Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample955.0ms (52.8%)

Memory

24.2MiB live, 1 069.0MiB allocated; 148ms collecting garbage

Samples

743.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 500.0ms

ival-exp: 227.0ms (45.4% of total)

ival-sin: 206.0ms (41.2% of total)

ival-mult!: 66.0ms (13.2% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain94.0ms (5.2%)

Memory

-4.2MiB live, 138.0MiB allocated; 20ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (exp.f64 re) (sin.f64 im))`
-	-	`(sin.f64 im)`
-	-	`re`
-	-	`(exp.f64 re)`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

68.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sin: 33.0ms (82.6% of total)

ival-exp: 4.0ms (10% of total)

ival-mult!: 3.0ms (7.5% of total)

adjust: 0.0ms (0% of total)

preprocess27.0ms (1.5%)

Memory

-6.6MiB live, 40.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	40	34
2	120	32
3	416	32
4	1696	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))

Symmetry

(negabs im)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated; 0ms collecting garbage

Counts

5 → 21

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im

Outputs
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms	re	@	0	((* (exp re) (sin im)) (exp re) re (sin im) im)
1.0ms	im	@	0	((* (exp re) (sin im)) (exp re) re (sin im) im)

rewrite199.0ms (11%)

Memory

0.8MiB live, 190.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	296
0	97	295
1	572	284
0	5413	264

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

26 → 35

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 re)
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx re #s(hole binary64 re))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))

Outputs
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(fma.f64 (cosh.f64 re) (sin.f64 im) (*.f64 (sinh.f64 re) (sin.f64 im)))
(fma.f64 (sin.f64 im) (cosh.f64 re) (*.f64 (sin.f64 im) (sinh.f64 re)))
(+.f64 (.f64 (cosh.f64 re) (sin.f64 im)) (.f64 (sinh.f64 re) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) (cosh.f64 re)) (.f64 (sin.f64 im) (sinh.f64 re)))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (sinh.f64 re) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 re))
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 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)))
#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 re re)
#s(approx (* (exp re) (sin im)) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)) im))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (fma.f64 (.f64 im (.f64 im im)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im))
#s(approx im im)
#s(approx (sin im) (sin.f64 im))

eval3.0ms (0.2%)

Memory: 4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 403 to 116 computations (71.2% saved)

prune2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Accuracy

100.0%

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	72.2%	(*.f64 (exp.f64 re) #s(approx (sin im) im))
▶	58.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
▶	51.3%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 37 to 30 computations (18.9% saved)

series8.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

13 → 47

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
#s(approx (sin im) im)

Outputs
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (+ (sin im) (* 1/2 (* re (sin im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* 1/2 (* (pow re 2) (sin im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* 1/2 (* re (sin im)))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* re (+ (* 1/2 (sin im)) (/ (sin im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (sin im) re)) (* -1/2 (sin im)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/6 (* re (+ 1 (* 1/2 re)))) 1/6)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/120 (* 1/120 (* re (+ 1 (* 1/2 re))))))) 1/6)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/120 (+ (* 1/120 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/5040 (* re (+ 1 (* 1/2 re)))) 1/5040)))))) 1/6)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/6 (+ 1 (* 1/2 re))) (* 1/120 (* (pow im 2) (+ 1 (* 1/2 re)))))))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/6 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/120 (+ 1 (* 1/2 re))))))))))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (* (sin im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* (sin im) (+ 1 (* 1/2 re)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-inf	((* (exp re) (sin im)) (sin im) im (* (exp re) (sin im)) (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (* (+ (* 1/2 re) 1) (sin im)) (+ (* 1/2 re) 1) 1/2 re 1 (* (exp re) (sin im)) (exp re) (sin im))
1.0ms	re	@	0	((* (exp re) (sin im)) (sin im) im (* (exp re) (sin im)) (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (* (+ (* 1/2 re) 1) (sin im)) (+ (* 1/2 re) 1) 1/2 re 1 (* (exp re) (sin im)) (exp re) (sin im))
1.0ms	im	@	inf	((* (exp re) (sin im)) (sin im) im (* (exp re) (sin im)) (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (* (+ (* 1/2 re) 1) (sin im)) (+ (* 1/2 re) 1) 1/2 re 1 (* (exp re) (sin im)) (exp re) (sin im))
1.0ms	re	@	inf	((* (exp re) (sin im)) (sin im) im (* (exp re) (sin im)) (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (* (+ (* 1/2 re) 1) (sin im)) (+ (* 1/2 re) 1) 1/2 re 1 (* (exp re) (sin im)) (exp re) (sin im))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (sin im) im (* (exp re) (sin im)) (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (* (+ (* 1/2 re) 1) (sin im)) (+ (* 1/2 re) 1) 1/2 re 1 (* (exp re) (sin im)) (exp re) (sin im))

rewrite172.0ms (9.5%)

Memory

-40.3MiB live, 295.5MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1003
0	221	969
1	1328	969
0	8058	930

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

60 → 118

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(exp.f64 re)
#s(approx (sin im) im)
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (+ (sin im) (* 1/2 (* re (sin im))))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (+ 1 (* 1/2 re))))
#s(approx re #s(hole binary64 re))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* 1/2 (* (pow re 2) (sin im)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (sin im)) (/ (sin im) re)))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* 1/2 (sin im)) (+ (/ (sin im) re) (/ (sin im) (pow re 2)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* 1/2 (* re (sin im)))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* re (+ (* 1/2 (sin im)) (/ (sin im) re)))))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* 1/2 re)))
#s(approx (+ (* 1/2 re) 1) #s(hole binary64 (* re (+ 1/2 (/ 1 re)))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* (pow re 2) (+ (* -1 (/ (+ (* -1 (sin im)) (* -1 (/ (sin im) re))) re)) (* 1/2 (sin im))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* -1 (* re (+ (* -1 (/ (sin im) re)) (* -1/2 (sin im)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (* re (+ 1 (* 1/2 re)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (* -1/6 (* re (+ 1 (* 1/2 re)))) 1/6)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/120 (* 1/120 (* re (+ 1 (* 1/2 re))))))) 1/6)))))))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* re (+ 1 (* 1/2 re))) (* (pow im 2) (- (+ (* -1/6 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (+ 1/120 (+ (* 1/120 (* re (+ 1 (* 1/2 re)))) (* (pow im 2) (- (* -1/5040 (* re (+ 1 (* 1/2 re)))) 1/5040)))))) 1/6)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (* 1/2 re)))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* -1/6 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/2 re))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/6 (+ 1 (* 1/2 re))) (* 1/120 (* (pow im 2) (+ 1 (* 1/2 re)))))))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* im (+ 1 (+ (* 1/2 re) (* (pow im 2) (+ (* -1/6 (+ 1 (* 1/2 re))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (+ 1 (* 1/2 re)))) (* 1/120 (+ 1 (* 1/2 re))))))))))))
#s(approx (sin im) #s(hole binary64 (sin im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) #s(hole binary64 (+ (sin im) (* re (* (sin im) (+ 1 (* 1/2 re)))))))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) #s(hole binary64 (* (sin im) (+ 1 (* 1/2 re)))))

Outputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re) (sin.f64 im)))
(/.f64 (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))) (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))))) (+.f64 (sin.f64 im) (.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))) #s(literal 3 binary64))) (fma.f64 (sin.f64 im) (sin.f64 im) (fma.f64 (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))) (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))) (.f64 (sin.f64 im) (.f64 (neg.f64 re) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (pow.f64 (sin.f64 im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (sin.f64 im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re)) (sin.f64 im))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 im) (sin.f64 im) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (pow.f64 (sin.f64 im) #s(literal 2 binary64))) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im)))
(/.f64 (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64))) (-.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64)) (pow.f64 (sin.f64 im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re)) (sin.f64 im)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64))) (fma.f64 (sin.f64 im) (sin.f64 im) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re) (sin.f64 im))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(fma.f64 (*.f64 (sin.f64 im) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))
(fma.f64 re (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) (sin.f64 im))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))) (/.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))))
(-.f64 (/.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (-.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))))
(-.f64 (sin.f64 im) (.f64 (neg.f64 re) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))))) (/.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 im) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 im) #s(literal 3 binary64)) (fma.f64 (sin.f64 im) (sin.f64 im) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))))) (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 3 binary64)) (fma.f64 (sin.f64 im) (sin.f64 im) (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) #s(literal 2 binary64)) (.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))))))
(+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)) (sin.f64 im))
(+.f64 (sin.f64 im) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (sin.f64 im) re)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im))
(*.f64 (sin.f64 im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (sin.f64 im))) (pow.f64 (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) (.f64 (sin.f64 im) #s(literal 1 binary64))) (.f64 (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re)) (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re)))) (-.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) (.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 #s(literal 1 binary64) (sin.f64 im)) (-.f64 (pow.f64 (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) (.f64 (sin.f64 im) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re)) (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re))) (.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re))))))
(fma.f64 #s(literal 1 binary64) (sin.f64 im) (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 im) #s(literal 1 binary64) (.f64 (sin.f64 im) (.f64 #s(literal 1/2 binary64) re)))
(+.f64 (.f64 #s(literal 1 binary64) (sin.f64 im)) (.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sin.f64 im) #s(literal 1 binary64)) (.f64 (sin.f64 im) (*.f64 #s(literal 1/2 binary64) re)))
(*.f64 (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)) re)
(*.f64 re (+.f64 (pow.f64 re #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal -1/2 binary64) re))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) re)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 (.f64 re (pow.f64 re #s(literal -1 binary64))) (.f64 re (pow.f64 re #s(literal -1 binary64))))) (-.f64 (.f64 #s(literal 1/2 binary64) re) (*.f64 re (pow.f64 re #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal -1/2 binary64) re) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re)))))
(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 re (pow.f64 re #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 (.f64 (.f64 re (pow.f64 re #s(literal -1 binary64))) (.f64 re (pow.f64 re #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (pow.f64 re #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (.f64 re re))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 re (pow.f64 re #s(literal -1 binary64))))
(fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) re))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) re))))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 re re)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 re re) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))))))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 re (pow.f64 re #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) re))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(*.f64 #s(approx (sin im) im) (exp.f64 re))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(/.f64 (-.f64 (.f64 (cosh.f64 re) (cosh.f64 re)) (.f64 (sinh.f64 re) (sinh.f64 re))) (-.f64 (cosh.f64 re) (sinh.f64 re)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (.f64 (sinh.f64 re) (sinh.f64 re)) (.f64 (cosh.f64 re) (sinh.f64 re)))))
(exp.f64 re)
(+.f64 (cosh.f64 re) (sinh.f64 re))
#s(approx (sin im) im)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (fma.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64) (sin.f64 im)) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 im) re) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (sin.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (fma.f64 (fma.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64) (sin.f64 im)) re (sin.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (sin.f64 im))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (fma.f64 (*.f64 (sin.f64 im) re) #s(literal 1/2 binary64) (sin.f64 im)))
#s(approx (+ (* 1/2 re) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx re re)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#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 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (* (exp re) (sin im)) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) (sin.f64 im)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)) (.f64 re re)))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (+.f64 (/.f64 (sin.f64 im) (.f64 re re)) (/.f64 (sin.f64 im) re))) (*.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (.f64 (.f64 (sin.f64 im) re) #s(literal 1/2 binary64)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (/.f64 (sin.f64 im) re)) re))
#s(approx (+ (* 1/2 re) 1) (*.f64 #s(literal 1/2 binary64) re))
#s(approx (+ (* 1/2 re) 1) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))
#s(approx (exp re) (exp.f64 re))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (fma.f64 #s(literal 1/2 binary64) (sin.f64 im) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 im) re) (neg.f64 (sin.f64 im))) re))) (.f64 re re)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 im) (/.f64 (neg.f64 (sin.f64 im)) re)) re)))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) (exp.f64 re) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) (exp.f64 re) (.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 im im)) (exp.f64 re) (.f64 #s(literal 1/120 binary64) (exp.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (exp.f64 re))) (*.f64 im im) (exp.f64 re)) im))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.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))
#s(approx im im)
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/6 binary64)) (*.f64 im im))) im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/120 binary64)) (.f64 im im))) #s(literal 1/6 binary64)) (.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) re) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1/120 binary64)) (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1/5040 binary64)) (.f64 im im))) (.f64 im im))) #s(literal 1/6 binary64)) (.f64 im im) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)) #s(literal 1 binary64)) im))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (.f64 (+.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64)) im))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (.f64 im im))) im))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 im im) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)))) (.f64 im im))) im))
#s(approx (sin im) (sin.f64 im))
#s(approx (+ (* (* (+ (* 1/2 re) 1) (sin im)) re) (sin im)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (*.f64 (sin.f64 im) re) (sin.f64 im)))
#s(approx (* (+ (* 1/2 re) 1) (sin im)) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)))

eval13.0ms (0.7%)

Memory: 42.5MiB live, 42.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 417 to 568 computations (83.4% saved)

prune5.0ms (0.3%)

Memory

-36.3MiB live, 9.8MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	115	5	120

Accuracy

100.0%

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	72.2%	(*.f64 (exp.f64 re) #s(approx (sin im) im))
▶	29.9%	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
✓	58.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
✓	51.3%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 46 to 38 computations (17.4% saved)

series2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

5 → 20

Calls

Call 1

Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin im) im)
im

Outputs
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) 1 (sin im) im)
0.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) 1 (sin im) im)
0.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) 1 (sin im) im)
0.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) 1 (sin im) im)
0.0ms	im	@	0	((* (exp re) (sin im)) (exp re) 1 (sin im) im)

rewrite140.0ms (7.7%)

Memory

35.6MiB live, 177.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	301
0	93	300
1	569	289
0	5409	269

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 26

Calls

Call 1

Inputs
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin im) im)
im
#s(approx (* (exp re) (sin im)) #s(hole binary64 (sin im)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (sin im)))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))))
#s(approx (exp re) #s(hole binary64 1))
#s(approx (exp re) #s(hole binary64 (+ 1 re)))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* 1/2 re))))))
#s(approx (exp re) #s(hole binary64 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* (exp re) (sin im))))
#s(approx (exp re) #s(hole binary64 (exp re)))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (exp re))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))))
#s(approx (* (exp re) (sin im)) #s(hole binary64 (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))))
#s(approx (sin im) #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* -1/6 (pow im 2))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))))
#s(approx (sin im) #s(hole binary64 (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))))
#s(approx im #s(hole binary64 im))
#s(approx (sin im) #s(hole binary64 (sin im)))

Outputs
(*.f64 #s(approx (sin im) im) #s(approx (exp re) #s(literal 1 binary64)))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
#s(approx (exp re) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sin im) im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im)))
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (exp re) (-.f64 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)))
#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) (sin im)) (*.f64 (sin.f64 im) (exp.f64 re)))
#s(approx (exp re) (exp.f64 re))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (exp.f64 re)) im))
#s(approx (* (exp re) (sin im)) (.f64 (fma.f64 (fma.f64 (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (exp.f64 re))) (.f64 im im) (exp.f64 re)) im))
#s(approx (sin im) im)
#s(approx (sin im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im))
#s(approx (sin im) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) im))
#s(approx (sin im) (fma.f64 (.f64 im (.f64 im im)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im))
#s(approx im im)
#s(approx (sin im) (sin.f64 im))

eval3.0ms (0.2%)

Memory: -42.0MiB live, 4.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 274 to 79 computations (71.2% saved)

prune2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	17	5	22

Accuracy

100.0%

Counts

22 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	72.2%	(*.f64 (exp.f64 re) #s(approx (sin im) im))
✓	29.9%	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
✓	58.8%	#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))
✓	51.3%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 92 to 57 computations (38% saved)

regimes10.0ms (0.5%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))
(*.f64 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im)))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

Calls

5 calls:

2.0ms	im
2.0ms	(sin.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`(sin.f64 im)`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.5%)

Memory

-25.6MiB live, 21.7MiB allocated; 2ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))

Outputs
(*.f64 (exp.f64 re) #s(approx (sin im) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 (exp.f64 re) #s(approx (sin im) im))

Calls

5 calls:

2.0ms	(sin.f64 im)
2.0ms	re
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
78.3%	2	`(sin.f64 im)`
93.4%	3	`(exp.f64 re)`
93.6%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`
93.4%	3	`re`
75.2%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.3%)

Memory

18.2MiB live, 18.2MiB allocated; 0ms collecting garbage

Accuracy

Total -13.8b remaining (-44.3%)

Threshold costs -13.8b (-44.3%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) #s(approx (sin im) im))

Outputs
#s(approx (* (exp re) (sin im)) (sin.f64 im))

Calls

5 calls:

1.0ms	(sin.f64 im)
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im
1.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
51.3%	1	`im`
51.3%	1	`(sin.f64 im)`
51.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
51.3%	1	`(exp.f64 re)`
51.3%	1	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch29.0ms (1.6%)

Memory

7.9MiB live, 54.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.779189206805928e-15	3.237893682080371e-5
11.0ms	-1.4945144987779612e-5	-1.3713736895211596e-7

Samples

18.0ms

272×

valid

Compiler

Compiled 263 to 265 computations (-0.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sin: 6.0ms (50.3% of total)

ival-exp: 4.0ms (33.6% of total)

ival-mult!: 1.0ms (8.4% of total)

adjust: 0.0ms (0% of total)

derivations92.0ms (5.1%)

Memory

-40.4MiB live, 66.7MiB allocated; 80ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 43 to 17 computations (60.5% saved)

preprocess29.0ms (1.6%)

Memory: 17.2MiB live, 61.2MiB allocated; 7ms collecting garbage
Remove: (negabs im)
Compiler: Compiled 182 to 100 computations (45.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample955.0ms (52.8%)

explain94.0ms (5.2%)

preprocess27.0ms (1.5%)

series5.0ms (0.3%)

rewrite199.0ms (11%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

series8.0ms (0.5%)

rewrite172.0ms (9.5%)

eval13.0ms (0.7%)

prune5.0ms (0.3%)

series2.0ms (0.1%)

rewrite140.0ms (7.7%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes10.0ms (0.5%)

regimes8.0ms (0.5%)

regimes6.0ms (0.3%)

bsearch29.0ms (1.6%)

derivations92.0ms (5.1%)

preprocess29.0ms (1.6%)

end0.0ms (0%)

Profiling