math.exp on complex, real part

Time bar (total: 12.4s)

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 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-exp: 0.0ms (0% of total)
ival-cos: 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)

sample761.0ms (6.1%)

Results
524.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 309.0ms
ival-cos: 178.0ms (57.5% of total)
ival-exp: 61.0ms (19.7% of total)
ival-mult: 61.0ms (19.7% of total)
const: 6.0ms (1.9% of total)
backward-pass: 3.0ms (1% of total)
Bogosity

preprocess20.0ms (0.2%)

Algorithm
egg-herbie
Rules
222×fma-define
184×sum3-define
124×fmsub-define
100×fnmadd-define
60×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
13934
27332
311032
419832
530832
637332
745832
866232
966232
055
165
065
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (exp re) (cos im))
Outputs
(* (exp re) (cos im))
(*.f64 (exp.f64 re) (cos.f64 im))
Call 2
Inputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(* (exp re) (cos (neg im)))
(neg (* (exp (neg re)) (cos im)))
(neg (* (exp re) (cos (neg im))))
(* (exp im) (cos re))
Outputs
(* (exp re) (cos im))
(* (exp (neg re)) (cos im))
(/ (cos im) (exp re))
(* (exp re) (cos (neg im)))
(* (exp re) (cos im))
(neg (* (exp (neg re)) (cos im)))
(/ (cos im) (neg (exp re)))
(neg (* (exp re) (cos (neg im))))
(fnmsub (exp re) (cos im) 0)
(* (exp im) (cos re))
Symmetry

(abs im)

explain57.0ms (0.5%)

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))
Results
41.0ms512×0valid
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 12.0ms (55.6% of total)
ival-mult: 5.0ms (23.2% of total)
ival-exp: 4.0ms (18.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% 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)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 im)
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) (cos.f64 im))
Rules
*-lowering-*.f32
*-lowering-*.f64
cos-lowering-cos.f32
*-commutative
exp-lowering-exp.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
1611
0611
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (exp re) (cos im))
(exp re)
re
(cos im)
im
Outputs
(* (exp re) (cos im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp re)
(exp.f64 re)
re
(cos im)
(cos.f64 im)
im

localize28.0ms (0.2%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 re)
accuracy100.0%
(cos.f64 im)
accuracy100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Results
22.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-cos: 6.0ms (61.5% of total)
ival-exp: 2.0ms (20.5% of total)
ival-mult: 2.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
3 → 48
Calls
Call 1
Inputs
#<alt (* (exp re) (cos im))>
#<alt (exp re)>
#<alt (cos im)>
Outputs
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))>
#<alt (+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))>
#<alt (+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt (* (cos im) (exp re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
re
@inf
(* (exp re) (cos im))
1.0ms
im
@0
(* (exp re) (cos im))
0.0ms
re
@0
(* (exp re) (cos im))
0.0ms
re
@-inf
(* (exp re) (cos im))
0.0ms
im
@inf
(* (exp re) (cos im))

rewrite24.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
*-lowering-*.f32
*-lowering-*.f64
cos-lowering-cos.f32
*-commutative
exp-lowering-exp.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
169
069
Stop Event
iter limit
saturated
Counts
3 → 4
Calls
Call 1
Inputs
(* (exp re) (cos im))
(exp re)
(cos im)
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(cos.f64 im)

simplify281.0ms (2.3%)

Algorithm
egg-herbie
Rules
1922×*-lowering-*.f32
1922×*-lowering-*.f64
1832×sum3-define
1604×fnmadd-define
1524×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064277
1186238
2588236
31525230
42065230
52744230
63592230
74440230
85870230
08026230
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
(* (cos im) (exp re))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
Outputs
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ (cos im) (* re (+ (cos im) (* 1/2 (* re (cos im))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ (cos im) (* re (+ (cos im) (* re (+ (* 1/6 (* re (cos im))) (* 1/2 (cos im)))))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* 1/24 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))
(+ (exp re) (* (pow im 2) (+ (* -1/2 (exp re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (exp re))) (* 1/24 (exp re)))))))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64)))))))))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
(* (cos im) (exp re))
(*.f64 (cos.f64 im) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 im im) #s(literal -1/720 binary64))))))))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)

eval7.0ms (0.1%)

Compiler

Compiled 358 to 49 computations (86.3% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453
Accuracy
100.0%
Counts
53 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
59.9%
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
68.4%
(exp.f64 re)
53.0%
(cos.f64 im)
Compiler

Compiled 28 to 21 computations (25% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 im)
cost-diff0
(+.f64 re #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
cost-diff0
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
cost-diff0
(exp.f64 re)
cost-diff0
(cos.f64 im)
Rules
142×*-lowering-*.f32
142×*-lowering-*.f64
66×fma-define
56×fma-lowering-fma.f32
56×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251
12846
26046
313246
416046
516646
617146
717246
017246
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(cos im)
im
(exp re)
re
(* (exp re) (+ 1 (* im (* im -1/2))))
(exp re)
re
(+ 1 (* im (* im -1/2)))
1
(* im (* im -1/2))
im
(* im -1/2)
-1/2
(* (+ re 1) (cos im))
(+ re 1)
re
1
(cos im)
im
Outputs
(cos im)
(cos.f64 im)
im
(exp re)
(exp.f64 re)
re
(* (exp re) (+ 1 (* im (* im -1/2))))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(exp re)
(exp.f64 re)
re
(+ 1 (* im (* im -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* im (* im -1/2))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
im
(* im -1/2)
(*.f64 im #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (+ re 1) (cos im))
(*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64)))
(+ re 1)
(+.f64 re #s(literal 1 binary64))
re
1
#s(literal 1 binary64)
(cos im)
(cos.f64 im)
im

localize59.0ms (0.5%)

Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 re #s(literal 1 binary64))
accuracy100.0%
(cos.f64 im)
accuracy99.9%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
accuracy100.0%
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 im #s(literal -1/2 binary64))
accuracy100.0%
(exp.f64 re)
accuracy95.4%
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
accuracy100.0%
(exp.f64 re)
accuracy100.0%
(cos.f64 im)
Results
43.0ms255×0valid
0.0ms1valid
Compiler

Compiled 54 to 13 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.7% of total)
ival-cos: 6.0ms (30.5% of total)
ival-add: 3.0ms (15.3% of total)
ival-exp: 2.0ms (10.2% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
8 → 120
Calls
Call 1
Inputs
#<alt (cos im)>
#<alt (exp re)>
#<alt (* (exp re) (+ 1 (* im (* im -1/2))))>
#<alt (+ 1 (* im (* im -1/2)))>
#<alt (* im (* im -1/2))>
#<alt (* (+ re 1) (cos im))>
#<alt (+ re 1)>
#<alt (* im -1/2)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt (cos im)>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (exp re)>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (* (exp re) (+ 1 (* -1/2 (pow im 2))))>
#<alt (exp re)>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (+ (exp re) (* -1/2 (* (pow im 2) (exp re))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* -1/2 (* (pow im 2) (exp re)))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt (* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (/ 1 (pow im 2)) 1/2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (cos im)>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (+ (cos im) (* re (cos im)))>
#<alt (* re (cos im))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (+ (cos im) (/ (cos im) re)))>
#<alt (* re (cos im))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))>
#<alt (+ 1 re)>
#<alt (+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))>
#<alt (+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt (* (cos im) (+ 1 re))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
im
@-inf
(* im -1/2)
1.0ms
re
@inf
(* (exp re) (+ 1 (* im (* im -1/2))))
1.0ms
im
@inf
(* (exp re) (+ 1 (* im (* im -1/2))))
0.0ms
re
@0
(* (exp re) (+ 1 (* im (* im -1/2))))
0.0ms
im
@0
(* (exp re) (+ 1 (* im (* im -1/2))))

rewrite253.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
3300×*-lowering-*.f32
3300×*-lowering-*.f64
1570×fma-lowering-fma.f32
1570×fma-lowering-fma.f64
1478×fmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
15133
238633
3357533
0819933
Stop Event
iter limit
node limit
Counts
8 → 254
Calls
Call 1
Inputs
(cos im)
(exp re)
(* (exp re) (+ 1 (* im (* im -1/2))))
(+ 1 (* im (* im -1/2)))
(* im (* im -1/2))
(* (+ re 1) (cos im))
(+ re 1)
(* im -1/2)
Outputs
(cos.f64 im)
(*.f64 (cos.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 im))
(exp.f64 re)
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) re))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) re)
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) re)
(*.f64 (exp.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(+.f64 (exp.f64 re) (*.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64)))) (exp.f64 re))
(-.f64 (/.f64 (exp.f64 (+.f64 re re)) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))))
(fma.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64))) (exp.f64 re))
(fma.f64 (exp.f64 re) #s(literal 1 binary64) (*.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64)))))
(fma.f64 (exp.f64 re) (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (exp.f64 re))
(fma.f64 #s(literal 1 binary64) (exp.f64 re) (*.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 im #s(literal -1/2 binary64)) (*.f64 im (exp.f64 re)) (exp.f64 re))
(fma.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (exp.f64 re) (exp.f64 re))
(fma.f64 (*.f64 im im) (*.f64 (exp.f64 re) #s(literal -1/2 binary64)) (exp.f64 re))
(fma.f64 (*.f64 im (exp.f64 re)) (*.f64 im #s(literal -1/2 binary64)) (exp.f64 re))
(fma.f64 (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64))) im (exp.f64 re))
(fma.f64 (*.f64 (exp.f64 re) (*.f64 im im)) #s(literal -1/2 binary64) (exp.f64 re))
(/.f64 (exp.f64 re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (exp.f64 (+.f64 re re))) (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))) (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64))))) (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (exp.f64 (+.f64 re re))))
(/.f64 (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64))))) (+.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (-.f64 (exp.f64 (+.f64 re re)) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64)))))) (neg.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (exp.f64 (+.f64 re re)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))) (neg.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (exp.f64 (+.f64 re re))) (-.f64 (*.f64 im (*.f64 im (*.f64 (exp.f64 re) #s(literal -1/2 binary64)))) (exp.f64 re)))
(/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (exp.f64 re) (+.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) (exp.f64 re)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (exp.f64 re)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (exp.f64 re)) (+.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (exp.f64 (+.f64 re re))) (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))) (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))))) #s(literal -1 binary64))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (exp.f64 re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (/.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))) (exp.f64 re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64))) (/.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 re #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))) (exp.f64 (*.f64 re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/4 binary64))) (exp.f64 (+.f64 re re))) (*.f64 (exp.f64 (+.f64 re re)) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (exp.f64 (+.f64 re re)))))
(*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64)))))))
(*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (*.f64 im im))) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 im im) (-.f64 (*.f64 (*.f64 im im) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 re (*.f64 re re)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 re #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re re)) (+.f64 re #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 re re) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 re #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))) (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)))) (+.f64 (/.f64 (*.f64 re re) (+.f64 re #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 re #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))) (+.f64 (*.f64 re (*.f64 re re)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(/.f64 (*.f64 (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))) (+.f64 #s(literal 1 binary64) (*.f64 re re)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re #s(literal 1 binary64)))
(*.f64 (+.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 re #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 re #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))))
(*.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 re re) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) re)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re re) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) (+.f64 (*.f64 re re) #s(literal -1 binary64))) (+.f64 re #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))) (+.f64 re #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re))))) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (*.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 (-.f64 #s(literal 1 binary64) re) (*.f64 re re)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) re))) (+.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) re))
(*.f64 (/.f64 (+.f64 (*.f64 re re) #s(literal -1 binary64)) (+.f64 (*.f64 re (*.f64 re re)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (-.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re (*.f64 re re)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re re)))))
(*.f64 (pow.f64 (/.f64 (+.f64 re #s(literal -1 binary64)) (+.f64 (*.f64 re (*.f64 re (*.f64 re re))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re re))))
(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 im #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) im)
(*.f64 (*.f64 im #s(literal -1/2 binary64)) #s(literal 1 binary64))

simplify229.0ms (1.9%)

Algorithm
egg-herbie
Rules
3420×*-lowering-*.f32
3420×*-lowering-*.f64
2308×+-lowering-+.f64
2308×+-lowering-+.f32
2072×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098756
1332620
21235616
35007602
47738602
08144602
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
(cos im)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(exp re)
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(exp re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* -1/2 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* -1/2 (pow im 2)))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(cos im)
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(+ (cos im) (* re (cos im)))
(* re (cos im))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (+ (cos im) (/ (cos im) re)))
(* re (cos im))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(+ 1 re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
(* (cos im) (+ 1 re))
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/24 (* -1/720 (pow im 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
(cos im)
(cos.f64 im)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) re))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (exp re) (+ 1 (* -1/2 (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(exp re)
(exp.f64 re)
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(+ (exp re) (* -1/2 (* (pow im 2) (exp re))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (exp.f64 re))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* -1/2 (* (pow im 2) (exp re)))
(*.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im (exp.f64 re))))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
(* (pow im 2) (+ (* -1/2 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (exp.f64 re))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(cos im)
(cos.f64 im)
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ (cos im) (* re (cos im)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* re (cos im))
(*.f64 (cos.f64 im) re)
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* re (+ (cos im) (/ (cos im) re)))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* re (cos im))
(*.f64 (cos.f64 im) re)
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* -1 (* re (+ (* -1 (cos im)) (* -1 (/ (cos im) re)))))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (+ re (* -1/2 (* (pow im 2) (+ 1 re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) re))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* 1/24 (* (pow im 2) (+ 1 re)))))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(+ 1 (+ re (* (pow im 2) (+ (* -1/2 (+ 1 re)) (* (pow im 2) (+ (* -1/720 (* (pow im 2) (+ 1 re))) (* 1/24 (+ 1 re))))))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64)))))))))))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
(* (cos im) (+ 1 re))
(*.f64 (cos.f64 im) (+.f64 #s(literal 1 binary64) re))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)
(* -1/2 im)
(*.f64 #s(literal -1/2 binary64) im)

eval45.0ms (0.4%)

Compiler

Compiled 7846 to 826 computations (89.5% saved)

prune48.0ms (0.4%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New39613409
Fresh000
Picked134
Done000
Total39716413
Accuracy
100.0%
Counts
413 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.2%
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
28.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
39.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
28.9%
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
26.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
28.0%
(+.f64 #s(literal 1 binary64) re)
30.3%
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
29.2%
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
54.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
37.5%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
36.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
24.8%
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
68.4%
(exp.f64 re)
53.0%
(cos.f64 im)
27.3%
#s(literal 1 binary64)
Compiler

Compiled 400 to 280 computations (30% saved)

simplify369.0ms (3%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
cost-diff0
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) re)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
cost-diff0
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
cost-diff0
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
Rules
7944×sum3-define
2624×*-lowering-*.f32
2624×*-lowering-*.f64
2412×+-lowering-+.f64
2412×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021231
167190
2225186
31064186
45051186
55684186
65818186
75836186
85842186
95844186
106812186
116862186
126898186
136906186
146910186
156910186
166954186
176954186
010657186
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
1
(* re (+ 1 (* re (+ 1/2 (* re 1/6)))))
re
(+ 1 (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
1
(+ 1 (* re (+ 1 (* 1/2 re))))
1
(* re (+ 1 (* 1/2 re)))
re
(+ 1 (* 1/2 re))
(* 1/2 re)
1/2
(* (+ 1 (* re (+ 1 (* 1/2 re)))) (+ 1 (* im (* im -1/2))))
(+ 1 (* re (+ 1 (* 1/2 re))))
1
(* re (+ 1 (* 1/2 re)))
re
(+ 1 (* 1/2 re))
(* 1/2 re)
1/2
(+ 1 (* im (* im -1/2)))
(* im (* im -1/2))
im
(* im -1/2)
-1/2
(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (+ 1 (* im (* im -1/2))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
1
(* re (+ 1 (* re (+ 1/2 (* re 1/6)))))
re
(+ 1 (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(+ 1 (* im (* im -1/2)))
(* im (* im -1/2))
im
(* im -1/2)
-1/2
Outputs
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* re (+ 1 (* re (+ 1/2 (* re 1/6)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
re
(+ 1 (* re (+ 1/2 (* re 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* re (+ 1/2 (* re 1/6)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(+ 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
re
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (+ 1 (* re (+ 1 (* 1/2 re)))) (+ 1 (* im (* im -1/2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
re
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1 (* im (* im -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
(* im (* im -1/2))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
im
(* im -1/2)
(*.f64 im #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (+ 1 (* im (* im -1/2))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* re (+ 1 (* re (+ 1/2 (* re 1/6)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
re
(+ 1 (* re (+ 1/2 (* re 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* re (+ 1/2 (* re 1/6)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(+ 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1 (* im (* im -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))
(* im (* im -1/2))
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
im
(* im -1/2)
(*.f64 im #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize118.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
accuracy99.9%
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
accuracy100.0%
(*.f64 im (*.f64 im #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 im #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) re)
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
accuracy100.0%
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) re)
accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
accuracy99.9%
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
Results
70.0ms256×0valid
Compiler

Compiled 234 to 22 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 20.0ms (61.8% of total)
ival-add: 7.0ms (21.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (12.4% of total)
const: 1.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
14 → 192
Calls
Call 1
Inputs
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))>
#<alt (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))>
#<alt (+ 1 (* re (+ 1/2 (* re 1/6))))>
#<alt (* re (+ 1/2 (* re 1/6)))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* (+ 1 (* re (+ 1 (* 1/2 re)))) (+ 1 (* im (* im -1/2))))>
#<alt (* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (+ 1 (* im (* im -1/2))))>
#<alt (* re 1/6)>
#<alt (+ 1/2 (* re 1/6))>
#<alt (* im -1/2)>
#<alt (* im (* im -1/2))>
Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt (* (pow re 2) (+ 1/2 (/ 1 re)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* 1/2 re))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* re (+ 1/2 (/ 1 re)))>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (* 1/2 re)>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))>
#<alt (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))>
#<alt (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))>
#<alt (* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))>
#<alt (* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))>
#<alt (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))>
#<alt (* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* (pow re 3) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re))))>
#<alt (* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (/ 1 (pow re 2))))))>
#<alt (* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))>
#<alt (* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))>
#<alt (* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (+ 1/2 (* 1/6 re))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 re)>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* re (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 im)>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
#<alt (* -1/2 (pow im 2))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
im
@0
(* (+ 1 (* re (+ 1 (* 1/2 re)))) (+ 1 (* im (* im -1/2))))
1.0ms
im
@0
(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (+ 1 (* im (* im -1/2))))
0.0ms
re
@-inf
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
0.0ms
re
@inf
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
0.0ms
re
@-inf
(* re 1/6)

rewrite4.5s (36%)

Algorithm
batch-egg-rewrite
Rules
3226×/-lowering-/.f32
3226×/-lowering-/.f64
3138×*-lowering-*.f32
3138×*-lowering-*.f64
2316×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021118
113495
2145093
0827293
Stop Event
iter limit
node limit
Counts
14 → 760
Calls
Call 1
Inputs
(+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6))))))
(* re (+ 1 (* re (+ 1/2 (* re 1/6)))))
(+ 1 (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* re (+ 1 (* 1/2 re)))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* (+ 1 (* re (+ 1 (* 1/2 re)))) (+ 1 (* im (* im -1/2))))
(* (+ 1 (* re (+ 1 (* re (+ 1/2 (* re 1/6)))))) (+ 1 (* im (* im -1/2))))
(* re 1/6)
(+ 1/2 (* re 1/6))
(* im -1/2)
(* im (* im -1/2))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 re (+.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) re (+.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) (+.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) re #s(literal 1 binary64))
(fma.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) #s(literal 1 binary64))))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))))
(*.f64 re #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) re)
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
(+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 re re) #s(literal 1/36 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
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(*.f64 im #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) im)
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(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(*.f64 (*.f64 im #s(literal -1/2 binary64)) im)
(*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 im im) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) im) (*.f64 im #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 im #s(literal -1/2 binary64))) im)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal -1/2 binary64))

simplify264.0ms (2.1%)

Algorithm
egg-herbie
Rules
5372×+-lowering-+.f64
5372×+-lowering-+.f32
4310×*-lowering-*.f32
4310×*-lowering-*.f64
1820×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01522149
15941672
227741566
092501566
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(* 1/2 re)
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re)))))) (* re (+ 1 (* 1/2 re)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* 1/2 re))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* 1/2 re))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* 1/2 re))) (pow im 2)))))
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/2 (pow im 2))))) (* 1/2 (+ 1 (* -1/2 (pow im 2)))))))))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re))))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (/ 1 (pow re 2))))))
(* (pow re 3) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* -1/2 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/2 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/2 (pow im 2)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/2 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/2 (pow im 2)))) (* -1 (/ (+ 1 (* -1/2 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/2 (pow im 2))))) re)) (* -1/6 (+ 1 (* -1/2 (pow im 2)))))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(+ 1 (+ (* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))) (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* -1/2 (* (pow im 2) (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* (pow im 2) (+ (* -1/2 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))) (+ (/ 1 (pow im 2)) (/ (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))) (pow im 2)))))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 im)
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
(* -1/2 (pow im 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
re
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
re
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* re (+ 1 (* 1/2 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* 1/2 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(+ 1 (* 1/2 re))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* re (+ 1/2 (/ 1 re)))
(+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (* -1/2 (pow im 2))))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(+ 1 (+ (* -1/2 (pow im 2)) (* re (+ 1 (+ (* -1/2 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/2 (pow im 2))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64)))))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* -1/2 (/ (pow im 2) (pow re 2))) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (+ (/ 1 re) (/ 1 (pow re 2)))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(* 1/2 (* (pow re 2) (+ 1 (* -1/2 (pow im 2)))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(* (pow re 2) (+ (* -1/2 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/2 (pow im 2)))) (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64)))))))
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eval226.0ms (1.8%)

Compiler

Compiled 67724 to 2949 computations (95.6% saved)

prune250.0ms (2%)

Pruning

44 alts after pruning (38 fresh and 6 done)

PrunedKeptTotal
New1443331476
Fresh358
Picked235
Done033
Total1448441492
Accuracy
100.0%
Counts
1492 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
32.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
34.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
32.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
40.2%
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
34.0%
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
30.8%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
30.1%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
31.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
17.3%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
28.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
30.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
28.8%
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
30.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
28.4%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
40.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
39.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
30.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
28.9%
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
26.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
28.0%
(+.f64 #s(literal 1 binary64) re)
37.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
23.4%
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
37.5%
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
30.3%
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
54.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
29.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
10.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
36.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
15.7%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
15.3%
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
14.7%
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
15.0%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
15.0%
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
14.6%
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
14.6%
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
14.6%
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
15.4%
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
68.4%
(exp.f64 re)
53.0%
(cos.f64 im)
27.3%
#s(literal 1 binary64)
Compiler

Compiled 1969 to 1110 computations (43.6% saved)

simplify134.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
cost-diff1152
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
cost-diff1152
(*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))
cost-diff1152
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
cost-diff0
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))
cost-diff0
(*.f64 im im)
cost-diff0
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
cost-diff0
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
Rules
2220×*-lowering-*.f32
2220×*-lowering-*.f64
2096×sum4-define
1672×+-lowering-+.f64
1672×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036312
1113268
2348256
31240235
43962235
08458235
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+ 1 re)
1
re
(* re (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(+ 1 re)
1
re
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
1
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(* im im)
im
(+ -1/2 (* im (* im 1/24)))
-1/2
(* im (* im 1/24))
(* im 1/24)
1/24
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
1
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
re
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(* (- 1/4 (* (* re re) 1/36)) re)
(- 1/4 (* (* re re) 1/36))
1/4
(* (* re re) 1/36)
(* re re)
1/36
(- 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(+ 1 (* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))))
1
(* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1)))
re
(/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))
(- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1)
(* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6)))))
(+ 1/2 (* re 1/6))
1/2
(* re 1/6)
1/6
(* re (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(- (* re (+ 1/2 (* re 1/6))) 1)
Outputs
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
1
#s(literal 1 binary64)
re
(* re (* re (+ 1/2 (* re 1/6))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* re (+ 1/2 (* re 1/6)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(+ 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
1
#s(literal 1 binary64)
re
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
1
#s(literal 1 binary64)
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* im im)
(*.f64 im im)
im
(+ -1/2 (* im (* im 1/24)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
-1/2
#s(literal -1/2 binary64)
(* im (* im 1/24))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(* im 1/24)
(*.f64 im #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
re
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (- 1/4 (* (* re re) 1/36)) re)
(*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(- 1/4 (* (* re re) 1/36))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))
1/4
#s(literal 1/4 binary64)
(* (* re re) 1/36)
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
(* re re)
(*.f64 re re)
1/36
#s(literal 1/36 binary64)
(- 1/2 (* re 1/6))
(-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1 (* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1)))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
re
(/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1)
(+.f64 (*.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6)))))
(*.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(+ 1/2 (* re 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* re 1/6)
(*.f64 re #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* re (* re (+ 1/2 (* re 1/6))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(* re (+ 1/2 (* re 1/6)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(- (* re (+ 1/2 (* re 1/6))) 1)
(+.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal -1 binary64))

localize185.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
accuracy99.9%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
accuracy69.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
accuracy99.9%
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re)
accuracy99.7%
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
accuracy92.3%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
accuracy99.9%
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))
accuracy99.8%
(*.f64 im (*.f64 im #s(literal 1/24 binary64)))
accuracy99.5%
(*.f64 im #s(literal 1/24 binary64))
accuracy100.0%
(+.f64 #s(literal 1 binary64) re)
accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
accuracy99.9%
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
accuracy99.9%
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
accuracy99.5%
(*.f64 re #s(literal 1/6 binary64))
Results
123.0ms256×0valid
Compiler

Compiled 364 to 37 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 45.0ms (60.3% of total)
ival-add: 10.0ms (13.4% of total)
...c/correct-round.rkt:119:19: 10.0ms (13.4% of total)
ival-sub: 5.0ms (6.7% of total)
ival-div: 4.0ms (5.4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))>
#<alt (+ 1 re)>
#<alt (* re (* re (+ 1/2 (* re 1/6))))>
#<alt (* re (+ 1/2 (* re 1/6)))>
#<alt (+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))>
#<alt (* (* im im) (+ -1/2 (* im (* im 1/24))))>
#<alt (* im im)>
#<alt (+ -1/2 (* im (* im 1/24)))>
#<alt (+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))>
#<alt (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))>
#<alt (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))>
#<alt (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))>
#<alt (+ 1 (* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))))>
#<alt (* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1)))>
#<alt (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))>
#<alt (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1)>
#<alt (* re 1/6)>
#<alt (* im 1/24)>
#<alt (* im (* im 1/24))>
#<alt (* (* re re) 1/36)>
#<alt (* (- 1/4 (* (* re re) 1/36)) re)>
#<alt (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6)))))>
Outputs
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt (+ 1 re)>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt re>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* re (+ 1 (/ 1 re)))>
#<alt (* 1/2 (pow re 2))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/2 (* 1/6 re)))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow im 2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* -1/2 (pow im 2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 4))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt (pow im 2)>
#<alt -1/2>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (- (* 1/24 (pow im 2)) 1/2)>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* 1/24 (pow im 2))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt (* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/2 re)>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* re (+ 1/2 (* 1/6 re)))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt 1>
#<alt (+ 1 re)>
#<alt (+ 1 (* re (+ 1 (* 1/2 re))))>
#<alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 re)))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 3))>
#<alt (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt (* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 re))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (+ 1 (* re (+ 1/2 (* 1/6 re))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* 1/6 (pow re 2))>
#<alt (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt (* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))>
#<alt -1>
#<alt (- (* 1/4 (pow re 2)) 1)>
#<alt (- (* (pow re 2) (+ 1/4 (* 1/6 re))) 1)>
#<alt (- (* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re))))) 1)>
#<alt (* 1/36 (pow re 4))>
#<alt (* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
#<alt (* (pow re 4) (- (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))) (/ 1 (pow re 4))))>
#<alt (* 1/36 (pow re 4))>
#<alt (* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
#<alt (* (pow re 4) (+ 1/36 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow re 2))) re)) 1/6) re))))>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/6 re)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 im)>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/24 (pow im 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/36 (pow re 2))>
#<alt (* 1/4 re)>
#<alt (* re (+ 1/4 (* -1/36 (pow re 2))))>
#<alt (* re (+ 1/4 (* -1/36 (pow re 2))))>
#<alt (* re (+ 1/4 (* -1/36 (pow re 2))))>
#<alt (* -1/36 (pow re 3))>
#<alt (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))>
#<alt (* -1/36 (pow re 3))>
#<alt (* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))>
#<alt (* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))>
#<alt (* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))>
#<alt (* 1/4 (pow re 2))>
#<alt (* (pow re 2) (+ 1/4 (* 1/6 re)))>
#<alt (* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))>
#<alt (* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))>
#<alt (* 1/36 (pow re 4))>
#<alt (* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
#<alt (* 1/36 (pow re 4))>
#<alt (* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
#<alt (* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1)
2.0ms
im
@0
(* (* im im) (+ -1/2 (* im (* im 1/24))))
0.0ms
re
@inf
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
0.0ms
im
@inf
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
0.0ms
re
@inf
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))

rewrite498.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
2838×/-lowering-/.f32
2838×/-lowering-/.f64
2480×*-lowering-*.f32
2480×*-lowering-*.f64
2104×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036205
1257146
22649143
08257143
Stop Event
iter limit
node limit
Counts
22 → 955
Calls
Call 1
Inputs
(+ (+ 1 re) (* re (* re (+ 1/2 (* re 1/6)))))
(+ 1 re)
(* re (* re (+ 1/2 (* re 1/6))))
(* re (+ 1/2 (* re 1/6)))
(+ 1 (* (* im im) (+ -1/2 (* im (* im 1/24)))))
(* (* im im) (+ -1/2 (* im (* im 1/24))))
(* im im)
(+ -1/2 (* im (* im 1/24)))
(+ 1 (* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))))
(* re (+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))))
(+ 1 (/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6))))
(/ (* (- 1/4 (* (* re re) 1/36)) re) (- 1/2 (* re 1/6)))
(+ 1 (* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))))
(* re (/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1)))
(/ (- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1) (- (* re (+ 1/2 (* re 1/6))) 1))
(- (* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6))))) 1)
(* re 1/6)
(* im 1/24)
(* im (* im 1/24))
(* (* re re) 1/36)
(* (- 1/4 (* (* re re) 1/36)) re)
(* (+ 1/2 (* re 1/6)) (* re (* re (+ 1/2 (* re 1/6)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 re (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)))
(+.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))
(+.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)) re)
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (/.f64 (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(-.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal 1 binary64) re (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(fma.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) re (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal -1 binary64))) re) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) re #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re re))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (-.f64 re #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))
(fma.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (*.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (*.f64 re (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (/.f64 (*.f64 re (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 re (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal -1 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) re)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1 binary64) re))) (*.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re (*.f64 re re))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))
(/.f64 (*.f64 (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
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(/.f64 (neg.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 re (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(pow.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(*.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 re (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) #s(literal 1 binary64)))
(*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 re re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(*.f64 (*.f64 re re) (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (*.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re re))
(*.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))))
(*.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))) (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) re)
(*.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) re)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal -1/216 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))

simplify267.0ms (2.2%)

Algorithm
egg-herbie
Rules
4470×*-lowering-*.f32
4470×*-lowering-*.f64
3444×+-lowering-+.f64
3444×+-lowering-+.f32
1490×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231911
13871673
211561578
337741556
083431556
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
1
(+ 1 re)
(+ 1 re)
(+ 1 re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 (* -1/2 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(* -1/2 (pow im 2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 4))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
(pow im 2)
-1/2
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(- (* 1/24 (pow im 2)) 1/2)
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* 1/24 (pow im 2))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
-1
(- (* 1/4 (pow re 2)) 1)
(- (* (pow re 2) (+ 1/4 (* 1/6 re))) 1)
(- (* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re))))) 1)
(* 1/36 (pow re 4))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(* (pow re 4) (- (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))) (/ 1 (pow re 4))))
(* 1/36 (pow re 4))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(* (pow re 4) (+ 1/36 (* -1 (/ (- (* -1 (/ (- 1/4 (/ 1 (pow re 2))) re)) 1/6) re))))
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/6 re)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 im)
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/24 (pow im 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/36 (pow re 2))
(* 1/4 re)
(* re (+ 1/4 (* -1/36 (pow re 2))))
(* re (+ 1/4 (* -1/36 (pow re 2))))
(* re (+ 1/4 (* -1/36 (pow re 2))))
(* -1/36 (pow re 3))
(* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* (pow re 3) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* -1/36 (pow re 3))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(* 1/4 (pow re 2))
(* (pow re 2) (+ 1/4 (* 1/6 re)))
(* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))
(* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))
(* 1/36 (pow re 4))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(* 1/36 (pow re 4))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* 1/2 (pow re 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/6 (pow re 3))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* 1/6 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/6 binary64)))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow im 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(+ 1 (* (pow im 2) (- (* 1/24 (pow im 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))))
(* 1/24 (pow im 4))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* 1/24 (pow im 4))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* (pow im 4) (- (+ 1/24 (/ 1 (pow im 4))) (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im)))))
(* -1/2 (pow im 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 im im))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* (pow im 2) (- (* 1/24 (pow im 2)) 1/2))
(*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))
(* 1/24 (pow im 4))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* 1/24 (pow im 4))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(* (pow im 4) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))))
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
(pow im 2)
(*.f64 im im)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(- (* 1/24 (pow im 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* 1/24 (pow im 2))
(*.f64 (*.f64 im im) #s(literal 1/24 binary64))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(* (pow im 2) (- 1/24 (* 1/2 (/ 1 (pow im 2)))))
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(*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(* -1 (* (pow re 3) (- 1/36 (* 1/4 (/ 1 (pow re 2))))))
(*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))
(* 1/4 (pow re 2))
(*.f64 re (*.f64 re #s(literal 1/4 binary64)))
(* (pow re 2) (+ 1/4 (* 1/6 re)))
(*.f64 (*.f64 re re) (+.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/4 binary64)))
(* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/4 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/36 binary64))))))
(* (pow re 2) (+ 1/4 (* re (+ 1/6 (* 1/36 re)))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/4 binary64) (*.f64 re (+.f64 #s(literal 1/6 binary64) (*.f64 re #s(literal 1/36 binary64))))))
(* 1/36 (pow re 4))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64)))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) re)))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) re) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) re) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))))
(* 1/36 (pow re 4))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64)))
(* (pow re 4) (+ 1/36 (* 1/6 (/ 1 re))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1/6 binary64) re)))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) re) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))))
(* (pow re 4) (+ 1/36 (+ (/ 1/4 (pow re 2)) (* 1/6 (/ 1 re)))))
(*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (+.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) re) (/.f64 #s(literal 1/4 binary64) (*.f64 re re)))))

eval242.0ms (2%)

Compiler

Compiled 50407 to 3379 computations (93.3% saved)

prune232.0ms (1.9%)

Pruning

46 alts after pruning (37 fresh and 9 done)

PrunedKeptTotal
New1485181503
Fresh141933
Picked235
Done066
Total1501461547
Accuracy
100.0%
Counts
1547 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
24.3%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
32.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
34.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
32.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
40.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
42.0%
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
31.7%
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
40.2%
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
40.2%
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
40.2%
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
34.0%
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
30.8%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
28.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
26.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
42.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
29.6%
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
27.8%
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
40.2%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
40.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
27.5%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
39.0%
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
28.9%
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
28.0%
(+.f64 #s(literal 1 binary64) re)
37.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
37.5%
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
30.3%
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
54.0%
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
29.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
36.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
15.7%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
15.3%
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
14.7%
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
23.3%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
15.0%
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
15.0%
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
14.6%
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
14.4%
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
15.4%
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
14.6%
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
15.4%
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
68.4%
(exp.f64 re)
53.0%
(cos.f64 im)
3.7%
re
27.3%
#s(literal 1 binary64)
Compiler

Compiled 2369 to 864 computations (63.5% saved)

regimes120.0ms (1%)

Counts
69 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Calls

5 calls:

33.0ms
re
21.0ms
(cos.f64 im)
20.0ms
im
19.0ms
(*.f64 (exp.f64 re) (cos.f64 im))
16.0ms
(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)

regimes96.0ms (0.8%)

Counts
68 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(*.f64 (exp.f64 re) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(*.f64 (exp.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
Outputs
(exp.f64 re)
(*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im))
(exp.f64 re)
Calls

4 calls:

27.0ms
(exp.f64 re)
20.0ms
(cos.f64 im)
19.0ms
re
19.0ms
im
Results
AccuracySegmentsBranch
94.1%3re
78.3%2im
94.1%3(exp.f64 re)
76.4%2(cos.f64 im)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes45.0ms (0.4%)

Counts
65 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)
(exp.f64 re)
Outputs
(exp.f64 re)
(cos.f64 im)
(exp.f64 re)
Calls

2 calls:

18.0ms
re
17.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
93.9%3re
93.9%3(exp.f64 re)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes73.0ms (0.6%)

Counts
64 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
(cos.f64 im)
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(cos.f64 im)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
Calls

3 calls:

27.0ms
im
18.0ms
re
17.0ms
(cos.f64 im)
Results
AccuracySegmentsBranch
61.4%2(cos.f64 im)
61.9%2im
76.7%4re
Compiler

Compiled 10 to 7 computations (30% saved)

regimes52.0ms (0.4%)

Counts
63 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) re) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (-.f64 re (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))) (-.f64 re (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) (-.f64 (*.f64 im (*.f64 im #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im im)) (*.f64 (*.f64 im (*.f64 im im)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (*.f64 (*.f64 im im) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) (-.f64 (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (*.f64 re (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (-.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
Calls

2 calls:

20.0ms
im
19.0ms
re
Results
AccuracySegmentsBranch
42.0%1im
51.7%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
49 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
(*.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 re re)))) re)) (-.f64 #s(literal 0 binary64) (*.f64 re (*.f64 re re))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (*.f64 re #s(literal 1/6 binary64)))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (*.f64 (*.f64 re (*.f64 re re)) (*.f64 re #s(literal 1/36 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 re re) (*.f64 (*.f64 re (*.f64 re #s(literal 1/2 binary64))) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))) (-.f64 re (*.f64 re (*.f64 re #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im im)) (*.f64 re (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(+.f64 (*.f64 (*.f64 re re) (+.f64 (*.f64 (/.f64 (*.f64 im im) re) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 (/.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (*.f64 im im)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))) (*.f64 re #s(literal -1/2 binary64)))))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64)))))
Calls

1 calls:

18.0ms
re
Results
AccuracySegmentsBranch
49.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re #s(literal 1/4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 re (/.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re)) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))))
(*.f64 (*.f64 re (*.f64 re re)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im (+.f64 #s(literal 1/24 binary64) (*.f64 im (*.f64 im #s(literal -1/720 binary64))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) re) re))) re)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/36 binary64)) re)) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) re) (-.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) (/.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))
Calls

1 calls:

11.0ms
re
Results
AccuracySegmentsBranch
48.0%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) (+.f64 #s(literal -1/2 binary64) (*.f64 im (*.f64 im #s(literal 1/24 binary64))))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
Calls

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
48.0%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
(*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64))))))
Calls

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
47.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(*.f64 (*.f64 re re) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im im) #s(literal -1/4 binary64))))
(*.f64 (+.f64 re #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im))))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
Calls

1 calls:

5.0ms
re
Results
AccuracySegmentsBranch
46.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) re)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))
Calls

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
47.8%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
Outputs
(*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
Calls

1 calls:

7.0ms
re
Results
AccuracySegmentsBranch
47.8%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
(*.f64 re (*.f64 re (*.f64 re #s(literal 1/6 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 im im)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 im im) #s(literal -1/2 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))
Calls

2 calls:

4.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
30.7%2im
40.1%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) re)
(*.f64 re (*.f64 re #s(literal 1/2 binary64)))
Calls

1 calls:

2.0ms
re
Results
AccuracySegmentsBranch
39.0%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
(+.f64 #s(literal 1 binary64) re)
Outputs
(+.f64 #s(literal 1 binary64) re)
Calls

2 calls:

3.0ms
re
2.0ms
im
Results
AccuracySegmentsBranch
28.0%1im
28.0%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -15.7b remaining (-33.7%)

Threshold costs -15.7b (-33.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
re
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
27.3%1im
27.3%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002238
0.0ms
0.9999999125882688
0.9999999986274339
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000000000002238
0.0ms
0.9999999125882688
0.9999999986274339
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch62.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
2.0464221149132562e+75
1.894526477929812e+80
9.0ms
1.1738590133912476e-21
1.2198447586731114e-20
15.0ms
-45162425517.53846
-72915897.2485874
Results
46.0ms368×0valid
Compiler

Compiled 1024 to 598 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 10.0ms (63.1% of total)
ival-exp: 3.0ms (18.9% of total)
ival-mult: 3.0ms (18.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
15.0ms
2.10205568573931e+105
5.126630327279551e+114
13.0ms
-45162425517.53846
-72915897.2485874
Results
18.0ms272×0valid
Compiler

Compiled 796 to 521 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 6.0ms (55.3% of total)
ival-exp: 2.0ms (18.4% of total)
ival-mult: 2.0ms (18.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-45162425517.53846
-72915897.2485874
Results
9.0ms128×0valid
Compiler

Compiled 300 to 209 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (55.3% of total)
ival-exp: 1.0ms (18.4% of total)
ival-mult: 1.0ms (18.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-45162425517.53846
-72915897.2485874
Results
10.0ms128×0valid
Compiler

Compiled 236 to 161 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-cos: 3.0ms (53.5% of total)
ival-exp: 1.0ms (17.8% of total)
ival-mult: 1.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-45162425517.53846
-72915897.2485874
Results
10.0ms128×0valid
Compiler

Compiled 236 to 161 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (56.2% of total)
ival-exp: 1.0ms (18.7% of total)
ival-mult: 1.0ms (18.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
-45162425517.53846
-72915897.2485874
Results
9.0ms128×0valid
Compiler

Compiled 220 to 145 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (57.3% of total)
ival-exp: 1.0ms (19.1% of total)
ival-mult: 1.0ms (19.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-45162425517.53846
-72915897.2485874
Results
8.0ms128×0valid
Compiler

Compiled 204 to 137 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-cos: 3.0ms (60.5% of total)
ival-exp: 1.0ms (20.2% of total)
ival-mult: 1.0ms (20.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.3790677296004012
18231698782.65269
17.0ms
-45162425517.53846
-72915897.2485874
Results
24.0ms288×0valid
Compiler

Compiled 336 to 245 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 10.0ms (64.1% of total)
ival-exp: 3.0ms (19.2% of total)
ival-mult: 2.0ms (12.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.3790677296004012
18231698782.65269
14.0ms
-45162425517.53846
-72915897.2485874
Results
21.0ms288×0valid
Compiler

Compiled 316 to 225 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 6.0ms (50.3% of total)
ival-exp: 3.0ms (25.2% of total)
ival-mult: 2.0ms (16.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.3790677296004012
18231698782.65269
Results
13.0ms160×0valid
Compiler

Compiled 172 to 129 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (57% of total)
ival-exp: 2.0ms (28.5% of total)
ival-mult: 1.0ms (14.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.3790677296004012
18231698782.65269
Results
11.0ms160×0valid
Compiler

Compiled 152 to 119 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-cos: 4.0ms (58.9% of total)
ival-exp: 2.0ms (29.5% of total)
ival-mult: 1.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
78×*-commutative_binary64
58×+-commutative_binary64
22×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110399
1178399
2204399
3229399
4240399
5244399
6245399
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 9007198804381029/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 9007198804381029/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 359999999999999978375135356310202439089055434495296246981161692469308935897088 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 219999999999999999657560027736194839616842994844825432059316125587137357336324857803578964512548406358441984 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))
(if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(if (<=.f64 re #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) #s(literal 9007198804381029/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (*.f64 (+.f64 re #s(literal 1 binary64)) (cos.f64 im)) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 9007198804381029/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (*.f64 (cos.f64 im) (+.f64 re #s(literal 1 binary64))) (exp.f64 re)))
(if (<=.f64 (exp.f64 re) #s(literal 9007198804381029/9007199254740992 binary64)) (exp.f64 re) (if (<=.f64 (exp.f64 re) #s(literal 1 binary64)) (cos.f64 im) (exp.f64 re)))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 359999999999999978375135356310202439089055434495296246981161692469308935897088 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) re) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 7975367974709495/664613997892457936451903530140172288 binary64)) (cos.f64 im) (if (<=.f64 re #s(literal 359999999999999978375135356310202439089055434495296246981161692469308935897088 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 re (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 im #s(literal -1/2 binary64))))) (+.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 219999999999999999657560027736194839616842994844825432059316125587137357336324857803578964512548406358441984 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 219999999999999999657560027736194839616842994844825432059316125587137357336324857803578964512548406358441984 binary64)) (+.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 re re) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re (*.f64 re re)) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re #s(literal 1/6 binary64)) (-.f64 (*.f64 re #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 re (*.f64 re re)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 im im) #s(literal -1/12 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) re) (/.f64 (*.f64 (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64)))) re) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (+.f64 re #s(literal 1 binary64)) (/.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal -1/6 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 (*.f64 re (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))) (+.f64 re #s(literal 1 binary64))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (*.f64 re #s(literal 1/6 binary64)))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 1/2 binary64))))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 8196551321814303/4503599627370496 binary64)) (+.f64 re #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 re #s(literal 1/6 binary64))) (*.f64 re re))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))
(if (<=.f64 re #s(literal -75000000 binary64)) (*.f64 (*.f64 im im) (*.f64 (*.f64 im im) #s(literal 1/24 binary64))) (if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re)))))
(if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(if (<=.f64 re #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 #s(literal 1/6 binary64) (*.f64 re re))))
(if (<=.f64 re #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 #s(literal 1 binary64) re) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal 2589569785738035/1125899906842624 binary64)) (+.f64 re #s(literal 1 binary64)) (*.f64 re (*.f64 re #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) re)
(+.f64 re #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.4s (19.4%)

Rules
5372×+-lowering-+.f64
5372×+-lowering-+.f32
4470×*-lowering-*.f32
4470×*-lowering-*.f64
4310×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064277
1186238
2588236
31525230
42065230
52744230
63592230
74440230
85870230
08026230
01231911
13871673
211561578
337741556
083431556
036205
1257146
22649143
08257143
01522149
15941672
227741566
092501566
021118
113495
2145093
0827293
098756
1332620
21235616
35007602
47738602
08144602
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1152 to 641 computations (44.4% saved)

preprocess86.0ms (0.7%)

Remove

(abs im)

Compiler

Compiled 862 to 256 computations (70.3% saved)

end0.0ms (0%)

Profiling

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