math.exp on complex, real part

Time bar (total: 2.1s)

analyze0.0ms (0%)

Algorithm
1×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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-cos, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (64.9%)

Results
1.0s6209×256valid
278.0ms2046×256infinite
0.0ms1×256infinite
Precisions
Click to see histograms. Total time spent on operations: 496.0ms
Operation ival-cos, time spent: 341.0ms, 69.0% of total-time
Operation ival-exp, time spent: 76.0ms, 15.0% of total-time
Operation ival-mult, time spent: 70.0ms, 14.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Bogosity

preprocess134.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
111×fma-define
30×fmm-def
23×sub-neg
16×associate-*r*
14×+-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 re)
00-0-im
00-0-re
00-0-(cos.f64 im)
00-0-(*.f64 (exp.f64 re) (cos.f64 im))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022163
145161
281155
3117155
4193155
5270155
6323155
7363155
8446155
9446155
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (cos.f64 re))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(*.f64 (exp.f64 re) (cos.f64 im))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(*.f64 (exp.f64 (neg.f64 re)) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 re) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 im) (cos.f64 re))
Symmetry

(abs im)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
Operation ival-cos, time spent: 14.0ms, 48.0% of total-time
Operation ival-mult, time spent: 10.0ms, 34.0% of total-time
Operation ival-exp, time spent: 4.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize155.0ms (7.5%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(cos.f64 im)
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
Operation ival-mult, time spent: 123.0ms, 93.0% of total-time
Operation ival-cos, time spent: 7.0ms, 5.0% of total-time
Operation ival-exp, time spent: 2.0ms, 2.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series1.0ms (0%)

Counts
1 → 4
Calls
Call 1
Inputs
#<alt (cos.f64 im)>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
im
@0
(cos im)
0.0ms
im
@-inf
(cos im)
0.0ms
im
@inf
(cos im)

rewrite252.0ms (12.2%)

Algorithm
1×batch-egg-rewrite
Rules
986×log1p-expm1-u
807×expm1-log1p-u
194×associate-*r*
158×associate-*l*
157×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1448
24588
351368
Stop Event
1×node limit
Counts
1 → 50
Calls
Call 1
Inputs
(cos.f64 im)
Outputs
(+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 5 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 im #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 im))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))

simplify79.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
375×distribute-lft-out
337×*-commutative
337×associate-+l-
333×fma-define
308×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01631180
12931164
27511155
332891106
Stop Event
1×node limit
Counts
54 → 78
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 5 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 im #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 im))
(log.f64 (exp.f64 (cos.f64 im)))
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 im)))
(log1p.f64 (expm1.f64 (cos.f64 im)))
(exp.f64 (log.f64 (cos.f64 im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(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 -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/720 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal -1 binary64))
(cos.f64 im)
(+.f64 #s(literal 0 binary64) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 (+.f64 im #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (+.f64 im #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 #s(literal 1 binary64) im)) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) im)) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 im)))))
(-.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(*.f64 (cos.f64 im) (log.f64 (E.f64)))
(cos.f64 im)
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(cos.f64 im)
(*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)))
(cos.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)))
(cos.f64 im)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(cos.f64 im)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cos.f64 im)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 5 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64))))
(cos.f64 im)
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (cos.f64 im))))
(cos.f64 im)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cos.f64 im))
(cos.f64 im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 5/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 im)) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(cos.f64 im)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 5 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 5 binary64))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cos.f64 im)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 5 binary64)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 im))))
(cos.f64 im)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 2 binary64)) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64))) (pow.f64 (cos.f64 im) #s(literal 1/6 binary64)))
(cos.f64 im)
(/.f64 (sqrt.f64 (+.f64 (cos.f64 (*.f64 im #s(literal 2 binary64))) (cos.f64 #s(literal 0 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 im) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 (cos.f64 im) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 2 binary64) (cos.f64 im))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 2 binary64) (cos.f64 im)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (cos.f64 im)) (+.f64 #s(literal 2 binary64) (cos.f64 im)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) (+.f64 (cos.f64 im) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (cos.f64 im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(cos.f64 im)
(pow.f64 (cos.f64 im) #s(literal 1 binary64))
(cos.f64 im)
(pow.f64 (cbrt.f64 (cos.f64 im)) #s(literal 3 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(cos.f64 im)
(pow.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 im)
(pow.f64 (sqrt.f64 (cos.f64 im)) #s(literal 2 binary64))
(cos.f64 im)
(pow.f64 (E.f64) (log.f64 (cos.f64 im)))
(cos.f64 im)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cos.f64 im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (cos.f64 im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cos.f64 im)))) (sqrt.f64 (log.f64 (cos.f64 im))))
(sqrt.f64 (pow.f64 (cos.f64 im) #s(literal 2 binary64)))
(cos.f64 im)
(fabs.f64 (cos.f64 im))
(cos.f64 im)
(log.f64 (exp.f64 (cos.f64 im)))
(cos.f64 im)
(cbrt.f64 (pow.f64 (cos.f64 im) #s(literal 3 binary64)))
(cos.f64 im)
(expm1.f64 (log1p.f64 (cos.f64 im)))
(cos.f64 im)
(log1p.f64 (expm1.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (log.f64 (cos.f64 im)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 im))) #s(literal 3 binary64)))
(cos.f64 im)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 im))) #s(literal 1/3 binary64)))
(cos.f64 im)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 im))) #s(literal 2 binary64)))
(cos.f64 im)

eval21.0ms (1%)

Compiler

Compiled 1075 to 572 computations (46.8% saved)

prune10.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh000
Picked011
Done000
Total77279
Accuracy
100.0%
Counts
79 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
▶71.5%
(*.f64 (exp.f64 re) #s(literal 1 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

localize32.0ms (1.6%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 2.0ms, 41.0% of total-time
Operation ival-exp, time spent: 2.0ms, 41.0% of total-time
Operation const, time spent: 1.0ms, 20.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
✓71.5%
(*.f64 (exp.f64 re) #s(literal 1 binary64))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

3.0ms
re
1.0ms
im
1.0ms
(cos.f64 im)
1.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (cos.f64 im))
100.0%1(exp.f64 re)
100.0%1(cos.f64 im)
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 re) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
re
1.0ms
im
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
71.5%1re
71.5%1im
71.5%1(exp.f64 re)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×*-commutative
1×*-rgt-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
12029
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(exp.f64 re)
Compiler

Compiled 11 to 8 computations (27.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.3%)

Remove

(abs im)

Compiler

Compiled 74 to 50 computations (32.4% saved)

Profiling

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