.f64 im #s(literal 1 binary64))
im
(*.f64 im #s(literal -1 binary64))
(neg.f64 im)
(*.f64 #s(literal 1 binary64) im)
im
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
im
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(neg.f64 im)
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
im
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(neg.f64 im)
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(neg.f64 im)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(neg.f64 im)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(neg.f64 im)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(neg.f64 im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64))) im)
(neg.f64 im)
(pow.f64 im #s(literal 1 binary64))
im
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
im
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
im
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
im
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
im
(log.f64 (exp.f64 im))
im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
im
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
im
(exp.f64 (log.f64 im))
im
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
im
(-.f64 (exp.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 re #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 re #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 re #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 re #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 re #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re #s(literal 1/2 binary64)))))
(*.f64 re #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 1/2 binary64))))
(*.f64 re #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))))
(*.f64 re #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 re #s(literal 1/2 binary64))

eval76.0ms (0.7%)

Compiler

Compiled 9215 to 1436 computations (84.4% saved)

prune98.0ms (0.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New56914583
Fresh000
Picked325
Done000
Total57216588
Accuracy
99.9%
Counts
588 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
49.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
26.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
49.6%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
50.1%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
51.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.3%
(*.f64 (neg.f64 im) (sin.f64 re))
50.3%
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
40.1%
(*.f64 (neg.f64 im) (log.f64 (exp.f64 (sin.f64 re))))
50.3%
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
29.7%
(*.f64 (neg.f64 im) re)
47.1%
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
39.9%
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
5.9%
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
14.7%
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
4.6%
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
Compiler

Compiled 317 to 234 computations (26.2% saved)

simplify152.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (sqrt.f64 im))
cost-diff0
(sqrt.f64 im)
cost-diff12928
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
cost-diff12928
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
cost-diff0
(log1p.f64 (sin.f64 re))
cost-diff0
(neg.f64 im)
cost-diff12800
(expm1.f64 (log1p.f64 (sin.f64 re)))
cost-diff12800
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
cost-diff-6272
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
cost-diff0
(exp.f64 im)
cost-diff0
(-.f64 #s(literal 27 binary64) (exp.f64 im))
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 (neg.f64 im) re)
cost-diff0
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
cost-diff0
(sqrt.f64 (*.f64 re #s(literal 1/2 binary64)))
cost-diff6528
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
Rules
655×fma-define
533×div-sub
338×unsub-neg
314×times-frac
309×sub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031418
162388
2131378
3338344
4847342
51767342
63384342
74518342
85544342
96551342
107388342
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (neg.f64 im) re)
(neg.f64 im)
im
re
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
#s(literal -2 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(neg.f64 im)
im
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(sin.f64 re)
re
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(sqrt.f64 im)
im
(neg.f64 (sqrt.f64 im))
(sin.f64 re)
re
Outputs
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (fma.f64 (exp.f64 im) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 im))))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 re #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
re
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
(exp.f64 (neg.f64 im))
(neg.f64 im)
im
(exp.f64 im)
(*.f64 (neg.f64 im) re)
(*.f64 re (neg.f64 im))
(neg.f64 im)
im
re
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(+.f64 #s(literal -54 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 im)))
(fma.f64 #s(literal 2 binary64) (exp.f64 im) #s(literal -54 binary64))
#s(literal -2 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 im (neg.f64 (+.f64 (sin.f64 re) #s(literal 0 binary64))))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 im)
im
(expm1.f64 (log1p.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) #s(literal 0 binary64))
(sin.f64 re)
(log1p.f64 (sin.f64 re))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) #s(literal 0 binary64))
re
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 im (neg.f64 (+.f64 (sin.f64 re) #s(literal 0 binary64))))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(neg.f64 im)
(sqrt.f64 im)
im
(neg.f64 (sqrt.f64 im))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(+.f64 (sin.f64 re) #s(literal 0 binary64))
re

localize223.0ms (2.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 re)
accuracy100.0%
(neg.f64 (sqrt.f64 im))
accuracy99.8%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
accuracy99.2%
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
accuracy100.0%
(neg.f64 im)
accuracy99.8%
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
accuracy99.8%
(expm1.f64 (log1p.f64 (sin.f64 re)))
accuracy99.6%
(log1p.f64 (sin.f64 re))
accuracy100.0%
(-.f64 #s(literal 27 binary64) (exp.f64 im))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(*.f64 (neg.f64 im) re)
accuracy100.0%
(neg.f64 im)
accuracy100.0%
(exp.f64 (neg.f64 im))
accuracy100.0%
(exp.f64 im)
accuracy99.2%
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
accuracy54.9%
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
160.0ms184×1valid
23.0ms72×0valid
Compiler

Compiled 123 to 29 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-exp: 26.0ms (20.3% of total)
ival-mult: 21.0ms (16.4% of total)
ival-log: 20.0ms (15.6% of total)
backward-pass: 15.0ms (11.7% of total)
ival-sin: 14.0ms (10.9% of total)
ival-sub: 13.0ms (10.1% of total)
ival-sqrt: 6.0ms (4.7% of total)
ival-pow: 5.0ms (3.9% of total)
ival-neg: 4.0ms (3.1% of total)
ival-add: 3.0ms (2.3% of total)
const: 2.0ms (1.6% of total)

series85.0ms (0.8%)

Counts
13 → 180
Calls
Call 1
Inputs
#<alt (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))>
#<alt (sqrt.f64 (*.f64 re #s(literal 1/2 binary64)))>
#<alt (*.f64 (neg.f64 im) re)>
#<alt (-.f64 #s(literal 27 binary64) (exp.f64 im))>
#<alt (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))>
#<alt (expm1.f64 (log1p.f64 (sin.f64 re)))>
#<alt (log1p.f64 (sin.f64 re))>
#<alt (*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))>
#<alt (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))>
#<alt (sqrt.f64 im)>
#<alt (neg.f64 (sqrt.f64 im))>
Outputs
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 im (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2520 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt #s(literal 26 binary64)>
#<alt (+.f64 #s(literal 26 binary64) (*.f64 #s(literal -1 binary64) im))>
#<alt (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1/2 binary64) im) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt #s(literal -52 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 52 binary64))>
#<alt (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))>
#<alt (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/12 binary64) re))) #s(literal 1/2 binary64)))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 im (*.f64 (sin.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 #s(literal -1 binary64) (sqrt.f64 im))>
#<alt (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
Calls

51 calls:

TimeVariablePointExpression
39.0ms
re
@inf
(log (+ 1 (sin re)))
19.0ms
re
@-inf
(log (+ 1 (sin re)))
5.0ms
re
@-inf
(pow (sqrt (* re 1/2)) 2)
2.0ms
im
@-inf
(* (sqrt im) (neg (sqrt im)))
2.0ms
im
@-inf
(- 27 (exp im))

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
188×associate-*r*
169×log1p-expm1-u
168×expm1-log1p-u
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031130
1448130
25979130
Stop Event
unsound
Counts
13 → 1131
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(sqrt.f64 (*.f64 re #s(literal 1/2 binary64)))
(*.f64 (neg.f64 im) re)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(expm1.f64 (log1p.f64 (sin.f64 re)))
(log1p.f64 (sin.f64 re))
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(sqrt.f64 im)
(neg.f64 (sqrt.f64 im))
Outputs
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
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#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)

simplify189.0ms (1.8%)

Algorithm
egg-herbie
Rules
869×unsub-neg
787×fma-define
476×distribute-lft-in
441×distribute-rgt-in
425×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02426147
15545076
215674995
335844970
467604970
Stop Event
node limit
Counts
1311 → 188
Calls
Call 1
Inputs
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 #s(literal -2 binary64) (*.f64 im (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))
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(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) im)) (exp.f64 im))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
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(*.f64 #s(literal -1 binary64) (*.f64 im re))
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(*.f64 #s(literal -1 binary64) (*.f64 im re))
#s(literal 26 binary64)
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(+.f64 #s(literal 26 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -1/6 binary64) im) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(literal -52 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 52 binary64))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
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(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
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re
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(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
(sin.f64 re)
re
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#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
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#s(literal 27 binary64)
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#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
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#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
Outputs
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 re #s(literal 1/2 binary64))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -1 binary64) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
(*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) re))
(*.f64 (*.f64 re #s(literal 1/2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal -2 binary64) (*.f64 im (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) im))
(*.f64 re (neg.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))
(*.f64 im (fma.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 im (*.f64 (*.f64 re #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 im (*.f64 (*.f64 re #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/60 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))))
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#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)
#s(literal -2779905883635712 binary64)
#s(literal -140608 binary64)
#s(literal -39364 binary64)
#s(literal -19682 binary64)
#s(literal -19628 binary64)
#s(literal -5408 binary64)
#s(literal -1456 binary64)
#s(literal -1352 binary64)
#s(literal -757 binary64)
#s(literal -728 binary64)
#s(literal -676 binary64)
#s(literal -54 binary64)
#s(literal -52 binary64)
#s(literal -51 binary64)
#s(literal -28 binary64)
#s(literal -27 binary64)
#s(literal -26 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/757 binary64)
#s(literal 1/28 binary64)
#s(literal 1/26 binary64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal 26 binary64)
#s(literal 19683/757 binary64)
#s(literal 729/28 binary64)
#s(literal 27 binary64)
#s(literal 28 binary64)
#s(literal 104 binary64)
#s(literal 676 binary64)
#s(literal 701 binary64)
#s(literal 702 binary64)
#s(literal 703 binary64)
#s(literal 728 binary64)
#s(literal 729 binary64)
#s(literal 730 binary64)
#s(literal 757 binary64)
#s(literal 784 binary64)
#s(literal 2704 binary64)
#s(literal 17576 binary64)
#s(literal 18252 binary64)
#s(literal 18928 binary64)
#s(literal 19682 binary64)
#s(literal 19683 binary64)
#s(literal 19684 binary64)
#s(literal 20412 binary64)
#s(literal 21196 binary64)
#s(literal 21952 binary64)
#s(literal 70304 binary64)
#s(literal 456976 binary64)
#s(literal 492128 binary64)
#s(literal 511732 binary64)
#s(literal 511813 binary64)
#s(literal 529984 binary64)
#s(literal 530657 binary64)
#s(literal 531440 binary64)
#s(literal 531441 binary64)
#s(literal 532171 binary64)
#s(literal 573049 binary64)
#s(literal 7311616 binary64)
#s(literal 13305032 binary64)
#s(literal 14328496 binary64)
#s(literal 308915776 binary64)
#s(literal 385828352 binary64)
#s(literal 387381124 binary64)
#s(literal 387420488 binary64)
#s(literal 387420489 binary64)
#s(literal 387440173 binary64)
#s(literal 387442441 binary64)
#s(literal 433798093 binary64)
#s(literal 19770609664 binary64)
#s(literal 5429503678976 binary64)
#s(literal 7624435282568 binary64)
#s(literal 7625597484986 binary64)
#s(literal 7625597484987 binary64)

eval61.0ms (0.6%)

Compiler

Compiled 4972 to 1146 computations (77% saved)

prune62.0ms (0.6%)

Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New3994403
Fresh099
Picked055
Done022
Total39920419
Accuracy
99.9%
Counts
419 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
10.3%
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
51.5%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
49.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
26.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
49.6%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
50.1%
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
51.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
50.3%
(*.f64 (neg.f64 im) (sin.f64 re))
50.3%
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
40.1%
(*.f64 (neg.f64 im) (log.f64 (exp.f64 (sin.f64 re))))
50.3%
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
29.7%
(*.f64 (neg.f64 im) re)
47.1%
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
21.2%
(*.f64 im re)
39.9%
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
5.9%
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
14.7%
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
4.6%
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
3.0%
#s(literal -52 binary64)
Compiler

Compiled 332 to 247 computations (25.6% saved)

simplify68.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff6528
(fma.f64 im im (*.f64 #s(literal 0 binary64) im))
cost-diff6656
(+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))
cost-diff13440
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
cost-diff13440
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
cost-diff-6272
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
cost-diff0
(exp.f64 im)
cost-diff0
(-.f64 #s(literal 27 binary64) (exp.f64 im))
cost-diff0
(*.f64 #s(literal -2 binary64) im)
cost-diff128
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
cost-diff0
(expm1.f64 (sin.f64 re))
cost-diff0
(neg.f64 im)
cost-diff12800
(log1p.f64 (expm1.f64 (sin.f64 re)))
cost-diff12800
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
Rules
1044×fma-define
690×unsub-neg
502×fmm-def
380×distribute-lft-in
287×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032242
170238
2140238
3307234
41217234
53417234
66461234
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(neg.f64 im)
im
(log1p.f64 (expm1.f64 (sin.f64 re)))
(expm1.f64 (sin.f64 re))
(sin.f64 re)
re
#s(literal -52 binary64)
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
#s(literal 8 binary64)
(*.f64 #s(literal -2 binary64) im)
#s(literal -2 binary64)
im
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
#s(literal 8 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))
(fma.f64 im im (*.f64 #s(literal 0 binary64) im))
(*.f64 #s(literal 0 binary64) im)
(sin.f64 re)
re
Outputs
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(neg.f64 im)
im
(log1p.f64 (expm1.f64 (sin.f64 re)))
(sin.f64 re)
(expm1.f64 (sin.f64 re))
(sin.f64 re)
re
#s(literal -52 binary64)
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -16 binary64) im)
(*.f64 im #s(literal -16 binary64))
#s(literal 8 binary64)
(*.f64 #s(literal -2 binary64) im)
(*.f64 im #s(literal -2 binary64))
#s(literal -2 binary64)
im
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(+.f64 #s(literal 216 binary64) (*.f64 #s(literal -8 binary64) (exp.f64 im)))
(fma.f64 #s(literal -8 binary64) (exp.f64 im) #s(literal 216 binary64))
(fma.f64 (exp.f64 im) #s(literal -8 binary64) #s(literal 216 binary64))
#s(literal 8 binary64)
(-.f64 #s(literal 27 binary64) (exp.f64 im))
#s(literal 27 binary64)
(exp.f64 im)
im
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64)))
(neg.f64 (pow.f64 im #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))
(fma.f64 im im #s(literal 0 binary64))
(*.f64 im im)
(fma.f64 im im (*.f64 #s(literal 0 binary64) im))
(fma.f64 im im #s(literal 0 binary64))
(*.f64 im im)
(*.f64 #s(literal 0 binary64) im)
#s(literal 0 binary64)
(sin.f64 re)
re

localize175.0ms (1.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 0 binary64) im)
accuracy100.0%
(sin.f64 re)
accuracy99.8%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
accuracy37.2%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
accuracy100.0%
(-.f64 #s(literal 27 binary64) (exp.f64 im))
accuracy100.0%
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
accuracy100.0%
(exp.f64 im)
accuracy100.0%
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
accuracy100.0%
(*.f64 #s(literal -2 binary64) im)
accuracy100.0%
(neg.f64 im)
accuracy99.8%
(expm1.f64 (sin.f64 re))
accuracy99.8%
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
accuracy99.7%
(log1p.f64 (expm1.f64 (sin.f64 re)))
Results
50.0ms53×2valid
44.0ms143×0valid
41.0ms60×1valid
Compiler

Compiled 126 to 30 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 15.0ms (17.6% of total)
ival-log: 14.0ms (16.5% of total)
ival-sin: 12.0ms (14.1% of total)
backward-pass: 10.0ms (11.8% of total)
ival-exp: 8.0ms (9.4% of total)
ival-pow: 8.0ms (9.4% of total)
ival-sub: 6.0ms (7.1% of total)
ival-add: 6.0ms (7.1% of total)
ival-div: 3.0ms (3.5% of total)
ival-neg: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)

series8.0ms (0.1%)

Counts
11 → 136
Calls
Call 1
Inputs
#<alt (*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))>
#<alt (log1p.f64 (expm1.f64 (sin.f64 re)))>
#<alt (expm1.f64 (sin.f64 re))>
#<alt (*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))>
#<alt (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))>
#<alt (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))>
#<alt (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))>
#<alt (fma.f64 im im (*.f64 #s(literal 0 binary64) im))>
#<alt (*.f64 #s(literal 0 binary64) im)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 re #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt (sin.f64 re)>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15 binary64) re) #s(literal 1/8 binary64)))))))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt (*.f64 #s(literal -16 binary64) im)>
#<alt #s(literal 208 binary64)>
#<alt (+.f64 #s(literal 208 binary64) (*.f64 #s(literal -8 binary64) im))>
#<alt (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))>
#<alt (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
Calls

39 calls:

TimeVariablePointExpression
0.0ms
im
@inf
(* -2 im)
0.0ms
im
@-inf
(* 8 (* -2 im))
0.0ms
im
@inf
(* 8 (* -2 im))
0.0ms
im
@0
(* 8 (* -2 im))
0.0ms
im
@inf
(* 8 (- 27 (exp im)))

rewrite161.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
876×log1p-expm1-u
513×expm1-log1p-u
170×add-exp-log
170×add-log-exp
170×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031167
1446119
25828119
Stop Event
node limit
Counts
11 → 269
Calls
Call 1
Inputs
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(log1p.f64 (expm1.f64 (sin.f64 re)))
(expm1.f64 (sin.f64 re))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal -2 binary64) im)
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))
(fma.f64 im im (*.f64 #s(literal 0 binary64) im))
(*.f64 #s(literal 0 binary64) im)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (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 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) im) im)
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 re))) #s(literal 1 binary64))
(*.f64 (sin.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 re))
(*.f64 (cbrt.f64 (sin.f64 re)) (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 re)))
(*.f64 (sqrt.f64 (sin.f64 re)) (sqrt.f64 (sin.f64 re)))
(pow.f64 (sin.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 re)))
(cbrt.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)))
(sin.f64 re)
(expm1.f64 (log1p.f64 (sin.f64 re)))
(exp.f64 (log.f64 (sin.f64 re)))
(exp.f64 (*.f64 (log.f64 (sin.f64 re)) #s(literal 1 binary64)))
(+.f64 (exp.f64 (sin.f64 re)) #s(literal -1 binary64))
(-.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 re)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 re))) (sqrt.f64 (expm1.f64 (sin.f64 re))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (exp.f64 (sin.f64 re)) (exp.f64 (sin.f64 re))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 re)) (exp.f64 (sin.f64 re))) #s(literal 1 binary64)) (+.f64 (exp.f64 (sin.f64 re)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (sin.f64 re)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 re)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 re))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -16 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -16 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -16 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 256 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -16 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -16 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal -16 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -16 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -16 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -16 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal -16 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 216 binary64) (*.f64 #s(literal 8 binary64) (neg.f64 (exp.f64 im))))
(+.f64 #s(literal 216 binary64) (*.f64 (neg.f64 (exp.f64 im)) #s(literal 8 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64)))) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(/.f64 (*.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (exp.f64 im) #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 #s(literal 729 binary64) (*.f64 (exp.f64 im) (+.f64 #s(literal 27 binary64) (exp.f64 im)))))
(/.f64 (*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (exp.f64 im) #s(literal 2 binary64))) #s(literal 8 binary64)) (+.f64 #s(literal 27 binary64) (exp.f64 im)))
(pow.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal 2 binary64)) #s(literal 64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 8 binary64)) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 im (sin.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sin.f64 re)))) #s(literal 1 binary64))
(/.f64 (sin.f64 re) (/.f64 #s(literal 1 binary64) im))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) (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 (/.f64 (*.f64 (sin.f64 re) (pow.f64 im #s(literal 3 binary64))) im) im)
(pow.f64 (*.f64 im (sin.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sin.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sin.f64 re))) #s(literal 2 binary64))
(neg.f64 (*.f64 im (sin.f64 re)))
(sqrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 re)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sin.f64 re)))))
(cbrt.f64 (pow.f64 (*.f64 im (sin.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sin.f64 re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 im))) (log.f64 (sqrt.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 im (/.f64 im im))
(*.f64 im (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 im (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (pow.f64 im #s(literal 3 binary64)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im im) im)
(*.f64 (/.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 im (pow.f64 im #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 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)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (neg.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 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(/.f64 im (/.f64 #s(literal 1 binary64) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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 (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 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 im im #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 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)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (neg.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 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(/.f64 im (/.f64 #s(literal 1 binary64) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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 (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 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)

simplify140.0ms (1.3%)

Algorithm
egg-herbie
Rules
830×fmm-def
480×cube-prod
476×exp-prod
408×times-frac
366×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04796477
19295891
243685885
Stop Event
node limit
Counts
405 → 279
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
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(expm1.f64 (log1p.f64 (*.f64 im (sin.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (log.f64 (*.f64 im (sin.f64 re))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sin.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) im)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 im))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 im))) (log.f64 (sqrt.f64 (exp.f64 im))))
(-.f64 #s(literal 0 binary64) im)
(-.f64 (exp.f64 (log1p.f64 im)) #s(literal 1 binary64))
(*.f64 im #s(literal 1 binary64))
(*.f64 im #s(literal -1 binary64))
(*.f64 im (/.f64 im im))
(*.f64 im (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 im (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 im (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) im)
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (pow.f64 im #s(literal 3 binary64)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) im)
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im im) im)
(*.f64 (/.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 im (pow.f64 im #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64))
(neg.f64 im)
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 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)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (neg.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 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(/.f64 im (/.f64 #s(literal 1 binary64) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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 (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 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 im im #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (pow.f64 im #s(literal 6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (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 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 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)))
(*.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im))
(*.f64 (neg.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 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(/.f64 im (/.f64 #s(literal 1 binary64) im))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) im)))
(/.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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 (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 (pow.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #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)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.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 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im re))
(neg.f64 (*.f64 im re))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 #s(literal 1/6 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (-.f64 (*.f64 im (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 2 binary64)))) im))
(fma.f64 re (neg.f64 im) (*.f64 (*.f64 im #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) im)))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))) (*.f64 im #s(literal 1/6 binary64))))))
(*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal -1/120 binary64) (*.f64 im #s(literal 1/6 binary64)))) im))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (*.f64 im #s(literal -1/120 binary64)) (pow.f64 re #s(literal 2 binary64)) (*.f64 im #s(literal 1/6 binary64))) (neg.f64 im)))
(*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) im) (*.f64 #s(literal 1/5040 binary64) (*.f64 im (pow.f64 re #s(literal 2 binary64))))))))))
(*.f64 re (fma.f64 #s(literal -1 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/120 binary64) im (*.f64 (*.f64 #s(literal 1/5040 binary64) im) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 re (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal 1/6 binary64) (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/120 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/5040 binary64))))))) im))
(*.f64 re (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im #s(literal -1/120 binary64) (*.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/5040 binary64)))) (*.f64 im #s(literal 1/6 binary64))) (neg.f64 im)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sin.f64 re)))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 im (neg.f64 (sin.f64 re)))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 re #s(literal 2 binary64)))))
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(-.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 0 binary64))
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(pow.f64 im #s(literal 2 binary64))
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(*.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)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
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(*.f64 (*.f64 (pow.f64 im #s(literal 6 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))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 im #s(literal 2 binary64)))))
(neg.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))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
#s(literal 0 binary64)

eval52.0ms (0.5%)

Compiler

Compiled 5120 to 1214 computations (76.3% saved)

prune71.0ms (0.7%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New3988406
Fresh088
Picked235
Done167
Total40125426
Accuracy
99.9%
Counts
426 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.4%
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
10.3%
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
24.1%
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
17.3%
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
51.5%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
49.0%
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
16.4%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))) (sin.f64 re))
26.0%
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 im im)) (sin.f64 re))
49.6%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
51.5%
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
36.3%
(*.f64 (neg.f64 im) (pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64)))
50.3%
(*.f64 (neg.f64 im) (sin.f64 re))
50.2%
(*.f64 (neg.f64 im) (log1p.f64 (/.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 re))))))
50.3%
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
40.1%
(*.f64 (neg.f64 im) (log.f64 (exp.f64 (sin.f64 re))))
50.3%
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
29.7%
(*.f64 (neg.f64 im) re)
47.1%
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
21.2%
(*.f64 im re)
5.9%
(*.f64 im #s(literal -16 binary64))
39.9%
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
14.7%
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
4.6%
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
2.3%
#s(literal 208 binary64)
3.0%
#s(literal -52 binary64)
Compiler

Compiled 532 to 308 computations (42.1% saved)

regimes61.0ms (0.6%)

Counts
32 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 im im)) (sin.f64 re))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log.f64 (exp.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) im))) (sin.f64 re))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im)))) (sin.f64 re))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 im))) (sin.f64 re))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 re)) (/.f64 (sin.f64 re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (neg.f64 im) (log1p.f64 (/.f64 (expm1.f64 (*.f64 (sin.f64 re) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 re))))))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Calls

6 calls:

11.0ms
(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
11.0ms
im
9.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms
(sin.f64 re)
9.0ms
re
Results
AccuracySegmentsBranch
84.5%2re
99.9%2im
99.9%3(*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
84.5%3(*.f64 #s(literal 1/2 binary64) (sin.f64 re))
84.5%3(sin.f64 re)
99.9%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes15.0ms (0.1%)

Counts
25 → 3
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 im im)) (sin.f64 re))
(*.f64 (neg.f64 im) (expm1.f64 (log1p.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log.f64 (exp.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (log1p.f64 (expm1.f64 (sin.f64 re))))
(*.f64 (neg.f64 im) (pow.f64 (sqrt.f64 (sin.f64 re)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 im))) (sin.f64 re))
Outputs
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Calls

2 calls:

8.0ms
im
6.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Results
AccuracySegmentsBranch
96.3%3im
87.0%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Outputs
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
Calls

1 calls:

12.0ms
im
Results
AccuracySegmentsBranch
96.0%3im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(*.f64 re (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))
(*.f64 #s(literal -2 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
(*.f64 #s(literal 8 binary64) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
Calls

2 calls:

6.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
6.0ms
im
Results
AccuracySegmentsBranch
86.5%2(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
86.5%2im
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im)))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
Calls

3 calls:

5.0ms
(sin.f64 re)
5.0ms
im
5.0ms
re
Results
AccuracySegmentsBranch
54.7%3(sin.f64 re)
50.3%1re
73.4%3im
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
(*.f64 (neg.f64 im) (sin.f64 re))
Outputs
(*.f64 (neg.f64 im) (sin.f64 re))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
Calls

1 calls:

4.0ms
im
Results
AccuracySegmentsBranch
70.6%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) im))))) #s(literal 52 binary64))
Outputs
(*.f64 (neg.f64 im) re)
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))
Calls

2 calls:

5.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
35.8%3re
44.7%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
Outputs
(*.f64 (neg.f64 im) re)
(+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64))))
Calls

1 calls:

3.0ms
im
Results
AccuracySegmentsBranch
39.4%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
Outputs
(*.f64 (neg.f64 im) re)
(-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64))
Calls

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
32.4%2re
33.2%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
(*.f64 (neg.f64 im) re)
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) im))
(*.f64 #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) im))
Outputs
(*.f64 (neg.f64 im) re)
(*.f64 im re)
Calls

1 calls:

3.0ms
im
Results
AccuracySegmentsBranch
32.6%2im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
(*.f64 im re)
Outputs
(*.f64 im re)
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
21.2%1re
21.2%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
(*.f64 im #s(literal -16 binary64))
Outputs
(*.f64 im #s(literal -16 binary64))
Calls

2 calls:

2.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
5.9%1im
5.9%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -52 binary64)
#s(literal 208 binary64)
Outputs
#s(literal -52 binary64)
Calls

2 calls:

2.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
3.0%1re
3.0%1im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1859061930638689
-1.0242420511730188e-7
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.0106970422201614e+102
5.646918779892863e+102
20.0ms
5.121210251840628e-8
0.09281975755451616
Results
21.0ms224×0valid
Compiler

Compiled 382 to 294 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 5.0ms (34.8% of total)
ival-exp: 3.0ms (20.9% of total)
ival-mult: 3.0ms (20.9% of total)
ival-sub: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.0106970422201614e+102
5.646918779892863e+102
0.0ms
16147.657926136133
16537.753271612804
Results
7.0ms80×0valid
Compiler

Compiled 128 to 104 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sin: 2.0ms (41.4% of total)
ival-exp: 1.0ms (20.7% of total)
ival-mult: 1.0ms (20.7% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
16147.657926136133
16537.753271612804
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch42.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
8.901719781089775e+94
2.0878904814198696e+98
19.0ms
0.1563330601355798
16147.657926136133
Results
26.0ms272×0valid
Compiler

Compiled 371 to 308 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 7.0ms (39.6% of total)
ival-exp: 4.0ms (22.6% of total)
ival-mult: 4.0ms (22.6% of total)
ival-sub: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
16147.657926136133
16537.753271612804
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch7.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
9.659795277722634e+98
1.125201428705556e+99
Results
4.0ms48×0valid
Compiler

Compiled 87 to 68 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (34.9% of total)
ival-sin: 1.0ms (34.9% of total)
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
2.2227252858001728e+140
8.115534470153119e+145
Results
13.0ms144×0valid
Compiler

Compiled 189 to 149 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 4.0ms (44.5% of total)
ival-mult: 2.0ms (22.3% of total)
ival-sub: 1.0ms (11.1% of total)
ival-exp: 1.0ms (11.1% of total)
ival-neg: 1.0ms (11.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
4.322774902804737e+139
2.2227252858001728e+140
Results
9.0ms96×0valid
Compiler

Compiled 120 to 92 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sin: 2.0ms (32.7% of total)
ival-exp: 1.0ms (16.4% of total)
ival-mult: 1.0ms (16.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.7898828970093872e+211
7.845360547070245e+211
Results
13.0ms96×0valid
Compiler

Compiled 96 to 68 computations (29.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-exp: 5.0ms (50.2% of total)
ival-sin: 2.0ms (20.1% of total)
ival-sub: 1.0ms (10% of total)
ival-mult: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
28×*-commutative
19×+-commutative
16×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091811
1137811
2165811
3184811
4194811
5196811
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)))
(if (<=.f64 im #s(literal 5188146770730811/144115188075855872 binary64)) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (if (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (if (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 206 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 179999999999999990478006211817762421318924898151082035170720297082071649918762747009127641562218496 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 1019999999999999976396236641327670453923833383640281115588355210321419369099224468555436091850620928 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 219999999999999983427128871176134175108191675419357139190140367062800447270376729141071804930891581083657315222800681314019035038685629251584 binary64)) (*.f64 (neg.f64 im) re) (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64)))
(if (<=.f64 im #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) (*.f64 (neg.f64 im) re) (*.f64 im re))
(*.f64 im re)
(*.f64 im #s(literal -16 binary64))
#s(literal -52 binary64)
Outputs
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)))
(if (<=.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 re))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)))
(if (<=.f64 im #s(literal 5188146770730811/144115188075855872 binary64)) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (if (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))))
(if (or (<=.f64 im #s(literal 5188146770730811/144115188075855872 binary64)) (not (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (*.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (*.f64 #s(literal 1/2 binary64) re)))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (if (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im))))
(if (or (<=.f64 im #s(literal 16500 binary64)) (not (<=.f64 im #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)))) (*.f64 (sin.f64 re) (-.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (*.f64 #s(literal 8 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))))
(if (<=.f64 im #s(literal 206 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 179999999999999990478006211817762421318924898151082035170720297082071649918762747009127641562218496 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 27 binary64) (exp.f64 im))) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 206 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (if (<=.f64 im #s(literal 179999999999999990478006211817762421318924898151082035170720297082071649918762747009127641562218496 binary64)) (*.f64 (-.f64 #s(literal 27 binary64) (exp.f64 im)) #s(literal -2 binary64)) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64))))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 16500 binary64)) (*.f64 (neg.f64 im) (sin.f64 re)) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 1019999999999999976396236641327670453923833383640281115588355210321419369099224468555436091850620928 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 #s(literal -4/3 binary64) im) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 1019999999999999976396236641327670453923833383640281115588355210321419369099224468555436091850620928 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im (-.f64 (*.f64 im #s(literal -4/3 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -4 binary64) im) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 33000000000000002689809682543546692754645463216716558299174833946991730604591390567302010847498364546250821178012683772457640170571328324343169024 binary64)) (*.f64 (neg.f64 im) re) (+.f64 #s(literal 208 binary64) (*.f64 im (-.f64 (*.f64 im #s(literal -4 binary64)) #s(literal 8 binary64)))))
(if (<=.f64 im #s(literal 219999999999999983427128871176134175108191675419357139190140367062800447270376729141071804930891581083657315222800681314019035038685629251584 binary64)) (*.f64 (neg.f64 im) re) (-.f64 (*.f64 im (+.f64 #s(literal 2 binary64) im)) #s(literal 52 binary64)))
(if (<=.f64 im #s(literal 219999999999999983427128871176134175108191675419357139190140367062800447270376729141071804930891581083657315222800681314019035038685629251584 binary64)) (*.f64 (neg.f64 im) re) (-.f64 (*.f64 im (+.f64 im #s(literal 2 binary64))) #s(literal 52 binary64)))
(if (<=.f64 im #s(literal 53999999999999998108117647339352158979572959631654177918948342441663359659474391090197410120661245556482578665748280371018691253265989886440553287095976979320316021824875734793570546070902379635919091742539776000 binary64)) (*.f64 (neg.f64 im) re) (*.f64 im re))
(*.f64 im re)
(*.f64 im #s(literal -16 binary64))
#s(literal -52 binary64)

soundness805.0ms (7.7%)

Rules
905×log1p-expm1-u
905×expm1-log1p-u
830×fmm-def
705×associate-*r*
702×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019118
1230102
22948102
05238463
112758231
242098219
01932488
15142282
214502212
350252128
01674
119774
2304074
04796477
19295891
243685885
Stop Event
fuel
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 540 to 194 computations (64.1% saved)

preprocess92.0ms (0.9%)

Remove

(negabs re)

Compiler

Compiled 948 to 470 computations (50.4% saved)

end0.0ms (0%)

Profiling

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