math.exp on complex, imaginary part

Time bar (total: 4.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample605.0ms (13.4%)

Memory
4.6MiB live, 190.1MiB allocated
Samples
423.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 282.0ms
ival-sin: 164.0ms (58.1% of total)
ival-exp: 63.0ms (22.3% of total)
ival-mult: 47.0ms (16.6% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain52.0ms (1.2%)

Memory
0.0MiB live, 26.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (exp.f64 re) (sin.f64 im))
00-0-(sin.f64 im)
00-0-re
00-0-(exp.f64 re)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Total Time
15.99365234375
Average Time
0.06247520446777344
Samples
28.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 11.0ms (63% of total)
ival-exp: 3.0ms (17.2% of total)
ival-mult: 3.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess20.0ms (0.4%)

Memory
-1.6MiB live, 6.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
13829
27727
314827
428127
542827
645127
746527
847227
947227
055
085
195
095
Stop Event
iter limit
saturated
iter limit
saturated
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
1911
0911
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 re)
re
(sin.f64 im)
im

localize19.0ms (0.4%)

Memory
-0.9MiB live, 6.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 im)
accuracy0
(exp.f64 re)
accuracy0.0078125
(*.f64 (exp.f64 re) (sin.f64 im))
Samples
15.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 5.0ms (53.5% of total)
ival-exp: 3.0ms (32.1% of total)
ival-mult: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
3 → 18
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
Calls

6 calls:

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

simplify163.0ms (3.6%)

Memory
-1.3MiB live, 37.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071192
1221181
2584169
31576163
42434163
53117163
63586163
73734163
84023163
95952163
08239141
Stop Event
iter limit
node limit
Counts
18 → 17
Calls
Call 1
Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(*.f64 (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))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) im) (exp.f64 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))))))))
(*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) 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 #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)

rewrite12.0ms (0.3%)

Memory
-2.5MiB live, 5.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
089
199
099
Stop Event
iter limit
saturated
iter limit
Counts
3 → 4
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)
Outputs
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
(sin.f64 im)

eval2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Compiler

Compiled 262 to 64 computations (75.6% saved)

prune4.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New14721
Fresh000
Picked011
Done000
Total14822
Accuracy
100.0%
Counts
22 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.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))
65.9%
(*.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))
55.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
55.7%
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
59.9%
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
66.0%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
54.9%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify9.0ms (0.2%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025149
043149
161149
281149
3148149
4258149
5312149
6329149
0329149
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (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))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im

localize57.0ms (1.3%)

Memory
-2.5MiB live, 23.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy21.75491898195812
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) re)
accuracy0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy28.269623283892514
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy0
(exp.f64 re)
accuracy0.0078125
(*.f64 (exp.f64 re) im)
accuracy21.746086458003177
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy0
(sin.f64 im)
accuracy28.851478802593437
#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy0.0390625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy0.04296875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy18.673670510937693
#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)))
Samples
42.0ms256×0valid
Compiler

Compiled 255 to 47 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (35% of total)
ival-sin: 7.0ms (24.5% of total)
ival-add: 6.0ms (21% of total)
const: 3.0ms (10.5% of total)
ival-exp: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-3.6MiB live, 4.0MiB allocated
Counts
17 → 43
Calls
Call 1
Inputs
(*.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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
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))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(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)))))
(* im (exp re))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 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 (* -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
2.0ms
re
@inf
((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
2.0ms
re
@-inf
((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms
re
@0
((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms
im
@-inf
((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms
im
@0
((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))

simplify144.0ms (3.2%)

Memory
10.3MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125381
1406366
21119344
33958338
47383338
08095287
Stop Event
iter limit
node limit
Counts
43 → 41
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))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(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)))))
(* im (exp re))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 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 (* -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))
(+ 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))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 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 (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)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (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))
(* im (exp re))
(*.f64 im (exp.f64 re))
re
(* re (+ 1 (/ 1 re)))
(+.f64 #s(literal 1 binary64) re)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 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 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(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 (+ (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 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64))) im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)

rewrite137.0ms (3%)

Memory
0.4MiB live, 54.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025128
043128
1128128
2826128
08345128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 426
Calls
Call 1
Inputs
(*.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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
Outputs
(*.f64 (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))))
(*.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)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (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)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(*.f64 (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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (pow.f64 (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)) #s(literal -1 binary64))))
(*.f64 (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)) #s(literal 1 binary64))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))))
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.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))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval81.0ms (1.8%)

Memory
-7.4MiB live, 44.7MiB allocated
Compiler

Compiled 13 128 to 2 188 computations (83.3% saved)

prune22.0ms (0.5%)

Memory
-0.4MiB live, 25.8MiB allocated
Pruning

24 alts after pruning (18 fresh and 6 done)

PrunedKeptTotal
New45417471
Fresh112
Picked055
Done011
Total45524479
Accuracy
100.0%
Counts
479 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.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))
41.8%
(*.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
70.8%
(*.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)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
65.9%
(*.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))
39.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
55.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
35.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)))
34.9%
(*.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)))
19.2%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
19.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
14.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
14.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
59.9%
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
66.0%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
54.9%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
38.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
36.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
32.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
34.4%
#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)))
33.3%
#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 889 to 626 computations (29.6% saved)

simplify44.0ms (1%)

Memory
-1.2MiB live, 6.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#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))
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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)))
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
cost-diff0
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
cost-diff0
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
cost-diff0
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
cost-diff0
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
cost-diff0
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
cost-diff0
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
cost-diff0
(fma.f64 im re im)
cost-diff0
#s(approx (* (exp re) im) (fma.f64 im re im))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
cost-diff0
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
cost-diff128
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050356
075353
1125353
2217353
3490353
41082353
51291353
61517353
71529353
81529353
91535353
101535353
111553353
121553353
01553341
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(*.f64 re re)
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
im
re
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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 (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#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))
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))
(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 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 (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))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
#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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(*.f64 re re)
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
im
re
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) re) re))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) re)
(*.f64 re re)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #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 #s(approx (sin im) (fma.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)) (pow.f64 im #s(literal 3 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#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 (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)) (pow.f64 im #s(literal 3 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)
(fma.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)) (pow.f64 im #s(literal 3 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
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))
(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))
(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))
#s(literal -1/5040 binary64)
(*.f64 im im)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)

localize100.0ms (2.2%)

Memory
2.7MiB live, 41.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.04296875
(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))
accuracy0.05859375
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy28.269623283892514
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy31.613409741327846
#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))
accuracy0.05078125
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy18.673670510937693
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
accuracy34.0426766595746
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
accuracy0
(sin.f64 im)
accuracy0.0078125
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
accuracy21.75491898195812
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
accuracy34.173826081892734
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
accuracy0
(fma.f64 im re im)
accuracy21.746086458003177
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy23.860676825852302
#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy0.0078125
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
accuracy0.12890625
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy18.673670510937693
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
Samples
74.0ms256×0valid
Compiler

Compiled 557 to 95 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 20.0ms (36.3% of total)
ival-add: 12.0ms (21.8% of total)
const: 10.0ms (18.2% of total)
ival-sin: 7.0ms (12.7% of total)
ival-exp: 2.0ms (3.6% of total)
ival-pow: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-0.7MiB live, 6.6MiB allocated
Counts
23 → 57
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re 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)) (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) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#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))
(sin.f64 im)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 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))
Outputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1/2
(+ 1/2 (* 1/6 re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/2 (pow re 2))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (exp re) (sin im))
(exp re)
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* re (+ 1 (/ 1 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -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 (* im (- (* -1 re) 1)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
re
@0
((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (sin im) (* (+ (* 1/6 re) 1/2) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms
re
@-inf
((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (sin im) (* (+ (* 1/6 re) 1/2) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms
re
@inf
((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (sin im) (* (+ (* 1/6 re) 1/2) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms
im
@0
((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (sin im) (* (+ (* 1/6 re) 1/2) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))
2.0ms
im
@inf
((+ (* (+ (* 1/6 re) 1/2) (* re re)) (+ 1 re)) (* (exp re) (sin im)) (exp re) (+ (* 1/6 re) 1/2) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (sin im) (* (+ (* 1/6 re) 1/2) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6))

simplify140.0ms (3.1%)

Memory
3.4MiB live, 41.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149471
1470460
21284445
33915442
46703440
08493385
Stop Event
iter limit
node limit
Counts
57 → 55
Calls
Call 1
Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1/2
(+ 1/2 (* 1/6 re))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/2 (pow re 2))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/2 re)
(* re (+ 1/2 (* 1/6 re)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (exp re) (sin im))
(exp re)
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* re (+ 1 (/ 1 re)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
-1/6
(- (* 1/120 (pow im 2)) 1/6)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -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 (* im (- (* -1 re) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 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)
(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)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
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))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(* 1/2 (pow re 2))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
re
(* re (+ 1 (* 1/2 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* 1/6 (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))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(fma.f64 im re im)
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 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)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) re) (*.f64 re re))) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im 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 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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))))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (exp.f64 re) (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))) (*.f64 im (exp.f64 re)))
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
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))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow im 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 im im) #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))
(* -1/5040 (pow im 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 im im))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 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 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 4 binary64)))
(* -1 (* im (- (* -1 re) 1)))
(fma.f64 im re im)

rewrite149.0ms (3.3%)

Memory
5.7MiB live, 58.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050296
075293
1275293
21928293
08674281
Stop Event
iter limit
node limit
iter limit
Counts
23 → 362
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 im re im)
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))
(*.f64 (*.f64 re re) #s(literal 1/2 binary64))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re 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)) (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) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#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))
(sin.f64 im)
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 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))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 re re (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 re (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 re re))) (neg.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 re re) (*.f64 (fma.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re #s(literal 1 binary64)) re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) re) (-.f64 (+.f64 #s(literal 1 binary64) re) (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re)) (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re) (pow.f64 (+.f64 #s(literal 1 binary64) re) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re) (-.f64 (-.f64 (*.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) re) #s(literal 1 binary64)) re)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))
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(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 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)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.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)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(pow.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)) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.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 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (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 (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)) #s(literal 1/36 binary64))) (*.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)) (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 (-.f64 #s(literal 1/36 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im)))
(/.f64 #s(literal -1 binary64) (neg.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)) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64)) (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 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) (*.f64 im #s(literal -1/6 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im #s(literal -1/6 binary64))
(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))
(fma.f64 (*.f64 im im) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 im (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))) (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))) (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 #s(literal 1/36 binary64) (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 (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) im) im))

eval55.0ms (1.2%)

Memory
1.0MiB live, 44.2MiB allocated
Compiler

Compiled 17 008 to 2 230 computations (86.9% saved)

prune48.0ms (1.1%)

Memory
-14.3MiB live, 26.3MiB allocated
Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New4586464
Fresh21113
Picked235
Done066
Total46226488
Accuracy
100.0%
Counts
488 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.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))
41.8%
(*.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
70.8%
(*.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)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
65.9%
(*.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))
39.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
60.0%
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
55.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
35.3%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)))
34.9%
(*.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(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
19.2%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im))
14.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
19.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
14.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
59.9%
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
66.0%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
54.9%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
38.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
36.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
32.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
7.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
34.4%
#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)))
33.3%
#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 1 018 to 688 computations (32.4% saved)

simplify101.0ms (2.2%)

Memory
6.7MiB live, 27.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(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))
cost-diff0
(fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
cost-diff0
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff0
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))
cost-diff0
(+.f64 #s(literal 1 binary64) re)
cost-diff0
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff0
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
cost-diff0
(*.f64 im re)
cost-diff0
#s(approx (+ (* im re) im) (*.f64 im re))
cost-diff0
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
cost-diff0
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
cost-diff0
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff128
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
cost-diff128
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058448
096448
1155448
2260448
3565446
41526446
53802446
66332446
08129429
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(literal 1/36 binary64)
(*.f64 re re)
re
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
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(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (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)) (*.f64 im im) #s(literal 1 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)
im
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(exp.f64 re)
re
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64))
(fma.f64 (/.f64 re (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
(fma.f64 #s(literal -1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
(*.f64 (*.f64 re re) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
re
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/6 binary64) re)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im re)
im
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(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (sin im) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))
#s(approx (sin im) (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)
(fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (pow.f64 im #s(literal 3 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64))
#s(literal -1/6 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
#s(approx (sin im) (fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(pow.f64 im #s(literal 3 binary64))
im
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (*.f64 (fma.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)) (pow.f64 im #s(literal 3 binary64)) im) (exp.f64 re)))
(*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)
(*.f64 (fma.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)) (pow.f64 im #s(literal 3 binary64)) im) (exp.f64 re))
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(*.f64 (fma.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) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64))
(fma.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) #s(literal 1 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 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #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))
(fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 im im)
im
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(exp.f64 re)
re

localize117.0ms (2.6%)

Memory
0.7MiB live, 47.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64))
accuracy0.05859375
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy5.171846103387093
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
accuracy20.40486046557711
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
accuracy0.0078125
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
accuracy0.2734786880180149
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy21.75491898195812
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy31.550696456530154
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy0.015625
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)
accuracy28.269623283892514
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy31.144551207962564
#s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64))
accuracy31.613409741327846
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im))
accuracy0
(*.f64 im re)
accuracy21.746086458003177
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
accuracy23.860676825852302
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
accuracy34.009435218229015
#s(approx (+ (* im re) im) (*.f64 im re))
accuracy0.14453125
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
accuracy0.3359375
(*.f64 #s(literal 1/6 binary64) re)
accuracy12.923377370292036
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
accuracy18.673670510937693
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
Samples
84.0ms256×0valid
Compiler

Compiled 759 to 109 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 25.0ms (39.4% of total)
const: 13.0ms (20.5% of total)
ival-add: 11.0ms (17.3% of total)
ival-sin: 6.0ms (9.4% of total)
ival-pow: 3.0ms (4.7% of total)
ival-exp: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-div: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-6.5MiB live, 10.1MiB allocated
Counts
28 → 85
Calls
Call 1
Inputs
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im 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(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (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)) (*.f64 im im) #s(literal 1 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))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
Outputs
1/4
(+ 1/4 (* -1/36 (pow re 2)))
1/2
(+ 1/2 (* -1/6 re))
(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))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ 1 (* 1/2 re))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* 1/36 (pow re 2))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* re (+ im (/ im re)))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* -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))))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-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 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 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 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)))))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 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))))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
im
@inf
((- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (sin im)) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (/ (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re))) (* 1/6 re) (* 1/36 (* re re)) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (sin im) (+ (* (pow im 3) -1/6) im) (+ (* -1/5040 (* im im)) 1/120))
3.0ms
re
@inf
((- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (sin im)) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (/ (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re))) (* 1/6 re) (* 1/36 (* re re)) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (sin im) (+ (* (pow im 3) -1/6) im) (+ (* -1/5040 (* im im)) 1/120))
3.0ms
re
@0
((- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (sin im)) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (/ (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re))) (* 1/6 re) (* 1/36 (* re re)) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (sin im) (+ (* (pow im 3) -1/6) im) (+ (* -1/5040 (* im im)) 1/120))
3.0ms
re
@-inf
((- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (sin im)) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (/ (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re))) (* 1/6 re) (* 1/36 (* re re)) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (sin im) (+ (* (pow im 3) -1/6) im) (+ (* -1/5040 (* im im)) 1/120))
3.0ms
im
@-inf
((- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re)) (* (exp re) (sin im)) (exp re) (* (exp re) (sin im)) (* (exp re) im) (+ (* im re) im) (* im re) (* (exp re) (sin im)) (exp re) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (/ (- 1/4 (* 1/36 (* re re))) (- 1/2 (* 1/6 re))) (* 1/6 re) (* 1/36 (* re re)) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (+ (* (pow im 3) (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6)) im) (sin im) (+ (* (pow im 3) -1/6) im) (+ (* -1/5040 (* im im)) 1/120))

simplify134.0ms (3%)

Memory
1.8MiB live, 35.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02091002
1651955
21809886
34774870
47431870
08158784
Stop Event
iter limit
node limit
Counts
85 → 83
Calls
Call 1
Inputs
1/4
(+ 1/4 (* -1/36 (pow re 2)))
1/2
(+ 1/2 (* -1/6 re))
(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))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* im re)
(+ 1 (* 1/2 re))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(+ 1/2 (* 1/6 re))
(* 1/6 re)
(* 1/36 (pow re 2))
(* -1/36 (pow re 2))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(* -1/6 re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(* (exp re) (sin im))
(exp re)
(* im (exp re))
(* re (+ im (/ im re)))
re
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1 re))
(* im (+ 1 (* -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))))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
-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 6) (exp re)))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(* -1/5040 (pow im 6))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (pow im 6) (- (+ (* 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 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)))))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* -1 (* im (- (* -1 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))))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
Outputs
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/36 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 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)
(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 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 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))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
(* im re)
(*.f64 im re)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))
(fma.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) #s(literal 1 binary64))
(+ 1 (+ (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* 1/2 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))
(+ 1 (+ (* re (+ 1 (+ (* re (+ (* 1/6 (* re (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* 1/2 (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))) (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* 1/36 (pow re 2))
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
(* -1/36 (pow re 2))
(*.f64 (*.f64 re re) #s(literal -1/36 binary64))
(* (pow re 2) (- (* 1/4 (/ 1 (pow re 2))) 1/36))
(fma.f64 (*.f64 re re) #s(literal -1/36 binary64) #s(literal 1/4 binary64))
(* -1/6 re)
(*.f64 #s(literal -1/6 binary64) re)
(* re (- (* 1/2 (/ 1 re)) 1/6))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
(* im (exp re))
(*.f64 im (exp.f64 re))
(* re (+ im (/ im re)))
(fma.f64 im re im)
re
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 binary64))
(* 1/2 (pow re 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) re) re)
(* (pow re 2) (+ 1/2 (/ 1 re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(*.f64 (fma.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) #s(literal 1 binary64)) (exp.f64 re))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* -1 (* re (- 1/6 (* 1/2 (/ 1 re)))))
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(fma.f64 im re im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(*.f64 (*.f64 (exp.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 (fma.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) #s(literal 1 binary64)) (exp.f64 re)) im)
(* im (+ 1 re))
(fma.f64 im re im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (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 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(*.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))
(*.f64 (exp.f64 re) (fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))
(+ (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 (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) #s(literal 1 binary64)) (exp.f64 re))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(fma.f64 (fma.f64 (*.f64 im im) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 (*.f64 im im) #s(literal -1/5040 binary64) #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 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* -1/5040 (* (pow im 6) (exp re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64)) (exp.f64 re))
(* (pow im 6) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2)))))
(*.f64 (*.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (* 1/120 (/ (exp re) (pow im 2))))))
(*.f64 (*.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im))))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (+ (* -1/6 (/ (exp re) (pow im 4))) (+ (* -1/5040 (exp re)) (+ (* 1/120 (/ (exp re) (pow im 2))) (/ (exp re) (pow im 6))))))
(*.f64 (fma.f64 (exp.f64 re) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (/.f64 (exp.f64 re) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64)))
(* -1/5040 (pow im 6))
(*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow im 6) (- (* 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 6 binary64)))
(* (pow im 6) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 binary64)))
(* (pow im 6) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 6 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 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)) (pow.f64 im #s(literal 4 binary64)))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))) (pow.f64 im #s(literal 4 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 (pow.f64 im #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))
(* (pow im 7) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))))
(* (pow im 7) (- (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/5040 binary64))))
(* -1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* -1/5040 (pow im 2))
(*.f64 (*.f64 im im) #s(literal -1/5040 binary64))
(* (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)))
(fma.f64 im re im)
(* -1 (* (pow im 7) (- 1/5040 (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) #s(literal 1/5040 binary64)))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (* 1/120 (/ 1 (pow im 2))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 im im)))))
(* -1 (* (pow im 7) (- (+ 1/5040 (/ 1/6 (pow im 4))) (+ (* 1/120 (/ 1 (pow im 2))) (/ 1 (pow im 6))))))
(*.f64 (pow.f64 im #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 im im)) (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/5040 binary64))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)

rewrite140.0ms (3.1%)

Memory
2.4MiB live, 56.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058350
096350
1317326
22173326
08098318
Stop Event
iter limit
node limit
iter limit
Counts
28 → 445
Calls
Call 1
Inputs
(-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))
#s(approx (+ (* im re) im) (*.f64 im re))
(*.f64 im 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(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (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)) (*.f64 im im) #s(literal 1 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))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(*.f64 #s(literal 1/6 binary64) re)
(*.f64 #s(literal 1/36 binary64) (*.f64 re re))
#s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
Outputs
(*.f64 (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 re re) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/144 binary64) (*.f64 re re) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 re re)) #s(literal 1/4 binary64)))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64)) #s(literal -1/14400 binary64))))
(/.f64 #s(literal 1 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 -1/128024064000 binary64) (pow.f64 im #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) im) im #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 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 im im) #s(literal -1/5040 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal -1/120 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)))

eval67.0ms (1.5%)

Memory
0.4MiB live, 51.2MiB allocated
Compiler

Compiled 19 700 to 2 932 computations (85.1% saved)

prune43.0ms (1%)

Memory
-0.9MiB live, 30.3MiB allocated
Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New5039512
Fresh6612
Picked415
Done099
Total51325538
Accuracy
100.0%
Counts
538 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (exp.f64 re) (sin.f64 im))
70.8%
(*.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))
70.8%
(*.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)) (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))
70.5%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/4 (* 1/36 (* re re))) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
65.9%
(*.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))
39.1%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
70.8%
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
55.7%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
34.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
34.9%
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
19.2%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (sin.f64 im))
14.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
19.4%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
14.6%
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
63.4%
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
66.0%
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
34.4%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
42.5%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
39.2%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
35.3%
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
54.9%
#s(approx (* (exp re) (sin im)) (sin.f64 im))
38.2%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
36.0%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
32.9%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
7.3%
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
Compiler

Compiled 1 738 to 659 computations (62.1% saved)

regimes54.0ms (1.2%)

Memory
1.7MiB live, 24.6MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (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))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (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 #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))) #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)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)) #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 (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.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)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/4 (* 1/36 (* re re))) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
Calls

5 calls:

11.0ms
(sin.f64 im)
11.0ms
im
11.0ms
re
10.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(*.f64 (exp.f64 re) (sin.f64 im))
100.0%1(exp.f64 re)
100.0%1(sin.f64 im)
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes51.0ms (1.1%)

Memory
-0.7MiB live, 23.7MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 re re) re))) (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))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (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 #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))) #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)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)) #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 (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 (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)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.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)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (- 1/4 (* 1/36 (* re re))) (*.f64 (*.f64 re re) #s(literal -1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 re re)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 re re) (+.f64 #s(literal 1 binary64) re))) (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 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
Calls

5 calls:

11.0ms
im
10.0ms
(sin.f64 im)
10.0ms
re
9.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
98.4%4re
85.7%2im
99.3%5(*.f64 (exp.f64 re) (sin.f64 im))
94.2%3(exp.f64 re)
85.9%3(sin.f64 im)
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes14.0ms (0.3%)

Memory
-0.4MiB live, 7.5MiB allocated
Counts
22 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

2 calls:

7.0ms
re
6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.3%5(*.f64 (exp.f64 re) (sin.f64 im))
96.9%4re
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes7.0ms (0.2%)

Memory
-3.5MiB live, 4.2MiB allocated
Counts
21 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
99.0%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
20 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (*.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im)))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 #s(approx (+ (* 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
98.8%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-2.0MiB live, 5.8MiB allocated
Counts
14 → 5
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
Calls

2 calls:

5.0ms
re
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
91.2%3re
98.4%5(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes21.0ms (0.5%)

Memory
-4.6MiB live, 12.0MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

5 calls:

4.0ms
(sin.f64 im)
4.0ms
im
4.0ms
re
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
62.7%3(sin.f64 im)
61.9%2im
68.7%2re
68.7%2(exp.f64 re)
70.7%3(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes20.0ms (0.4%)

Memory
3.7MiB live, 11.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

5 calls:

4.0ms
im
4.0ms
(sin.f64 im)
4.0ms
re
4.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
48.1%2(sin.f64 im)
42.5%1im
42.5%1re
42.5%1(exp.f64 re)
45.5%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.2%)

Memory
-2.9MiB live, 4.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

2 calls:

4.0ms
(sin.f64 im)
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
45.0%2(*.f64 (exp.f64 re) (sin.f64 im))
45.1%2(sin.f64 im)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
Outputs
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

2 calls:

3.0ms
(sin.f64 im)
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
45.0%2(*.f64 (exp.f64 re) (sin.f64 im))
44.9%2(sin.f64 im)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes7.0ms (0.2%)

Memory
-6.2MiB live, 4.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.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) #s(literal 1 binary64))) im))
Outputs
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

2 calls:

4.0ms
(sin.f64 im)
3.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.9%2(sin.f64 im)
44.6%2(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes6.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im)) im im)))
Outputs
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

2 calls:

3.0ms
(sin.f64 im)
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
Results
AccuracySegmentsBranch
44.6%2(*.f64 (exp.f64 re) (sin.f64 im))
44.5%2(sin.f64 im)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes10.0ms (0.2%)

Memory
0.3MiB live, 8.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
Calls

5 calls:

2.0ms
(sin.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
38.2%1re
38.2%1(exp.f64 re)
38.2%1im
38.2%1(sin.f64 im)
38.2%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes9.0ms (0.2%)

Memory
-0.1MiB live, 7.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
Calls

5 calls:

2.0ms
(sin.f64 im)
2.0ms
im
2.0ms
re
2.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
36.0%1re
36.0%1(exp.f64 re)
36.0%1im
36.0%1(sin.f64 im)
36.0%1(*.f64 (exp.f64 re) (sin.f64 im))
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.2%)

Memory
-0.7MiB live, 7.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
Outputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
Calls

5 calls:

2.0ms
(sin.f64 im)
1.0ms
re
1.0ms
im
1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
32.9%1re
32.9%1im
32.9%1(exp.f64 re)
32.9%1(*.f64 (exp.f64 re) (sin.f64 im))
32.9%1(sin.f64 im)
Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory
-1.3MiB live, 6.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms
(sin.f64 im)
1.0ms
im
1.0ms
re
1.0ms
(exp.f64 re)
Results
AccuracySegmentsBranch
7.3%1re
7.3%1im
7.3%1(exp.f64 re)
7.3%1(*.f64 (exp.f64 re) (sin.f64 im))
7.3%1(sin.f64 im)
Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch40.0ms (0.9%)

Memory
3.8MiB live, 11.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.486765632349106e+98
2.2950754665655693e+104
8.0ms
2.832179064046391e-10
6.072080052997932e-10
16.0ms
-319542058201568450.0
-2.721680342826748e-6
Samples
22.0ms400×0valid
Compiler

Compiled 1 012 to 805 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 8.0ms (55.2% of total)
ival-exp: 4.0ms (27.6% of total)
ival-mult: 2.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
-7.3MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988133692274328
+inf
0.0ms
8.886939784836503e-137
5.303922971200889e-135
0.0ms
-0.008931202519840262
-0.0
0.0ms
-inf
-9790.095772268121
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988133692274328
+inf
0.0ms
8.886939784836503e-137
5.303922971200889e-135
0.0ms
-0.008931202519840262
-0.0
0.0ms
-inf
-9790.095772268121
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988133692274328
+inf
0.0ms
8.886939784836503e-137
5.303922971200889e-135
0.0ms
-0.008931202519840262
-0.0
0.0ms
-inf
-9790.095772268121
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988133692274328
+inf
0.0ms
8.886939784836503e-137
5.303922971200889e-135
0.0ms
-0.008931202519840262
-0.0
0.0ms
-inf
-9790.095772268121
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9988133692274328
+inf
0.0ms
-inf
-9790.095772268121
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013750280622776623
0.034358465152895014
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.321671621960477e-241
9.24051370921139e-237
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013750280622776623
0.034358465152895014
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.321671621960477e-241
9.24051370921139e-237
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0013750280622776623
0.034358465152895014
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify28.0ms (0.6%)

Memory
4.7MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381235
11661235
21691235
31701235
41711235
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -7194230188746725/18446744073709551616 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 1450710983537555/2417851639229258349412352 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 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (*.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im)))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) 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 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 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)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 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)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 5237424972633827/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)) (if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 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 (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))))
(if (<=.f64 (sin.f64 im) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.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) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (fma.f64 (fma.f64 (fma.f64 (*.f64 im im) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.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) #s(literal 1 binary64))) re (fma.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) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 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))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
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(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (* (+ (* (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) (* im im)) 1) (exp re)) (*.f64 (-.f64 re #s(literal -1 binary64)) (fma.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) #s(literal 1 binary64)))) im)) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 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))) #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (sin.f64 im) #s(literal 1876879207201175/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (*.f64 #s(approx (sin im) (fma.f64 (*.f64 im im) (*.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (*.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (*.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (sin im) (fma.f64 (*.f64 #s(approx (+ (* (+ (* -1/5040 (* im im)) 1/120) (* im im)) -1/6) #s(literal -1/6 binary64)) im) (*.f64 im im) im)) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

soundness1.6s (35.7%)

Memory
-0.7MiB live, 14.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071192
1221181
2584169
31576163
42434163
53117163
63586163
73734163
84023163
95952163
08239141
058350
096350
1317326
22173326
08098318
02091002
1651955
21809886
34774870
47431870
08158784
0149471
1470460
21284445
33915442
46703440
08493385
0125381
1406366
21119344
33958338
47383338
08095287
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 504 to 397 computations (73.6% saved)

preprocess82.0ms (1.8%)

Memory
-0.1MiB live, 52.4MiB allocated
Remove

(negabs im)

Compiler

Compiled 2 510 to 328 computations (86.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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