math.exp on complex, imaginary part

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
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)

sample1.4s (24.9%)

Memory
18.5MiB live, 1 665.3MiB allocated; 434ms collecting garbage
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 665.0ms
ival-sin: 387.0ms (58.2% of total)
ival-mult: 133.0ms (20% of total)
ival-exp: 132.0ms (19.8% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
adjust: 3.0ms (0.5% of total)
Bogosity

explain79.0ms (1.5%)

Memory
16.5MiB live, 107.6MiB allocated; 19ms collecting garbage
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
31.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (59.4% of total)
ival-exp: 4.0ms (21.6% of total)
ival-mult: 3.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess250.0ms (4.6%)

Memory
-2.7MiB live, 372.7MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13829
211527
340727
4164827
055
085
1125
2265
3675
42795
522965
081255
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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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)

series4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
5 → 19
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
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))))))
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) re (sin im) im)
1.0ms
re
@-inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms
im
@-inf
((* (exp re) (sin im)) (exp re) re (sin im) im)
0.0ms
im
@0
((* (exp re) (sin im)) (exp re) re (sin im) im)
0.0ms
im
@inf
((* (exp re) (sin im)) (exp re) re (sin im) im)

simplify314.0ms (5.7%)

Memory
-18.3MiB live, 277.4MiB allocated; 88ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071193
1274182
21066170
35077164
08552144
Stop Event
iter limit
node limit
Counts
19 → 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))))))
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))
re
(* (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)

rewrite144.0ms (2.6%)

Memory
14.9MiB live, 250.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
11211
24011
329311
0462111
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 149
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
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 (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 (*.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 (neg.f64 (sin.f64 im)) (sinh.f64 re)) #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)))
(-.f64 (*.f64 (cosh.f64 re) (sin.f64 im)) (*.f64 (neg.f64 (sin.f64 im)) (sinh.f64 re)))
(+.f64 (*.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)))
(+.f64 (*.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))))))
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(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (sinh.f64 re))
(fma.f64 (sinh.f64 re) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 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)))))
(fma.f64 (cosh.f64 re) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 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)))))
(fma.f64 (cosh.f64 re) (/.f64 (cosh.f64 re) (exp.f64 (neg.f64 re))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.f64 re))))
(-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))) (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (-.f64 (sinh.f64 re) (cosh.f64 re))))
(-.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (-.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (cosh.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 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 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 (neg.f64 re))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (exp.f64 (neg.f64 re))))
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(*.f64 #s(literal 1 binary64) (sin.f64 im))
(*.f64 (*.f64 (sin.f64 im) (exp.f64 re)) (exp.f64 (neg.f64 re)))
(*.f64 (sin.f64 im) #s(literal 1 binary64))
(*.f64 (exp.f64 re) (*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im)))
(/.f64 (*.f64 (*.f64 (cosh.f64 (+.f64 re re)) #s(literal 1 binary64)) (sin.f64 im)) (cosh.f64 (+.f64 re re)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 6 binary64)) (pow.f64 (sinh.f64 re) #s(literal 6 binary64))) (sin.f64 im)) (fma.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (cosh.f64 (+.f64 re re)) (pow.f64 (cosh.f64 re) #s(literal 4 binary64))))
(/.f64 (*.f64 (sin.f64 im) (*.f64 (cosh.f64 (+.f64 re re)) #s(literal 1 binary64))) (cosh.f64 (+.f64 re re)))
(/.f64 (*.f64 (sin.f64 im) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 6 binary64)) (pow.f64 (sinh.f64 re) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (cosh.f64 (+.f64 re re)) (pow.f64 (cosh.f64 re) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (sin.f64 im) (*.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (sin.f64 im)))
(fma.f64 (sin.f64 im) (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sin.f64 im) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
(sin.f64 im)
(+.f64 (*.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (sin.f64 im)) (*.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64))) (sin.f64 im)))
(+.f64 (*.f64 (sin.f64 im) (pow.f64 (cosh.f64 re) #s(literal 2 binary64))) (*.f64 (sin.f64 im) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))))
im

eval18.0ms (0.3%)

Memory
0.7MiB live, 46.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 636 to 539 computations (85.2% saved)

prune9.0ms (0.2%)

Memory
-21.7MiB live, 24.4MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1588166
Fresh000
Picked011
Done000
Total1589167
Accuracy
100.0%
Counts
167 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
75.0%
(*.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))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
68.5%
(*.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))
64.8%
(*.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))
52.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
67.8%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
52.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 177 to 143 computations (19.2% saved)

series27.0ms (0.5%)

Memory
-0.4MiB live, 48.4MiB allocated; 11ms collecting garbage
Counts
22 → 70
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))
(*.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)
(*.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) (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)
#s(literal 1/2 binary64)
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(sinh.f64 re)
(*.f64 (cosh.f64 re) (sin.f64 im))
(cosh.f64 re)
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)
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)))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(+ (sin im) (* 1/2 (* (pow re 2) (sin im))))
(+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))
(+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(exp re)
(* re (+ 1 (/ 1 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(/ 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
(* 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))
(* 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 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))
(* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))
(* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))
Calls

6 calls:

TimeVariablePointExpression
9.0ms
im
@inf
((/ (sin im) (exp (neg re))) (sin im) im (exp (neg re)) (neg re) re (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sinh re) (* (cosh re) (sin im)) (cosh re))
5.0ms
re
@inf
((/ (sin im) (exp (neg re))) (sin im) im (exp (neg re)) (neg re) re (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sinh re) (* (cosh re) (sin im)) (cosh re))
5.0ms
im
@-inf
((/ (sin im) (exp (neg re))) (sin im) im (exp (neg re)) (neg re) re (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sinh re) (* (cosh re) (sin im)) (cosh re))
4.0ms
re
@-inf
((/ (sin im) (exp (neg re))) (sin im) im (exp (neg re)) (neg re) re (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sinh re) (* (cosh re) (sin im)) (cosh re))
2.0ms
re
@0
((/ (sin im) (exp (neg re))) (sin im) im (exp (neg re)) (neg re) re (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 1/2 (+ (* (sinh re) (sin im)) (* (cosh re) (sin im))) (sinh re) (* (cosh re) (sin im)) (cosh re))

simplify155.0ms (2.8%)

Memory
5.7MiB live, 196.2MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671017
11068922
24859899
08185819
Stop Event
iter limit
node limit
Counts
70 → 68
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)
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)))))))
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(+ (sin im) (* 1/2 (* (pow re 2) (sin im))))
(+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))
(+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(exp re)
(* re (+ 1 (/ 1 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(/ 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
(* 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))
(* 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 (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))
(* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))
(* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (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)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 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)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (fma.f64 #s(literal -7/6 binary64) (sin.f64 im) (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 (fma.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 (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 re)
(neg.f64 re)
re
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 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))
(+ 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1 (* 1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re)
(+ (sin im) (* 1/2 (* (pow re 2) (sin im))))
(*.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* (pow re 2) (+ (* 1/24 (* (pow re 2) (sin im))) (* 1/2 (sin im)))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))) (*.f64 re re) (sin.f64 im))
(+ (sin im) (* (pow re 2) (+ (* 1/2 (sin im)) (* (pow re 2) (+ (* 1/720 (* (pow re 2) (sin im))) (* 1/24 (sin im)))))))
(fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sin.f64 im) (*.f64 (pow.f64 re #s(literal 4 binary64)) (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)))))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(/ (sin im) (exp (neg re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 binary64))
(* 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 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (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)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(*.f64 (-.f64 (/.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.f64 re #s(literal 3 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))
(* 1/6 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))
(+ (* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (* (sin im) (- (exp re) (/ 1 (exp re))))))
(*.f64 (*.f64 (sin.f64 im) (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))) #s(literal 1/2 binary64))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(*.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) #s(literal 1/2 binary64))
(* 1/2 (* (sin im) (+ (exp re) (/ 1 (exp re)))))
(*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (*.f64 #s(literal 1/2 binary64) (sin.f64 im)))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64))
(/ (sin im) (exp (* -1 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal -1 binary64) #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)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) re) #s(literal -1 binary64) #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 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) 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)) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(* 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 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) im)
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* -1/12 (- (exp re) (/ 1 (exp re)))))))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 im im)) (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) (*.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal 1/2 binary64))) im)
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (- (exp re) (/ 1 (exp re))))))))))))
(*.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 im im)) (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) (*.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal -1/12 binary64))) (*.f64 im im))) im)
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/2 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (+ (* -1/12 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* 1/240 (+ (exp re) (/ 1 (exp re)))) (+ (* 1/240 (- (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (+ (exp re) (/ 1 (exp re)))) (* -1/10080 (- (exp re) (/ 1 (exp re)))))))))))))))
(*.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal -1/12 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/10080 binary64) (*.f64 im im)) (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) (*.f64 (+.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))) #s(literal 1/240 binary64))) (*.f64 im im))) (*.f64 im im))) im)
(* 1/2 (* im (+ (exp re) (/ 1 (exp re)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) im) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)))
(* im (+ (* -1/12 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/2 (+ (exp re) (/ 1 (exp re))))))
(*.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64))) im)
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* 1/240 (* (pow im 2) (+ (exp re) (/ 1 (exp re)))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (fma.f64 #s(literal 1/240 binary64) (*.f64 im im) #s(literal -1/12 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) im) (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re))))
(* im (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/12 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/10080 (* (pow im 2) (+ (exp re) (/ 1 (exp re))))) (* 1/240 (+ (exp re) (/ 1 (exp re))))))))))
(*.f64 (fma.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (fma.f64 #s(literal -1/12 binary64) (*.f64 im im) #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (fma.f64 #s(literal -1/10080 binary64) (*.f64 im im) #s(literal 1/240 binary64))))) im)

rewrite55.0ms (1%)

Memory
25.5MiB live, 70.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025113
043111
1137108
0957108
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 136
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))
(*.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)
(*.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) (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)
#s(literal 1/2 binary64)
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
(sinh.f64 re)
(*.f64 (cosh.f64 re) (sin.f64 im))
(cosh.f64 re)
Outputs
(*.f64 (/.f64 (sin.f64 im) #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 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 im)) (exp.f64 (neg.f64 re))))
(neg.f64 (/.f64 (sin.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(sin.f64 im)
im
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 re)))
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 re) (sinh.f64 re))) (exp.f64 re))
(/.f64 (-.f64 (*.f64 (cosh.f64 re) (cosh.f64 re)) (*.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 re)))) (-.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))
(/.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)) (pow.f64 (sinh.f64 (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (*.f64 (sinh.f64 (neg.f64 re)) (sinh.f64 (neg.f64 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 (-.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (*.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (-.f64 #s(literal 0 binary64) re))
(exp.f64 (neg.f64 re))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(neg.f64 re)
re
#s(approx (* (exp re) (sin im)) (sin.f64 im))
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(*.f64 (sin.f64 im) (cosh.f64 re))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) (sin.f64 im)) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 im) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 (neg.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))

eval33.0ms (0.6%)

Memory
-22.8MiB live, 64.5MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 600 to 799 computations (82.6% saved)

prune10.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New2229231
Fresh303
Picked055
Done011
Total22515240
Accuracy
100.0%
Counts
240 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
75.0%
(/.f64 (sin.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
70.4%
(/.f64 (sin.f64 im) #s(approx (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))))
59.4%
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
68.5%
(*.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))
64.8%
(*.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))) (sin.f64 im))
67.9%
(*.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))) (sin.f64 im))
52.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
30.8%
(*.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)))
67.8%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
52.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
29.3%
#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 344 to 271 computations (21.2% saved)

series28.0ms (0.5%)

Memory
-9.0MiB live, 45.7MiB allocated; 13ms collecting garbage
Counts
31 → 86
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(sin.f64 im)
im
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
re
(sinh.f64 re)
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.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))) (sin.f64 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)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
#s(literal 1/120 binary64)
#s(literal -1/6 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 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
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))))))
(+ (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 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (neg re)))
(* im (exp re))
(exp re)
(exp (neg re))
(* -1 re)
(* re (- (/ 1 re) 1))
(* (exp re) (sin im))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* re (- 1 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(/ im (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (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))))))))
(pow im 3)
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(pow im 2)
(* -1/5040 (pow im 7))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
re
@inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) re (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (/ (sin im) (exp (neg re))) (exp (neg re)) (- 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (pow im 3) 3 (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 (* im im) 1/120 -1/6)
5.0ms
re
@-inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) re (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (/ (sin im) (exp (neg re))) (exp (neg re)) (- 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (pow im 3) 3 (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 (* im im) 1/120 -1/6)
4.0ms
im
@inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) re (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (/ (sin im) (exp (neg re))) (exp (neg re)) (- 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (pow im 3) 3 (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 (* im im) 1/120 -1/6)
4.0ms
im
@-inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) re (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (/ (sin im) (exp (neg re))) (exp (neg re)) (- 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (pow im 3) 3 (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 (* im im) 1/120 -1/6)
2.0ms
im
@0
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) re (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (/ (sin im) (exp (neg re))) (exp (neg re)) (- 1 re) 1 (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/2 (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (pow im 3) 3 (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 (* im im) 1/120 -1/6)

simplify160.0ms (2.9%)

Memory
-17.0MiB live, 215.2MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02661103
1927992
23578966
09044895
Stop Event
iter limit
node limit
Counts
86 → 84
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 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
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))))))
(+ (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 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (neg re)))
(* im (exp re))
(exp re)
(exp (neg re))
(* -1 re)
(* re (- (/ 1 re) 1))
(* (exp re) (sin im))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* re (- 1 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(/ im (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (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))))))))
(pow im 3)
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(pow im 2)
(* -1/5040 (pow im 7))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
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)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 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)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/6 binary64) (sin.f64 im) (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 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (fma.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 (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 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
re
(* re (+ 1 (* 1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re)
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 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) 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))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im))
(+ 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(/.f64 (/.f64 (sin.f64 im) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(*.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) #s(literal 1/2 binary64))
(/ (sin im) (exp (neg re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(exp re)
(exp.f64 re)
(exp (neg re))
(exp.f64 (neg.f64 re))
(* -1 re)
(neg.f64 re)
(* re (- (/ 1 re) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* 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 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.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) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(*.f64 (-.f64 (/.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.f64 re #s(literal 3 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 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) re) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal -1/6 binary64)) (*.f64 re re))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) re)
(/ (sin im) (exp (* -1 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* re (- 1 (/ 1 re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (neg.f64 re))
(* -1 (* (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)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (-.f64 (/.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.f64 re #s(literal 3 binary64)))
(/ im (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(/.f64 (/.f64 im #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(fma.f64 (/.f64 im (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(fma.f64 (/.f64 im (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal -1/2520 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (exp.f64 re)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))))))
(* 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)) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(/ 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 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) 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 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) im)
(pow im 3)
(pow.f64 im #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(pow im 2)
(*.f64 im im)
(* -1/5040 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 im im))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* -1/5040 (pow im 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) im) im)
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 7 binary64))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64)))))

rewrite71.0ms (1.3%)

Memory
5.7MiB live, 152.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040212
064208
1217208
01574203
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
31 → 220
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(sin.f64 im)
im
(-.f64 (cosh.f64 re) (sinh.f64 re))
(cosh.f64 re)
re
(sinh.f64 re)
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(*.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))) (sin.f64 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)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
#s(literal 1/120 binary64)
#s(literal -1/6 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) #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 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 im)) (exp.f64 (neg.f64 re))))
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(fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (fabs.f64 im) (*.f64 (fabs.f64 im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(fma.f64 im (*.f64 #s(literal -1/5040 binary64) im) #s(literal 1/120 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) im)) im))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 im im)) #s(literal -1/5040 binary64)))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 im im)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))) (/.f64 #s(literal 1/1728000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 2 binary64)) #s(literal 1/14400 binary64)) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))
(+.f64 (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))
#s(literal -1/5040 binary64)
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 im (neg.f64 im)))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)

eval43.0ms (0.8%)

Memory
-13.4MiB live, 125.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 818 to 1 392 computations (84.2% saved)

prune15.0ms (0.3%)

Memory
41.9MiB live, 41.9MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (12 fresh and 9 done)

PrunedKeptTotal
New32611337
Fresh314
Picked235
Done066
Total33121352
Accuracy
100.0%
Counts
352 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
74.7%
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
70.4%
(/.f64 (sin.f64 im) #s(approx (- (cosh re) (sinh 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))))
59.4%
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
68.5%
(*.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))
64.8%
(*.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))) (sin.f64 im))
52.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
30.8%
(*.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)))
67.8%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
39.9%
#s(approx (/ (sin im) (exp (neg re))) (*.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))
38.1%
#s(approx (/ (sin im) (exp (neg 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))) im))
28.0%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
38.1%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
33.0%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
28.0%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
52.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
30.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
19.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
Compiler

Compiled 618 to 438 computations (29.1% saved)

series44.0ms (0.8%)

Memory
-17.1MiB live, 44.1MiB allocated; 12ms collecting garbage
Counts
38 → 105
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
(sin.f64 im)
im
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))
#s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sinh.f64 re)
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) #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)
#s(approx (/ (sin im) (exp (neg re))) (*.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)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))
(fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(*.f64 (*.f64 im im) im)
(*.f64 im im)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 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 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
1/2
(+ 1/2 (* 1/24 (pow re 2)))
(pow re 2)
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
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)))
(* im re)
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1/2 (* 1/6 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)))))))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(* 1/24 (pow re 4))
(* (pow re 4) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))
(* 1/24 (pow re 2))
(* (pow re 2) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (neg re)))
(* im (exp 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))))))
(* 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)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* (exp re) (sin im))
(/ (sin im) (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 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (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 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 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))))))))
(pow im 3)
(pow im 2)
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (pow im 7))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
re
@inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) (+ (* (+ (* 1/24 (* re re)) 1/2) (* re re)) 1) (+ (* 1/24 (* re re)) 1/2) 1/24 (* re re) re 1/2 1 (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* re im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (sin im)) (sin im) (+ (* (* (* im im) im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (* (* im im) im) (* im im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 1/120 -1/6)
4.0ms
im
@-inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) (+ (* (+ (* 1/24 (* re re)) 1/2) (* re re)) 1) (+ (* 1/24 (* re re)) 1/2) 1/24 (* re re) re 1/2 1 (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* re im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (sin im)) (sin im) (+ (* (* (* im im) im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (* (* im im) im) (* im im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 1/120 -1/6)
4.0ms
re
@-inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) (+ (* (+ (* 1/24 (* re re)) 1/2) (* re re)) 1) (+ (* 1/24 (* re re)) 1/2) 1/24 (* re re) re 1/2 1 (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* re im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (sin im)) (sin im) (+ (* (* (* im im) im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (* (* im im) im) (* im im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 1/120 -1/6)
4.0ms
im
@inf
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) (+ (* (+ (* 1/24 (* re re)) 1/2) (* re re)) 1) (+ (* 1/24 (* re re)) 1/2) 1/24 (* re re) re 1/2 1 (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* re im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (sin im)) (sin im) (+ (* (* (* im im) im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (* (* im im) im) (* im im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 1/120 -1/6)
2.0ms
im
@0
((/ (sin im) (- (cosh re) (sinh re))) (sin im) im (- (cosh re) (sinh re)) (cosh re) (+ (* (+ (* 1/24 (* re re)) 1/2) (* re re)) 1) (+ (* 1/24 (* re re)) 1/2) 1/24 (* re re) re 1/2 1 (sinh re) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* re im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2) 1/6 (* (exp re) (sin im)) (sin im) (+ (* (* (* im im) im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (* (* im im) im) (* im im) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* -1/5040 (* im im)) 1/120) -1/5040 1/120 -1/6)

simplify179.0ms (3.3%)

Memory
8.3MiB live, 137.5MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111287
110951178
241821151
081671066
Stop Event
iter limit
node limit
Counts
105 → 103
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 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
1/2
(+ 1/2 (* 1/24 (pow re 2)))
(pow re 2)
re
(* re (+ 1 (* 1/6 (pow re 2))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
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)))
(* im re)
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1/2 (* 1/6 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)))))))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(* 1/24 (pow re 4))
(* (pow re 4) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* (pow re 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))
(* 1/24 (pow re 2))
(* (pow re 2) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(* 1/2 (- (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (neg re)))
(* im (exp 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))))))
(* 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)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* (exp re) (sin im))
(/ (sin im) (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 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp 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 (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 re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 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))))))))
(pow im 3)
(pow im 2)
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(* -1/5040 (pow im 7))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 4))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
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)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 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)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/6 binary64) (sin.f64 im) (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 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (fma.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 (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 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 re re) #s(literal 1/24 binary64)) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/24 (pow re 2)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))
(pow re 2)
(*.f64 re re)
re
(* re (+ 1 (* 1/6 (pow re 2))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* 1/120 (pow re 2))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 re re) #s(literal 1/6 binary64)) re)
(* re (+ 1 (* (pow re 2) (+ 1/6 (* (pow re 2) (+ 1/120 (* 1/5040 (pow re 2))))))))
(fma.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 re re) #s(literal 1/120 binary64)) (*.f64 re re) #s(literal 1/6 binary64)) re)
im
(+ im (* im re))
(fma.f64 re im 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 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)
(+ im (* 1/2 (* im re)))
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
(* im re)
(*.f64 re im)
(+ 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 (* 1/2 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))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im))
(/ (sin im) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(/.f64 (/.f64 (sin.f64 im) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))
(- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re)))))
(*.f64 (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 re) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))
(* 1/24 (pow re 4))
(*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow re 4) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) (pow.f64 re #s(literal 4 binary64)))
(* (pow re 4) (+ 1/24 (+ (* 1/2 (/ 1 (pow re 2))) (/ 1 (pow re 4)))))
(*.f64 (+.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (pow.f64 re #s(literal 4 binary64)))
(* 1/24 (pow re 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/24 (* 1/2 (/ 1 (pow re 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) #s(literal 1/24 binary64)) re) re)
(* 1/2 (- (exp re) (/ 1 (exp re))))
(*.f64 (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) #s(literal 1/2 binary64))
(/ (sin im) (exp (neg re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* re (+ im (/ im re)))
(*.f64 (+.f64 (/.f64 im re) im) re)
(* 1/2 (* im (pow re 2)))
(*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re)
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) re) re)
(* 1/2 (* im re))
(*.f64 (*.f64 re im) #s(literal 1/2 binary64))
(* re (+ (* 1/2 im) (/ im re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) 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 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.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) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/2 binary64)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* 1/6 (pow re 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 re re))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) re) re)
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal -1/6 binary64)) (*.f64 re re))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) re)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(/ (sin im) (exp (* -1 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(*.f64 (+.f64 (/.f64 im re) im) re)
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 (+.f64 (/.f64 im re) im) re)) re) re)
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal -1 binary64) #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)) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/2 binary64)) re) #s(literal -1 binary64) #s(literal -1/6 binary64)))
(/ im (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))
(/.f64 (/.f64 im #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))))
(* im (+ (* -1/6 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (*.f64 (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64)))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(fma.f64 (/.f64 im (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))) (* 1/120 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (* 1/6 (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))) (/ 1 (- (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* 1/2 (- (exp re) (/ 1 (exp re))))))))
(fma.f64 (/.f64 im (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re))))) #s(literal -1/2520 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (-.f64 (+.f64 (exp.f64 re) (exp.f64 (neg.f64 re))) (-.f64 (exp.f64 re) (exp.f64 (neg.f64 re)))) #s(literal 1/2 binary64))))))
(* 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)) (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(/ 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 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) im)
(* im (+ 1 re))
(fma.f64 re im 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)))
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) 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 (neg.f64 re)))
(* 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 (*.f64 im im) #s(literal 1/120 binary64) #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 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (*.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))))) im)
(pow im 3)
(pow.f64 im #s(literal 3 binary64))
(pow im 2)
(*.f64 im im)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow im 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(* -1/5040 (pow im 7))
(*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 7 binary64)))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/120 binary64) (*.f64 im im))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 7 binary64)))
(* -1/5040 (pow im 4))
(*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 im #s(literal 4 binary64)))
(* -1/5040 (pow im 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) im) im)
(* -1 (* im (- (* -1 re) 1)))
(*.f64 (fma.f64 #s(literal -1 binary64) re #s(literal -1 binary64)) (neg.f64 im))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(*.f64 (fma.f64 (fma.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)))
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal -1/5040 binary64)) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 7 binary64)))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 7 binary64))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64)))))

rewrite343.0ms (6.3%)

Memory
-14.3MiB live, 265.1MiB allocated; 90ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046328
077320
1289320
22272320
010190320
Stop Event
iter limit
node limit
iter limit
Counts
38 → 529
Calls
Call 1
Inputs
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
(sin.f64 im)
im
(-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))
#s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 re re)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sinh.f64 re)
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) #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)
#s(approx (/ (sin im) (exp (neg re))) (*.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)
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))
(fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(*.f64 (*.f64 im im) im)
(*.f64 im im)
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 im) (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 im) (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (sinh.f64 re) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 im)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 im))) (neg.f64 (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))))
(/.f64 (neg.f64 (sin.f64 im)) (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))))
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 im)) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re))))
(neg.f64 (/.f64 (sin.f64 im) (neg.f64 (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))))
(sin.f64 im)
im
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (sinh.f64 re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sinh.f64 re) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))) (*.f64 (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (pow.f64 (sinh.f64 re) #s(literal 2 binary64)))) (*.f64 (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64)))) (+.f64 (sinh.f64 re) #s(approx (cosh re) (fma.f64 (fma.f64 (*.f64 re re) #s(literal 1/24 binary64) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))))))
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(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) #s(literal 1/14400 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))) #s(literal 1/1728000 binary64))) (*.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64)))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (neg.f64 im)) (neg.f64 im) #s(literal 1/120 binary64))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64))
(fma.f64 (neg.f64 im) (*.f64 (neg.f64 im) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 im (*.f64 #s(literal -1/5040 binary64) im) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))))
(-.f64 #s(literal 1/120 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) im)) im))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (*.f64 im im)))
(-.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))) (/.f64 #s(literal 1/1728000 binary64) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 im im) #s(literal -1/604800 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))) (/.f64 #s(literal -1/14400 binary64) (-.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im)))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)

eval258.0ms (4.7%)

Memory
29.1MiB live, 270.1MiB allocated; 23ms collecting garbage
Compiler

Compiled 28 699 to 3 619 computations (87.4% saved)

prune101.0ms (1.8%)

Memory
-35.2MiB live, 151.5MiB allocated; 74ms collecting garbage
Pruning

33 alts after pruning (20 fresh and 13 done)

PrunedKeptTotal
New70213715
Fresh077
Picked145
Done099
Total70333736
Accuracy
100.0%
Counts
736 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.6%
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
74.7%
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
100.0%
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
70.4%
(/.f64 (sin.f64 im) #s(approx (- (cosh re) (sinh 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))))
59.4%
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
68.5%
(*.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))
64.8%
(*.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))) (sin.f64 im))
52.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
30.8%
(*.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)))
67.8%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
39.9%
#s(approx (/ (sin im) (exp (neg re))) (*.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))
39.9%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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))
29.6%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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))
39.9%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
38.1%
#s(approx (/ (sin im) (exp (neg 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))) im))
39.9%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
39.7%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
28.0%
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
38.1%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
33.0%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
28.0%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
28.0%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
10.4%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
10.5%
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
52.0%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
30.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
30.5%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
30.4%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
29.9%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
29.7%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
29.3%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
19.8%
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
Compiler

Compiled 1 627 to 746 computations (54.1% saved)

regimes107.0ms (2%)

Memory
-24.0MiB live, 118.9MiB allocated; 17ms collecting garbage
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.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))
(*.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))) (sin.f64 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))) (sin.f64 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)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
(/.f64 (sin.f64 im) #s(approx (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))))
(/.f64 (sin.f64 im) #s(approx (- (cosh re) (sinh 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))))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (sin.f64 im) (-.f64 #s(approx (cosh re) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))) (sinh.f64 re)))
(/.f64 (sin.f64 im) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(*.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))
(fma.f64 (sinh.f64 re) (sin.f64 im) (*.f64 (cosh.f64 re) (sin.f64 im)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

39.0ms
re
34.0ms
(sin.f64 im)
11.0ms
im
10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
(exp.f64 re)
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)

regimes110.0ms (2%)

Memory
26.8MiB live, 114.5MiB allocated; 13ms collecting garbage
Counts
36 → 4
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.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))
(*.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))) (sin.f64 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))) (sin.f64 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)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
(/.f64 (sin.f64 im) #s(approx (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))))
(/.f64 (sin.f64 im) #s(approx (- (cosh re) (sinh 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))))
Outputs
(*.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:

69.0ms
re
11.0ms
(exp.f64 re)
10.0ms
im
10.0ms
(sin.f64 im)
8.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
90.1%4(sin.f64 im)
93.9%3(exp.f64 re)
98.3%4(*.f64 (exp.f64 re) (sin.f64 im))
98.2%4re
87.6%2im
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes23.0ms (0.4%)

Memory
5.4MiB live, 47.1MiB allocated; 11ms collecting garbage
Counts
32 → 4
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.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))
(*.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))) (sin.f64 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))) (sin.f64 im))
Outputs
#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))
(*.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))) (sin.f64 im))
Calls

2 calls:

13.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
re
Results
AccuracySegmentsBranch
98.1%4re
98.0%4(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes24.0ms (0.4%)

Memory
-22.9MiB live, 33.1MiB allocated; 10ms collecting garbage
Counts
31 → 5
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.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))
(*.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))) (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:

15.0ms
re
7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.6%5(*.f64 (exp.f64 re) (sin.f64 im))
96.3%4re
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes9.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
29 → 5
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.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:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.5%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.2%)

Memory
-14.0MiB live, 29.3MiB allocated; 6ms collecting garbage
Counts
28 → 5
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #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:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.1%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes11.0ms (0.2%)

Memory
-20.8MiB live, 25.1MiB allocated; 5ms collecting garbage
Counts
26 → 5
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) #s(approx (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (*.f64 (pow.f64 im #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))
#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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 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:

9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
97.9%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes55.0ms (1%)

Memory
24.0MiB live, 70.0MiB allocated; 6ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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)) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

5 calls:

31.0ms
im
6.0ms
(sin.f64 im)
6.0ms
re
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
61.9%3(sin.f64 im)
61.5%2im
66.0%2(exp.f64 re)
66.0%2re
70.4%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes65.0ms (1.2%)

Memory
5.0MiB live, 59.9MiB allocated; 7ms collecting garbage
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) re) #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.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))) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 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))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.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

5 calls:

42.0ms
re
6.0ms
(sin.f64 im)
6.0ms
im
5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
44.7%2(sin.f64 im)
39.9%1im
39.9%1(exp.f64 re)
39.9%1re
45.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes37.0ms (0.7%)

Memory
-33.6MiB live, 10.6MiB allocated; 6ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.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:

4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
45.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) im (/.f64 im re)) re) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) im)) re im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.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

2 calls:

4.0ms
(sin.f64 im)
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
43.7%2(sin.f64 im)
44.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes3.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
Calls

1 calls:

3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes3.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) re #s(literal 1 binary64))) im))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.0%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.2%)

Memory
-26.9MiB live, 17.2MiB allocated; 7ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
Calls

2 calls:

5.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(sin.f64 im)
Results
AccuracySegmentsBranch
41.8%2(sin.f64 im)
42.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes15.0ms (0.3%)

Memory
-2.5MiB live, 41.2MiB allocated; 6ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #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 (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
Calls

5 calls:

5.0ms
im
2.0ms
(sin.f64 im)
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
33.0%1im
33.0%1re
33.0%1(exp.f64 re)
36.9%2(sin.f64 im)
37.2%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes2.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
Calls

1 calls:

2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
36.9%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes17.0ms (0.3%)

Memory
-28.4MiB live, 34.7MiB allocated; 17ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
Outputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64)))))
Calls

5 calls:

10.0ms
im
2.0ms
(sin.f64 im)
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
29.9%2im
33.1%2re
33.1%2(exp.f64 re)
29.7%2(sin.f64 im)
33.1%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (+.f64 (*.f64 re im) im)))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
Outputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
Calls

5 calls:

2.0ms
re
2.0ms
im
1.0ms
(sin.f64 im)
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
28.0%1(sin.f64 im)
28.0%1im
28.0%1re
28.0%1(exp.f64 re)
28.0%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
-0.0
4.279792852504041e-307
0.0ms
-0.006953566415467588
0.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch76.0ms (1.4%)

Memory
-17.0MiB live, 122.3MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
1.7024587279110328e+96
1.0831337384291274e+108
18.0ms
0.5514237037008645
3801676012.908379
31.0ms
-85134241.74880892
-0.11874115625332954
Samples
38.0ms464×0valid
Compiler

Compiled 785 to 680 computations (13.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 10.0ms (54% of total)
ival-exp: 5.0ms (27% of total)
ival-mult: 3.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
-0.0
4.279792852504041e-307
0.0ms
-0.006953566415467588
0.0
0.0ms
-inf
-0.9999708845035024
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
2.253159925505101e-96
3.526996706106288e-95
0.0ms
-0.006953566415467588
0.0
0.0ms
-inf
-0.9999708845035024
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
2.253159925505101e-96
3.526996706106288e-95
0.0ms
-0.006953566415467588
0.0
0.0ms
-inf
-0.9999708845035024
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
2.253159925505101e-96
3.526996706106288e-95
0.0ms
-0.006953566415467588
0.0
0.0ms
-inf
-0.9999708845035024
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9995928197740525
+inf
0.0ms
-inf
-0.9999708845035024
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0019237008127717132
0.048150383025662116
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0
4.279792852504041e-307
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0019237008127717132
0.048150383025662116
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9940657004291309
0.9995928197740525
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify63.0ms (1.1%)

Memory
-1.4MiB live, 93.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01541152
11951102
23371090
38921090
426761090
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 -5764607523034235/1152921504606846976 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 0 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 re #s(literal -1080863910568919/9007199254740992 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 1261007895663739/2251799813685248 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 re #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) 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))) (sin.f64 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 -5764607523034235/1152921504606846976 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 0 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 -5764607523034235/1152921504606846976 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 2404907604760405/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 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 2404907604760405/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im))) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2404907604760405/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) 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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) 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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) (*.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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) (fma.f64 #s(approx (+ (* -1/5040 (* im im)) 1/120) (*.f64 #s(literal -1/5040 binary64) (*.f64 im im))) (*.f64 im im) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) (*.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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) (*.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 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 re re))) 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)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg 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))) im)))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64))))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (/ (sin im) (exp (neg re))) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (*.f64 (*.f64 (*.f64 re im) re) #s(literal 1/2 binary64))))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))

derivations952.0ms (17.4%)

Memory
10.5MiB live, 917.1MiB allocated; 162ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 122 to 158 computations (85.9% saved)

preprocess144.0ms (2.6%)

Memory
30.3MiB live, 163.8MiB allocated; 25ms collecting garbage
Remove

(negabs im)

Compiler

Compiled 2 274 to 346 computations (84.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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