math.exp on complex, imaginary part

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
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 7 to 7 computations (0% saved)

sample1.3s (14.7%)

Memory
22.4MiB live, 1 298.8MiB allocated
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 658.0ms
ival-sin: 249.0ms (37.8% of total)
ival-mult: 218.0ms (33.1% of total)
ival-exp: 182.0ms (27.6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

explain95.0ms (1.1%)

Memory
15.1MiB live, 111.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (sin.f64 im))
00-0-(sin.f64 im)
00-0-re
00-0-(exp.f64 re)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-exp: 13.0ms (45.2% of total)
ival-sin: 12.0ms (41.7% of total)
ival-mult: 3.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess167.0ms (1.9%)

Memory
14.1MiB live, 287.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13829
211527
340227
4160827
055
085
1125
2265
3675
42785
522375
090725
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify170.0ms (2%)

Memory
-32.0MiB live, 261.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 im)
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) (sin.f64 im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
11211
22611
36711
427811
5223711
0907211
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 re)
re
(sin.f64 im)
im

localize41.0ms (0.5%)

Memory
10.2MiB live, 56.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 im)
accuracy0.0
(exp.f64 re)
accuracy0.0078125
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
16.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (61.2% of total)
ival-exp: 2.0ms (20.4% of total)
ival-mult: 2.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
3 → 18
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
Calls

6 calls:

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

simplify240.0ms (2.8%)

Memory
-26.5MiB live, 253.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071192
1274181
21040169
34901163
08290143
Stop Event
iter limit
node limit
Counts
18 → 17
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) im)

rewrite199.0ms (2.3%)

Memory
27.5MiB live, 217.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
089
1129
2409
32939
442909
088819
Stop Event
iter limit
node limit
iter limit
Counts
3 → 135
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (sin.f64 im)) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (sinh.f64 re) (cosh.f64 re)) (sinh.f64 re)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (sin.f64 im)) (+.f64 (pow.f64 (*.f64 (-.f64 (sinh.f64 re) (cosh.f64 re)) (sinh.f64 re)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (sinh.f64 re) (cosh.f64 re)) (sinh.f64 re)) (-.f64 (*.f64 (-.f64 (sinh.f64 re) (cosh.f64 re)) (sinh.f64 re)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (pow.f64 (cosh.f64 re) #s(literal 4 binary64))))
(*.f64 (/.f64 (sin.f64 im) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 im) (-.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 re)) (*.f64 #s(literal 4 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(*.f64 (/.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (/.f64 (sin.f64 im) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 (*.f64 (*.f64 (exp.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re))) (sin.f64 im)) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 re)) (sin.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (sin.f64 im)) (neg.f64 (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (sinh.f64 re) (*.f64 #s(literal 4 binary64) (cosh.f64 re))) (sin.f64 im)) #s(literal 4 binary64))
(/.f64 (*.f64 (sin.f64 im) (*.f64 (exp.f64 re) (-.f64 (sinh.f64 re) (cosh.f64 re)))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (sin.f64 im) (neg.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 4 binary64) (sinh.f64 re) (*.f64 #s(literal 4 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re))))))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (sin.f64 im))) (neg.f64 (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 im) (exp.f64 re)) (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re))))) (neg.f64 (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sin.f64 im) #s(literal 2 binary64)) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (sin.f64 im)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (*.f64 (sin.f64 im) (exp.f64 re)) (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))) (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (sinh.f64 re)) (sin.f64 im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64))))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(fma.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (sin.f64 im) (*.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) (/.f64 (sin.f64 im) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (*.f64 (sin.f64 im) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))))))
(fma.f64 (sin.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (neg.f64 (neg.f64 (sin.f64 im))) (sinh.f64 re)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (sin.f64 im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))) (/.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))))
(-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (cosh.f64 re)) (sin.f64 im)))
(-.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (cosh.f64 re)))
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(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(exp.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64)))
(exp.f64 re)
(+.f64 (+.f64 (sinh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 re)) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 re)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (sinh.f64 re)) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (exp.f64 (neg.f64 re)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (sinh.f64 re)))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(sin.f64 im)

eval60.0ms (0.7%)

Memory
1.8MiB live, 56.1MiB allocated
Compiler

Compiled 3 240 to 506 computations (84.4% saved)

prune9.0ms (0.1%)

Memory
-22.1MiB live, 22.4MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1457152
Fresh000
Picked011
Done000
Total1458153
Accuracy
100.0%
Counts
153 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
65.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
49.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
68.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
48.8%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 145 to 123 computations (15.2% saved)

simplify126.0ms (1.5%)

Memory
8.1MiB live, 242.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff0
(sin.f64 im)
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
cost-diff0
(exp.f64 re)
cost-diff0
(*.f64 (exp.f64 re) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
cost-diff0
(sin.f64 im)
cost-diff0
#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff0
(neg.f64 re)
cost-diff0
(exp.f64 (neg.f64 re))
cost-diff0
(sin.f64 im)
cost-diff1
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022107
036107
155107
2101106
3291106
41066106
57494106
08044106
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(sin.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im
Outputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(sin.f64 im)
im
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im

localize94.0ms (1.1%)

Memory
6.3MiB live, 155.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy0.0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy17.301286254378148
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) re)
accuracy0.0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy17.454014496161022
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy0.0
(exp.f64 re)
accuracy0.015625
(*.f64 (exp.f64 re) im)
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy0.0
(sin.f64 im)
accuracy17.432237303581015
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0.0
(sin.f64 im)
accuracy0.0
(neg.f64 re)
accuracy0.0
(exp.f64 (neg.f64 re))
accuracy0.01171875
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
Samples
64.0ms193×0valid
9.0ms63×0exit
Compiler

Compiled 80 to 18 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-add: 36.0ms (61.3% of total)
ival-exp: 7.0ms (11.9% of total)
ival-sin: 7.0ms (11.9% of total)
ival-mult: 6.0ms (10.2% of total)
ival-div: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
15 → 43
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(sin.f64 im)
(exp.f64 (neg.f64 re))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(* im (exp re))
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
im
@inf
((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms
re
@inf
((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms
re
@-inf
((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
2.0ms
re
@0
((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))
1.0ms
im
@-inf
((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1))

simplify161.0ms (1.9%)

Memory
10.2MiB live, 150.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150447
1555398
22043376
37237372
08449327
Stop Event
iter limit
node limit
Counts
43 → 41
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(* im (exp re))
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(* -1 re)
(neg.f64 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
im
(+ im (* im re))
(fma.f64 re im im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(+ 1 re)
(-.f64 re #s(literal -1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(/ (sin im) (exp (neg re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(exp re)
(exp.f64 re)
re
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(/ (sin im) (exp (* -1 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(/ im (exp (neg re)))
(*.f64 (exp.f64 re) im)
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (exp.f64 re)) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 re))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (exp.f64 re)) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (pow.f64 im #s(literal 4 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 re))) im)

rewrite765.0ms (8.9%)

Memory
-135.8MiB live, 350.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02289
03689
19289
250888
3479488
0826088
Stop Event
iter limit
node limit
iter limit
Counts
15 → 328
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(sin.f64 im)
(exp.f64 (neg.f64 re))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (sin.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))
(*.f64 (/.f64 (sin.f64 im) #s(literal -1 binary64)) (neg.f64 (exp.f64 re)))
(*.f64 (/.f64 (neg.f64 (sin.f64 im)) #s(literal 1 binary64)) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 im)) (exp.f64 (neg.f64 re)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (sin.f64 im)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))))
(/.f64 (*.f64 (sin.f64 im) #s(literal 1 binary64)) (exp.f64 (neg.f64 re)))
(/.f64 (*.f64 (sin.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (*.f64 (sin.f64 im) (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (*.f64 (sin.f64 im) (neg.f64 (exp.f64 re))))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (sinh.f64 re) (*.f64 (cosh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sinh.f64 re) (sin.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 (neg.f64 re)) (sin.f64 im)))
(-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)))
(+.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(/.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64))
(/.f64 (sin.f64 im) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 im)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64) (*.f64 (cos.f64 (+.f64 (PI.f64) im)) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (neg.f64 (neg.f64 im)))
(sin.f64 (neg.f64 (+.f64 (PI.f64) im)))
(sin.f64 (+.f64 (neg.f64 im) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (PI.f64) im) (PI.f64)))
(sin.f64 im)
(-.f64 (*.f64 (cos.f64 im) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (cos.f64 (+.f64 (PI.f64) im)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 im)) #s(literal 1 binary64)))
(-.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64))))
(cos.f64 (neg.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) im) (PI.f64)))
(cos.f64 (+.f64 (neg.f64 im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (+.f64 (PI.f64) im) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64)) (*.f64 (cos.f64 im) #s(literal 0 binary64)))
(+.f64 (*.f64 (neg.f64 (sin.f64 im)) #s(literal -1 binary64)) (*.f64 (cos.f64 (+.f64 (PI.f64) im)) #s(literal 0 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(*.f64 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) re)
(pow.f64 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal -1 binary64))
(pow.f64 (E.f64) (neg.f64 re))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)))))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (neg.f64 re))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 re))) (sinh.f64 (neg.f64 re)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal 1 binary64) (neg.f64 re))
(*.f64 (neg.f64 re) #s(literal 1 binary64))
(*.f64 re #s(literal -1 binary64))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(/.f64 (*.f64 #s(literal 1 binary64) im) (exp.f64 (neg.f64 re)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) im) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (*.f64 im #s(literal 1 binary64)) (exp.f64 (neg.f64 re)))
(/.f64 (*.f64 im (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 re) im) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 re) im) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 re) im) (*.f64 (sinh.f64 re) im)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 re) im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 re) im) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 re) im) (*.f64 (sinh.f64 re) im)))))
(fma.f64 (sinh.f64 re) im (*.f64 (cosh.f64 re) im))
(fma.f64 (cosh.f64 re) im (*.f64 (sinh.f64 re) im))
(fma.f64 im (sinh.f64 re) (*.f64 (cosh.f64 re) im))
(fma.f64 im (cosh.f64 re) (*.f64 (sinh.f64 re) im))
(-.f64 (*.f64 (cosh.f64 re) im) (*.f64 (sinh.f64 (neg.f64 re)) im))
(-.f64 (*.f64 (cosh.f64 re) im) (*.f64 (neg.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) im) (*.f64 (sinh.f64 re) im))
(+.f64 (*.f64 (sinh.f64 re) im) (*.f64 (cosh.f64 re) im))
(*.f64 (pow.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (sinh.f64 re) (exp.f64 re) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) re)
(pow.f64 (E.f64) re)
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (+.f64 re re)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
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(fma.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 re re) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) re)) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64))))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) re) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(fma.f64 re (exp.f64 (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))

eval62.0ms (0.7%)

Memory
18.3MiB live, 152.3MiB allocated
Compiler

Compiled 10 126 to 1 580 computations (84.4% saved)

prune29.0ms (0.3%)

Memory
-13.6MiB live, 48.0MiB allocated
Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New4499458
Fresh022
Picked055
Done011
Total44917466
Accuracy
100.0%
Counts
466 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
65.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
38.3%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
49.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
32.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
14.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
68.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
34.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
28.7%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
48.8%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
31.8%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
28.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
31.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 419 to 308 computations (26.5% saved)

simplify137.0ms (1.6%)

Memory
36.1MiB live, 219.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff0
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
cost-diff0
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
cost-diff0
(fma.f64 re im im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 re im im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
cost-diff0
(neg.f64 re)
cost-diff0
(exp.f64 (neg.f64 re))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
cost-diff3
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037250
058248
1103244
2240244
3730244
42694244
08573238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
#s(literal 1 binary64)
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
(*.f64 re im)
re
im
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(exp.f64 re)
#s(literal 1 binary64)
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 re im im)
(fma.f64 im re im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im) re im))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im) re im)
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
(fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)
(*.f64 re im)
(*.f64 im re)
re
im
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im

localize132.0ms (1.5%)

Memory
-8.8MiB live, 125.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
accuracy17.301286254378148
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
accuracy30.327355240702094
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy17.170644698859412
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0.0078125
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
accuracy0.03515625
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
accuracy17.28136304469448
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
accuracy0.0
(fma.f64 re im im)
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy17.423813585487007
#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy0.0
(neg.f64 re)
accuracy0.0
(exp.f64 (neg.f64 re))
accuracy0.0078125
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
Samples
55.0ms193×0valid
25.0ms63×0exit
Compiler

Compiled 146 to 33 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 19.0ms (30.1% of total)
ival-sin: 15.0ms (23.7% of total)
ival-exp: 14.0ms (22.1% of total)
ival-add: 9.0ms (14.2% of total)
const: 4.0ms (6.3% of total)
ival-div: 2.0ms (3.2% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-24.0MiB live, 28.8MiB allocated
Counts
22 → 72
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
(exp.f64 (neg.f64 re))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(sin.f64 im)
Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(* 1/2 (pow re 2))
1/2
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(/ 1 (exp (neg re)))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(exp 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))))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 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)) (/ 1 (pow re 2)))))
(/ 1 (exp (* -1 re)))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -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)))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
im
@inf
((/ 1 (exp (neg re))) (* (/ 1 (exp (neg re))) (sin im)) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im))
3.0ms
re
@-inf
((/ 1 (exp (neg re))) (* (/ 1 (exp (neg re))) (sin im)) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im))
3.0ms
re
@inf
((/ 1 (exp (neg re))) (* (/ 1 (exp (neg re))) (sin im)) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im))
2.0ms
im
@-inf
((/ 1 (exp (neg re))) (* (/ 1 (exp (neg re))) (sin im)) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im))
2.0ms
re
@0
((/ 1 (exp (neg re))) (* (/ 1 (exp (neg re))) (sin im)) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (sin im))

simplify180.0ms (2.1%)

Memory
38.0MiB live, 229.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216692
1791643
22871610
08161539
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(+ im (* 1/2 (* im re)))
(* 1/2 (pow re 2))
1/2
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(/ 1 (exp (neg re)))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(exp 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))))))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 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)) (/ 1 (pow re 2)))))
(/ 1 (exp (* -1 re)))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -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)))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (*.f64 #s(literal -1/6 binary64) (sin.f64 im)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(* -1 re)
(neg.f64 re)
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(+ im (* 1/2 (* im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(/ 1 (exp (neg re)))
(exp.f64 re)
(/ (sin im) (exp (neg re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* 1/2 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re)
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* 1/2 (* im re))
(*.f64 (*.f64 im re) #s(literal 1/2 binary64))
(* re (+ (* 1/2 im) (/ im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(/ 1 (exp (* -1 re)))
(exp.f64 re)
(/ (sin im) (exp (* -1 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal 1/2 binary64))) re) #s(literal 1/6 binary64)))
(/ im (exp (neg re)))
(*.f64 (exp.f64 re) im)
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im)
(* im (+ 1 (* 1/2 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im)
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/6 binary64))) im)
(* -1 (* im (- (* -1 re) 1)))
(*.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) (neg.f64 im))
(* -1 (* im (- (* -1/2 re) 1)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) (neg.f64 im))

rewrite211.0ms (2.5%)

Memory
-32.2MiB live, 300.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037226
058224
1200220
21294220
08224214
Stop Event
iter limit
node limit
iter limit
Counts
22 → 327
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
(exp.f64 (neg.f64 re))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(sin.f64 im)
Outputs
(*.f64 (neg.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 re))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))) #s(literal -1 binary64))
(pow.f64 (exp.f64 re) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 re) (cosh.f64 re)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 re) (cosh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 re) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 re))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))))
(-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(exp.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64)))
(exp.f64 re)
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(+.f64 (cosh.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64))) (sinh.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
(*.f64 (/.f64 (sin.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) (sin.f64 im)))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))) (-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (cosh.f64 re))) (*.f64 (*.f64 (sin.f64 im) (sinh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))) (-.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (cosh.f64 re) (sin.f64 im)) (-.f64 (*.f64 (*.f64 (sinh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))) (*.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 im) (sinh.f64 re)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (cosh.f64 re)) (-.f64 (*.f64 (*.f64 (sin.f64 im) (sinh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re))) (*.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 im))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 (neg.f64 (*.f64 (sin.f64 im) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 im))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 (*.f64 (sin.f64 im) (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (*.f64 (sin.f64 im) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 (*.f64 (sin.f64 im) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (sin.f64 im) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sin.f64 im) (sinh.f64 re)))
(+.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (sinh.f64 re) (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) (cosh.f64 re)) (*.f64 (sin.f64 im) (sinh.f64 re)))
(*.f64 (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 re) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(pow.f64 (exp.f64 (neg.f64 re)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (-.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re))))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (neg.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 re) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 re #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 re))
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(*.f64 #s(literal -1 binary64) (log.f64 (exp.f64 re)))
(neg.f64 (log.f64 (exp.f64 re)))
(neg.f64 re)
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (log.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (log.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 re))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 re)))
(log.f64 (exp.f64 (neg.f64 re)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(*.f64 (+.f64 re #s(literal 1 binary64)) im)
(*.f64 im (+.f64 re #s(literal 1 binary64)))
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(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(sin.f64 im)

eval75.0ms (0.9%)

Memory
35.0MiB live, 88.4MiB allocated
Compiler

Compiled 14 378 to 1 999 computations (86.1% saved)

prune34.0ms (0.4%)

Memory
-16.7MiB live, 68.2MiB allocated
Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New37615391
Fresh246
Picked235
Done066
Total38028408
Accuracy
100.0%
Counts
408 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
67.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
65.0%
(*.f64 #s(approx (/ 1 (exp (neg re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
38.3%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
49.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
32.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
14.7%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
15.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
68.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
34.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
30.9%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
37.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
28.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
28.7%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
15.2%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
15.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
48.8%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
28.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
18.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
9.6%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
12.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
6.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
31.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 1 176 to 741 computations (37% saved)

simplify164.0ms (1.9%)

Memory
14.1MiB live, 161.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
cost-diff1
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
cost-diff0
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff0
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff0
(*.f64 im re)
cost-diff0
#s(approx (+ (* re im) im) (*.f64 im re))
cost-diff0
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
cost-diff0
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
cost-diff2
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058629
094624
1171610
2438610
31622610
45664610
08169595
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
#s(approx (+ (* re im) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(literal 1/36 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
(-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)
#s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
im
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
#s(approx (+ (* re im) im) (*.f64 im re))
(*.f64 im re)
im
re
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64))
(fma.f64 (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64))
(-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
re
#s(literal 1/4 binary64)
(-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
im
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re #s(literal 1 binary64)))) im))
(*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)
(*.f64 #s(approx (exp re) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re #s(literal 1 binary64)))) im)
#s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
#s(approx (exp re) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re #s(literal 1 binary64))
im

localize221.0ms (2.6%)

Memory
-29.2MiB live, 409.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy13.561954466237431
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
accuracy17.170644698859412
#s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
accuracy0.3414196611421817
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
accuracy7.31580666752641
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy17.170644698859412
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0.04296875
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy17.170644698859412
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy17.806817174565246
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 im re)
accuracy15.176498346903312
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
accuracy17.423813585487007
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
accuracy30.183597823829533
#s(approx (+ (* re im) im) (*.f64 im re))
accuracy0.0390625
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy0.0625
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy0.12890625
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
accuracy6.150440707500026
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
Samples
87.0ms193×0valid
56.0ms63×0exit
Compiler

Compiled 372 to 48 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 59.0ms (49.4% of total)
ival-div: 21.0ms (17.6% of total)
ival-add: 12.0ms (10% of total)
const: 9.0ms (7.5% of total)
ival-sin: 6.0ms (5% of total)
ival-sub: 5.0ms (4.2% of total)
ival-exp: 4.0ms (3.3% of total)
ival-neg: 3.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
29.5MiB live, 75.7MiB allocated
Counts
29 → 89
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
#s(approx (+ (* re im) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ 1 (* -1 (pow re 2)))
(+ 1 (* (pow re 2) (- (* -1 re) 1)))
(+ 1 (* (pow re 2) (- (* re (- (* -7/12 re) 1)) 1)))
-1
(- (* -1/2 re) 1)
(- (* re (- (* -1/6 re) 1/2)) 1)
(+ 1 (* re (- (* -1/2 re) 1)))
(+ 1 (* re (- (* re (- (* -1/6 re) 1/2)) 1)))
1/2
(+ 1/2 (* -1/6 re))
(* 1/2 re)
(* re (+ 1/2 (* -1/6 re)))
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/36 (pow re 2))
(/ (sin im) (exp (neg re)))
(/ 1 (exp (neg re)))
(exp (neg re))
(* -1/6 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* im (exp re))
(* re (+ im (/ im re)))
(exp 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))))))
(* -1/36 (pow re 6))
(* -1 (* (pow re 6) (+ 1/36 (* 1/6 (/ 1 re)))))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 re))) re)) 1/36))
(* (pow re 6) (- (* -1 (/ (+ 7/12 (/ 1 re)) (pow re 2))) (+ 1/36 (* 1/6 (/ 1 re)))))
(* -1/6 (pow re 2))
(* -1 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))))
(* (pow re 2) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(* -1 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))))
(* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(* (pow re 3) (- (/ 1 (pow re 3)) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(* 1/6 re)
(* re (+ 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)) (/ 1 (pow re 2)))))
(/ (sin im) (exp (* -1 re)))
(/ 1 (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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)))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 re)) (/ 1 (pow re 2)))) re)) 1/36))
(* -1 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 re)) re)) 1/2) re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
re
@inf
((* (/ 1 (exp (neg re))) (sin im)) (/ 1 (exp (neg re))) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (* (exp re) (sin im)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) (* 1/36 (* re re)) (exp re) (/ (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ (* 1/6 re) 1/2))
5.0ms
re
@0
((* (/ 1 (exp (neg re))) (sin im)) (/ 1 (exp (neg re))) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (* (exp re) (sin im)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) (* 1/36 (* re re)) (exp re) (/ (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ (* 1/6 re) 1/2))
4.0ms
re
@-inf
((* (/ 1 (exp (neg re))) (sin im)) (/ 1 (exp (neg re))) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (* (exp re) (sin im)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) (* 1/36 (* re re)) (exp re) (/ (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ (* 1/6 re) 1/2))
2.0ms
im
@-inf
((* (/ 1 (exp (neg re))) (sin im)) (/ 1 (exp (neg re))) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (* (exp re) (sin im)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) (* 1/36 (* re re)) (exp re) (/ (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ (* 1/6 re) 1/2))
1.0ms
im
@inf
((* (/ 1 (exp (neg re))) (sin im)) (/ 1 (exp (neg re))) (exp (neg re)) (+ (* (- (* (+ (* -1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* im re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) re) 1) re) 1) (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (* (exp re) (sin im)) (+ (* -1/6 re) 1/2) (* (+ (* -1/6 re) 1/2) re) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (/ (- (* 1/36 (* re re)) 1/4) (- (* 1/6 re) 1/2)) (* 1/36 (* re re)) (exp re) (/ (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (+ (* 1/6 re) 1/2))

simplify196.0ms (2.3%)

Memory
-38.3MiB live, 247.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0263908
1901846
23336803
08489740
Stop Event
iter limit
node limit
Counts
89 → 88
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ 1 (* -1 (pow re 2)))
(+ 1 (* (pow re 2) (- (* -1 re) 1)))
(+ 1 (* (pow re 2) (- (* re (- (* -7/12 re) 1)) 1)))
-1
(- (* -1/2 re) 1)
(- (* re (- (* -1/6 re) 1/2)) 1)
(+ 1 (* re (- (* -1/2 re) 1)))
(+ 1 (* re (- (* re (- (* -1/6 re) 1/2)) 1)))
1/2
(+ 1/2 (* -1/6 re))
(* 1/2 re)
(* re (+ 1/2 (* -1/6 re)))
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/36 (pow re 2))
(/ (sin im) (exp (neg re)))
(/ 1 (exp (neg re)))
(exp (neg re))
(* -1/6 (pow re 3))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* im (exp re))
(* re (+ im (/ im re)))
(exp 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))))))
(* -1/36 (pow re 6))
(* -1 (* (pow re 6) (+ 1/36 (* 1/6 (/ 1 re)))))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 re))) re)) 1/36))
(* (pow re 6) (- (* -1 (/ (+ 7/12 (/ 1 re)) (pow re 2))) (+ 1/36 (* 1/6 (/ 1 re)))))
(* -1/6 (pow re 2))
(* -1 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))))
(* (pow re 2) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(* -1 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))))
(* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(* (pow re 3) (- (/ 1 (pow re 3)) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(* 1/6 re)
(* re (+ 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)) (/ 1 (pow re 2)))))
(/ (sin im) (exp (* -1 re)))
(/ 1 (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im 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)))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 re)) (/ 1 (pow re 2)))) re)) 1/36))
(* -1 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 re)) re)) 1/2) re)))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* -1 (* im (- (* -1 re) 1)))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 im)) (neg.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(* im re)
(*.f64 im re)
(+ 1 (* -1 (pow re 2)))
(fma.f64 (neg.f64 re) re #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* -1 re) 1)))
(fma.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (- (* re (- (* -7/12 re) 1)) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -7/12 binary64) re) #s(literal 1 binary64)) re) #s(literal 1 binary64)) (*.f64 re re) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1/2 re) 1)
(-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64))
(- (* re (- (* -1/6 re) 1/2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(+ 1 (* re (- (* -1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (- (* -1/6 re) 1/2)) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 re))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/6 re)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/36 (pow re 2))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
(/ (sin im) (exp (neg re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(/ 1 (exp (neg re)))
(exp.f64 re)
(exp (neg re))
(exp.f64 (neg.f64 re))
(* -1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* re (+ im (/ im re)))
(*.f64 (+.f64 (/.f64 im re) im) re)
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* -1/36 (pow re 6))
(*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/36 binary64))
(* -1 (* (pow re 6) (+ 1/36 (* 1/6 (/ 1 re)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) re) #s(literal -1/36 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (* 7/12 (/ 1 re))) re)) 1/36))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 7/12 binary64) re) #s(literal -1 binary64) #s(literal -1/6 binary64)) re) #s(literal 1/36 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* (pow re 6) (- (* -1 (/ (+ 7/12 (/ 1 re)) (pow re 2))) (+ 1/36 (* 1/6 (/ 1 re)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -7/12 binary64)) re) #s(literal -1/6 binary64)) re) #s(literal 1/36 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* -1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal -1/6 binary64))
(* -1 (* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re)
(* (pow re 2) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)) (*.f64 re re))
(* -1 (* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))
(* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (/ 1 (pow re 3)) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) re)) (pow.f64 re #s(literal 3 binary64)))
(* -1/6 re)
(*.f64 #s(literal -1/6 binary64) re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re)
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re) re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/6 binary64))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(/ (sin im) (exp (* -1 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(/ 1 (exp (* -1 re)))
(exp.f64 re)
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (*.f64 re re) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(*.f64 (+.f64 (/.f64 im re) im) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal 1/2 binary64))) re) #s(literal 1/6 binary64)))
(* (pow re 6) (- (* -1 (/ (+ 1/6 (+ (* 7/12 (/ 1 re)) (/ 1 (pow re 2)))) re)) 1/36))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -7/12 binary64)) re) #s(literal -1/6 binary64)) re) #s(literal 1/36 binary64)) (pow.f64 re #s(literal 6 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 re)) re)) 1/2) re)))))
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1 binary64) #s(literal -1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(/ im (exp (neg re)))
(*.f64 (exp.f64 re) im)
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (+ 1 re))
(fma.f64 im re im)
(* -1 (* im (- (* -1 re) 1)))
(*.f64 (neg.f64 im) (-.f64 (neg.f64 re) #s(literal 1 binary64)))

rewrite331.0ms (3.8%)

Memory
40.4MiB live, 428.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058483
094439
1328346
22471346
09360343
Stop Event
iter limit
node limit
iter limit
Counts
29 → 778
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
(/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))
#s(approx (+ (* re im) im) (*.f64 im re))
(*.f64 im re)
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
#s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64))
(fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(*.f64 (sin.f64 im) (pow.f64 #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 6 binary64)) #s(literal 1/64 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 re re) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 4 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 6 binary64)) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 re re) #s(literal 1/144 binary64) #s(literal 1/16 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 re re) #s(literal 1/144 binary64) #s(literal 1/16 binary64)))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 re re) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (fma.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 re re) #s(literal 1/144 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) (/.f64 re (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) #s(literal 1/6 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) re))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 re re) #s(literal 1/36 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval138.0ms (1.6%)

Memory
6.0MiB live, 235.0MiB allocated
Compiler

Compiled 28 484 to 3 784 computations (86.7% saved)

prune102.0ms (1.2%)

Memory
-35.0MiB live, 104.4MiB allocated
Pruning

33 alts after pruning (22 fresh and 11 done)

PrunedKeptTotal
New58811599
Fresh31114
Picked235
Done189
Total59433627
Accuracy
100.0%
Counts
627 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
67.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
65.0%
(*.f64 #s(approx (/ 1 (exp (neg re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
49.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
32.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
65.5%
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
68.5%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
31.5%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
37.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
34.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
26.9%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
28.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
37.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
39.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
5.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
4.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
29.8%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
28.7%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
15.2%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
15.1%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
48.8%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
29.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
28.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
18.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
9.6%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
12.5%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
28.6%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
6.7%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
31.2%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Compiler

Compiled 1 991 to 809 computations (59.4% saved)

regimes106.0ms (1.2%)

Memory
45.6MiB live, 135.3MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (/ 1 (exp (neg re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re))) (sin.f64 im))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

36.0ms
re
34.0ms
(exp.f64 re)
12.0ms
im
12.0ms
(sin.f64 im)
10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
100.0%1(sin.f64 im)
100.0%1(exp.f64 re)
100.0%1(*.f64 (exp.f64 re) (sin.f64 im))
100.0%1re
100.0%1im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes103.0ms (1.2%)

Memory
-13.4MiB live, 92.7MiB allocated
Counts
40 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (/ 1 (exp (neg re))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))) (sin.f64 im))
Outputs
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

5 calls:

39.0ms
im
31.0ms
(exp.f64 re)
11.0ms
re
11.0ms
(sin.f64 im)
9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
85.0%4(sin.f64 im)
94.3%3(exp.f64 re)
99.7%5(*.f64 (exp.f64 re) (sin.f64 im))
97.8%4re
84.7%3im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes39.0ms (0.5%)

Memory
-21.7MiB live, 21.6MiB allocated
Counts
36 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Outputs
#s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

37.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.6%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes19.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
34 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

2 calls:

9.0ms
re
8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
95.0%4re
98.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes24.0ms (0.3%)

Memory
-21.2MiB live, 21.4MiB allocated
Counts
33 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

22.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.3%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
32 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.3%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
30 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.0%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes64.0ms (0.7%)

Memory
-53.1MiB live, 24.0MiB allocated
Counts
28 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
Calls

5 calls:

32.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
re
8.0ms
im
8.0ms
(sin.f64 im)
6.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
58.5%3(sin.f64 im)
58.5%2im
67.4%3re
67.3%3(exp.f64 re)
74.0%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes60.0ms (0.7%)

Memory
-9.6MiB live, 38.1MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) (*.f64 re re))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) #s(approx (+ 1 (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)) re #s(literal -1 binary64)) re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re))) (+.f64 im (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 im re) im)) re)))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))
Calls

5 calls:

31.0ms
(sin.f64 im)
7.0ms
im
7.0ms
re
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
46.5%2(sin.f64 im)
42.5%2im
44.5%2(exp.f64 re)
44.5%2re
51.2%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
50.1%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes6.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) re) re) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (/.f64 (-.f64 (*.f64 im im) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 im re)) (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) (+.f64 im (*.f64 #s(literal -1/2 binary64) (*.f64 im re)))) re im)))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
48.7%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.2%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

4 calls:

5.0ms
(sin.f64 im)
4.0ms
re
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
37.4%1re
37.4%1(exp.f64 re)
44.1%2(sin.f64 im)
44.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes31.0ms (0.4%)

Memory
-23.0MiB live, 23.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

3 calls:

22.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(sin.f64 im)
4.0ms
im
Results
AccuracySegmentsBranch
37.4%1im
37.4%1(sin.f64 im)
37.4%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes35.0ms (0.4%)

Memory
-10.9MiB live, 34.9MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) re))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
Calls

5 calls:

20.0ms
re
4.0ms
(sin.f64 im)
4.0ms
im
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
37.1%1re
37.1%1(exp.f64 re)
37.1%1im
37.1%1(sin.f64 im)
37.1%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes17.0ms (0.2%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im))
Calls

5 calls:

3.0ms
im
3.0ms
(sin.f64 im)
3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
37.4%2re
37.4%2(exp.f64 re)
34.8%1im
34.8%1(sin.f64 im)
37.5%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 (+.f64 (/.f64 im re) im) re))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

3 calls:

3.0ms
re
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
34.8%1(exp.f64 re)
34.8%1re
34.8%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes48.0ms (0.6%)

Memory
-43.5MiB live, 9.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
Calls

5 calls:

39.0ms
re
2.0ms
(sin.f64 im)
2.0ms
im
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
34.8%2(exp.f64 re)
34.8%2re
31.8%1im
31.8%1(sin.f64 im)
34.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
34.8%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
Calls

5 calls:

2.0ms
re
2.0ms
(sin.f64 im)
2.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.7%1im
28.7%1(sin.f64 im)
28.7%1(exp.f64 re)
28.7%1re
28.7%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
Calls

5 calls:

1.0ms
(sin.f64 im)
1.0ms
re
1.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.7%1im
28.7%1(exp.f64 re)
28.7%1re
28.7%1(sin.f64 im)
28.7%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
Calls

5 calls:

1.0ms
im
1.0ms
(sin.f64 im)
1.0ms
re
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
6.7%1im
6.7%1re
6.7%1(exp.f64 re)
6.7%1(sin.f64 im)
6.7%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
3.523715371045258e-31
2.423892495256112e-29
0.0ms
-0.029004713937150046
0.0
0.0ms
-inf
-0.9998743479178809
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00040448888653943794
0.01900511073599124
0.0ms
-0.3460834310857373
-0.3228994380832527
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999577945993029
+inf
0.0ms
-0.3460834310857373
-0.3228994380832527
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.9788632071179513e-304
0.0ms
-0.3052675893069465
-0.2914634228381241
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.3129324430628804
-0.3052675893069465
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0956149065966873
0.26273571673291674
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0956149065966873
0.26273571673291674
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0956149065966873
0.26273571673291674
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify65.0ms (0.8%)

Memory
-1.3MiB live, 43.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01781420
12491338
24891338
315641338
468521338
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (/ 1 (exp (neg re))) (sin im)) (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (exp.f64 re) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 178405961588245/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) #s(literal -1 binary64)) re)))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) (sqrt.f64 re) #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re)))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5584463537939415/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #s(approx (- 1 (* (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re) (* (neg (+ (* (+ (* 1/6 re) 1/2) re) 1)) re))) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5584463537939415/18014398509481984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (neg.f64 re) #s(literal -1 binary64)) re #s(literal 1 binary64))) im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 (*.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re)))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness2.2s (26%)

Memory
-7.4MiB live, 1 374.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150447
1555398
22043376
37237372
08449327
071192
1274181
21040169
34901163
08290143
037226
058224
1200220
21294220
08224214
0263908
1901846
23336803
08489740
058483
094439
1328346
22471346
09360343
0216692
1791643
22871610
08161539
059
089
1129
2409
32939
442909
088819
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2 001 to 745 computations (62.8% saved)

preprocess206.0ms (2.4%)

Memory
33.4MiB live, 170.6MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 722 to 372 computations (86.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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