Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

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)

sample913.0ms (6%)

Memory

0.7MiB live, 1 164.3MiB allocated

Samples

629.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-sin: 193.0ms (51.5% of total)

ival-mult: 101.0ms (27% of total)

ival-exp: 71.0ms (19% of total)

ival-true: 6.0ms (1.6% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain67.0ms (0.4%)

Memory

-6.0MiB live, 117.4MiB allocated

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

32.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 10.0ms (50% of total)

ival-mult: 5.0ms (25% of total)

ival-exp: 4.0ms (20% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess30.0ms (0.2%)

Memory

-18.9MiB live, 19.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 im)
cost-diff	0	(exp.f64 re)
cost-diff	0	(*.f64 (exp.f64 re) (sin.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	9	11
0	9	11

Stop Event

1×	iter limit
1×	saturated
1×	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

localize54.0ms (0.4%)

Memory

-13.1MiB live, 25.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 re)
accuracy	0.00390625	(sin.f64 im)
accuracy	0.01953125	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

15.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 5.0ms (56.3% of total)

ival-exp: 2.0ms (22.5% of total)

ival-mult: 2.0ms (22.5% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (exp.f64 re) (sin.f64 im)) (patch (*.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())

#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())

#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf re) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (exp re) (taylor -inf re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re))))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re)))))))) (taylor 0 im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* -1/6 (pow im 2)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)))) (taylor 0 im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) (sin.f64 im)) (patch (.f64 (exp.f64 re) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (sin im))
1.0ms	im	@	0	((* (exp re) (sin im)) (exp re) (sin im))
1.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (sin im))
0.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (sin im))
0.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (sin im))

simplify297.0ms (1.9%)

Memory

38.2MiB live, 192.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	297
1	221	286
2	584	274
3	1576	268
4	2434	268
5	3117	268
6	3582	268
7	3732	268
8	4021	268
9	5959	268
0	8246	246

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(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))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)

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

rewrite21.0ms (0.1%)

Memory

-10.8MiB live, 28.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	9	9
0	9	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

3 → 4

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval5.0ms (0%)

Memory: 9.2MiB live, 9.2MiB allocated
Compiler: Compiled 381 to 63 computations (83.5% saved)

prune63.0ms (0.4%)

Memory

-11.5MiB live, 35.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	7	52

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	49.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	49.4%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
	64.5%	#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))
▶	70.9%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	48.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 138 to 110 computations (20.3% saved)

simplify3.9s (25.5%)

Memory

-23.2MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff	0	(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-diff	0	#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-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff	0	(sin.f64 im)
cost-diff	0	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
cost-diff	0	(sin.f64 im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff	0	(exp.f64 re)
cost-diff	0	(*.f64 (exp.f64 re) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	43	149
1	61	149
2	81	149
3	148	149
4	256	149
5	310	149
6	327	149
0	327	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize3.9s (25.7%)

Memory

-7.0MiB live, 114.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(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))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.095182115168573	#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)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 im)
accuracy	0.01953125	(*.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))
accuracy	23.273815930724165	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.00390625	(sin.f64 im)
accuracy	0.01953125	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	32.30097026303952	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.00390625	(sin.f64 im)
accuracy	33.12617697180209	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0	(exp.f64 re)
accuracy	0.01171875	(*.f64 (exp.f64 re) im)
accuracy	18.584996368717395	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Samples

3.8s

256×

valid

Compiler

Compiled 233 to 44 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-mult: 3.8s (99.5% of total)

ival-add: 6.0ms (0.2% of total)

ival-sin: 5.0ms (0.1% of total)

const: 4.0ms (0.1% of total)

ival-exp: 2.0ms (0.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

28.8MiB live, 28.8MiB allocated

Counts

17 → 276

Calls

Call 1

Inputs
#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())
#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (exp.f64 re) (patch (exp.f64 re) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (patch #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (+.f64 #s(literal 1 binary64) re) (patch (+.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
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#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 (exp.f64 re) im) (patch (.f64 (exp.f64 re) im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (sin.f64 im)) (patch #s(approx (* (exp re) (sin im)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	re	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (+ (* 1/6 re) 1/2))

simplify379.0ms (2.5%)

Memory

-15.5MiB live, 215.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1727
1	406	1664
2	1121	1618
3	3934	1588
4	7404	1588
0	8116	1437

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 272

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)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
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)))))))
(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 re)
(+ 1 re)
(+ 1 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))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 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))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 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 (exp re))
(* im (exp re))
(* im (exp re))
(* 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))))
(* 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 (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 (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))))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))

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

rewrite236.0ms (1.5%)

Memory

20.4MiB live, 170.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8356	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

Outputs
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eval158.0ms (1%)

Memory: 5.4MiB live, 126.9MiB allocated
Compiler: Compiled 14 141 to 2 212 computations (84.4% saved)

prune183.0ms (1.2%)

Memory

-17.0MiB live, 58.8MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	719	15	734
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	721	20	741

Accuracy

100.0%

Counts

741 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.9%	(*.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)))
✓	63.6%	(*.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))
	43.1%	(*.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)))
▶	65.3%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
✓	49.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	35.0%	(.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)))
	33.2%	(*.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)))
▶	18.2%	(.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))
	64.5%	#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))
✓	70.9%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	42.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
▶	40.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
▶	27.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	36.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	41.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
	30.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	33.6%	#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)))
	31.5%	#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 442 to 359 computations (18.8% saved)

simplify15.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff	0	(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-diff	0	#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-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(.f64 (.f64 re re) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
cost-diff	0	(.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-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff	0	#s(approx (exp re) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	306
0	68	306
1	99	306
2	127	306
3	178	306
4	298	306
5	354	306
6	372	306
7	406	306
8	406	306
0	406	306

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize331.0ms (2.2%)

Memory

-16.0MiB live, 152.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.095182115168573	#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)))
accuracy	27.740936471453278	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0.00390625	(sin.f64 im)
accuracy	0.01953125	(.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))
accuracy	23.273815930724165	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	30.34432933295083	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.01171875	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	18.584996368717395	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy	23.273815930724165	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.01171875	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	18.584996368717395	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	33.266310832725274	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
accuracy	0.1875	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	21.095182115168573	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
accuracy	30.371074626094153	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

266.0ms

256×

valid

Compiler

Compiled 388 to 63 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

const: 214.0ms (86.5% of total)

ival-mult: 15.0ms (6.1% of total)

ival-add: 6.0ms (2.4% of total)

ival-sin: 6.0ms (2.4% of total)

ival-pow: 3.0ms (1.2% of total)

ival-exp: 2.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory

29.9MiB live, 29.9MiB allocated

Counts

24 → 372

Calls

Call 1

Inputs
#s(alt (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (patch #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))) (patch #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 re re) #s(literal 1/2 binary64)) (patch (.f64 (.f64 re re) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 re re) #s(literal 1/6 binary64)) (patch (.f64 (.f64 re re) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) (patch #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) #s(literal 1 binary64)) (patch #s(approx (exp re) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (sin im) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
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#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) (patch (.f64 #s(approx (exp re) #s(literal 1 binary64)) im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	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)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) 1) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (sin im) (+ (* 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)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) 1) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (sin im) (+ (* 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)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) 1) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (sin im) (+ (* 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)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) 1) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (sin im) (+ (* 1/6 re) 1/2))
0.0ms	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)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (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) 1) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (sin im) (+ (* 1/6 re) 1/2))

simplify242.0ms (1.6%)

Memory

-25.2MiB live, 210.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	2319
1	400	2248
2	1112	2186
3	3904	2156
4	7283	2156
0	8049	1942

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 368

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 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 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)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
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)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 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))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(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 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
1
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
(+ 1 (* 1/2 re))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* 1/2 (pow re 2))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 1/6 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/6 (pow re 2))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 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 (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 (exp re))
(* im (exp re))
(* im (exp re))
(* 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 (exp re))
(* im (exp re))
(* im (exp re))
(* 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 (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))))
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))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)
(sin im)

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 re (sin.f64 im) (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
#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
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* 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))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 re (sin.f64 im) (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)))
im
(+ im (* im re))
(fma.f64 re im 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
#s(literal 1 binary64)
(+ 1 re)
(+.f64 #s(literal 1 binary64) re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 re (sin.f64 im) (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)))
im
(+ im (* im re))
(fma.f64 re im 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
#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
#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 (* 1/2 re))))
(fma.f64 (fma.f64 #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 re (sin.f64 im) (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
#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 (* 1/2 re))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(* 1/2 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/2 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 re (sin.f64 im) (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
#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
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(* 1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(* 1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(* 1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #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 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(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))
(* (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))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 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))
(* (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))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(* 1/2 (pow re 2))
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(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)
(sin im)
(sin.f64 im)

rewrite165.0ms (1.1%)

Memory

26.6MiB live, 252.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	269
0	68	269
1	184	269
2	1040	269
0	8712	269

Stop Event

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

Counts

24 → 355

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
#s(approx (exp re) #s(literal 1 binary64))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (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))
(.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) (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)))
#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))
(.f64 (.f64 re re) #s(literal 1/6 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(sin.f64 im)
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))

Outputs
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eval122.0ms (0.8%)

Memory: -16.9MiB live, 200.5MiB allocated
Compiler: Compiled 14 590 to 2 007 computations (86.2% saved)

prune33.0ms (0.2%)

Memory

11.6MiB live, 89.4MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	728	7	735
Fresh	2	9	11
Picked	2	3	5
Done	0	4	4
Total	732	23	755

Accuracy

100.0%

Counts

755 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.1%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	63.6%	(*.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))
✓	65.3%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
✓	49.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	35.0%	(.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)))
	33.2%	(*.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)))
▶	20.3%	(.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	18.2%	(.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))
	18.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	64.5%	#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))
✓	70.9%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	42.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	40.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
	15.9%	#s(approx (* (exp re) (sin 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))) im))
	16.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
✓	27.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	36.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	40.2%	#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)))
▶	30.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	33.6%	#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)))
▶	31.5%	#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 488 to 399 computations (18.2% saved)

simplify167.0ms (1.1%)

Memory

-10.0MiB live, 180.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
cost-diff	0	#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))
cost-diff	0	#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)))
cost-diff	0	(.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(pow.f64 im #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
cost-diff	0	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
cost-diff	0	#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)))
cost-diff	0	(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
cost-diff	0	(fma.f64 re im im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 re im im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
cost-diff	0	(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-diff	0	(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-diff	0	(.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-diff	0	#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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	353
0	69	353
1	112	353
2	185	353
3	455	351
4	1296	351
5	3032	351
6	4248	351
7	4492	351
8	4518	351
9	4518	351
10	6306	351
11	6306	351
12	6306	351
0	8058	343

Stop Event

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

Calls

Call 1

Inputs
#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
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
(*.f64 re im)
re
im
#s(literal 1/2 binary64)
#s(approx (* (exp re) (sin im)) #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 (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)
(.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#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)))
#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))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) 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)
#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)

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

localize131.0ms (0.9%)

Memory

-2.2MiB live, 249.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.095182115168573	#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)))
accuracy	27.740936471453278	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	29.90523757757654	#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))
accuracy	0	(pow.f64 im #s(literal 3 binary64))
accuracy	0.05078125	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	27.740936471453278	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	33.12617697180209	#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)))
accuracy	0.015625	(fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im)
accuracy	0.08984375	(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
accuracy	18.584996368717395	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
accuracy	24.639888260363666	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
accuracy	0	(fma.f64 re im im)
accuracy	18.584996368717395	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy	28.87106013344545	#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy	0.0546875	(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))
accuracy	0.4974946418150651	(fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))
accuracy	5.906216975299536	(.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))
accuracy	16.704372535606854	#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))

Samples

103.0ms

256×

valid

Compiler

Compiled 500 to 75 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 27.0ms (33.5% of total)

ival-add: 25.0ms (31% of total)

const: 12.0ms (14.9% of total)

ival-sin: 11.0ms (13.7% of total)

ival-pow: 3.0ms (3.7% of total)

ival-exp: 2.0ms (2.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series35.0ms (0.2%)

Memory

-14.0MiB live, 62.2MiB allocated

Counts

21 → 384

Calls

Call 1

Inputs
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())
#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx ( (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (patch (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) #<representation binary64>) () ())
#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) (patch (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
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#s(alt (pow im 3) (taylor -inf im) (#s(alt (pow.f64 im #s(literal 3 binary64)) (patch (pow.f64 im #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* -1/5040 (pow im 2)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040)) (taylor -inf im) (#s(alt (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	((* (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) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* 1/6 re) 1/2))
5.0ms	im	@	-inf	((* (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) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* 1/6 re) 1/2))
3.0ms	re	@	inf	((* (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) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* 1/6 re) 1/2))
3.0ms	re	@	-inf	((* (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) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* 1/6 re) 1/2))
2.0ms	im	@	0	((* (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) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (* (+ (* 1/6 re) 1/2) re) re) (+ (* -1/5040 (* im im)) 1/120) (+ (* 1/6 re) 1/2))

simplify295.0ms (1.9%)

Memory

19.2MiB live, 252.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	3198
1	706	3095
2	2033	2977
3	4873	2941
0	8466	2673

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 377

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 (* (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))))
(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)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
im
(+ im (* im re))
(+ im (* im re))
(+ im (* im 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)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* 1/2 (* im re)))))
im
(+ im (* 1/2 (* im re)))
(+ im (* 1/2 (* im re)))
(+ im (* 1/2 (* im 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)))))))
(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 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/2 im) (+ (/ im re) (/ im (pow re 2)))))
(* 1/2 (* im re))
(* re (+ (* 1/2 im) (/ im re)))
(* re (+ (* 1/2 im) (/ im re)))
(* re (+ (* 1/2 im) (/ im re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im re)
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 1/2 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/2 im) (/ im re)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)))
(* 1/2 (* im re))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* -1 (* re (+ (* -1 (/ im re)) (* -1/2 im))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 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))))))))
(exp re)
(+ (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 (* -1/6 (pow im 2)))
(+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6)))
(+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (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)
(- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6)
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 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 (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 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))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(* 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))))))))
1/120
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(+ 1/120 (* -1/5040 (pow im 2)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -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)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* re (+ 1 (* 1/2 re)))))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* im (+ 1 (* 1/2 re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -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)))))
(* (pow im 4) (- (* 1/120 (/ 1 (pow im 2))) (+ 1/5040 (/ 1/6 (pow im 4)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* im (- (* -1 re) 1)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* re (- (* -1/2 re) 1)) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* -1 (* im (- (* -1/2 re) 1)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(sin im)
(sin im)
(sin im)
(sin im)
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(pow im 3)
(pow im 3)
(pow im 3)
(pow im 3)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -1/5040 (pow im 2))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))
(* (pow im 2) (- (* 1/120 (/ 1 (pow im 2))) 1/5040))

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

rewrite262.0ms (1.7%)

Memory

-10.8MiB live, 317.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	280
0	69	280
1	235	280
2	1546	280
0	8416	274

Stop Event

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

Counts

21 → 389

Calls

Call 1

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

Outputs
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eval257.0ms (1.7%)

Memory: 35.0MiB live, 227.0MiB allocated
Compiler: Compiled 19 700 to 2 455 computations (87.5% saved)

prune44.0ms (0.3%)

Memory

5.5MiB live, 123.3MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	845	12	857
Fresh	5	6	11
Picked	3	2	5
Done	2	5	7
Total	855	25	880

Accuracy

100.0%

Counts

880 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	49.3%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	20.3%	(.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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
	69.2%	#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))
✓	70.9%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	33.6%	#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 #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))
	44.6%	#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
	43.6%	#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 #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))) 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))
	35.0%	#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 #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))
	42.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	40.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
	30.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
	15.9%	#s(approx (* (exp re) (sin 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))) im))
	16.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
✓	27.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	48.2%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
✓	36.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	40.2%	#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)))
	35.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
✓	30.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	30.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
	36.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
	6.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
	31.5%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
	31.5%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))

Compiler

Compiled 923 to 398 computations (56.9% saved)

regimes99.0ms (0.6%)

Memory

-2.8MiB live, 118.2MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (exp re) (sin im)) #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 (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im 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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) 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 #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 (* (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 #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 (* (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 #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))) 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))
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (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 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (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(approx (+ ( 1/6 re) 1/2) #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) #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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (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 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))

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

Calls

5 calls:

32.0ms	re
29.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
12.0ms	im
12.0ms	(sin.f64 im)
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
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)

regimes120.0ms (0.8%)

Memory

-43.9MiB live, 127.5MiB allocated

Counts

40 → 4

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (exp re) (sin im)) #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 (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im 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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) 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 #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 (* (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 #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 (* (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 #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))) 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))
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (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 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (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(approx (+ ( 1/6 re) 1/2) #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) #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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) 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 (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))

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) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))

Calls

5 calls:

42.0ms	im
41.0ms	re
14.0ms	(sin.f64 im)
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
99.2%	4	`re`
89.7%	4	`im`
100.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
95.3%	3	`(exp.f64 re)`
87.8%	4	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes19.0ms (0.1%)

Memory

33.9MiB live, 33.8MiB allocated

Counts

30 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (exp re) (sin im)) #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 (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im 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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) 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 #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 (* (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 #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 (* (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 #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))) 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))
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (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:

9.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
100.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
98.0%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes13.0ms (0.1%)

Memory

-18.8MiB live, 19.8MiB allocated

Counts

29 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (exp re) (sin im)) #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 (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im 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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) 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 #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 (* (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 #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 (* (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 #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))) 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))
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))

Outputs
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
(*.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:

8.0ms

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

Results

Accuracy	Segments	Branch
99.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes21.0ms (0.1%)

Memory

0.8MiB live, 38.0MiB allocated

Counts

28 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
#s(approx (* (exp re) (sin im)) #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 (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 im re) im) re) im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (+.f64 re #s(literal 1 binary64)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im 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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) 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 #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 (* (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 #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 (* (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 #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))) 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))
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Outputs
#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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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))
(*.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

2 calls:

12.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
94.6%	4	`re`
99.3%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

25 → 5

Calls

Call 1

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
98.6%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes40.0ms (0.3%)

Memory

-12.3MiB live, 70.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

9.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
8.0ms	(sin.f64 im)
7.0ms	im
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
59.2%	3	`(sin.f64 im)`
58.4%	2	`im`
65.7%	2	`re`
65.7%	2	`(exp.f64 re)`
69.6%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes64.0ms (0.4%)

Memory

-3.0MiB live, 75.2MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	im
17.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(sin.f64 im)
7.0ms	re
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
49.7%	2	`(sin.f64 im)`
44.6%	1	`im`
44.6%	1	`(exp.f64 re)`
44.6%	1	`re`
49.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes16.0ms (0.1%)

Memory

-5.3MiB live, 32.0MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

(*.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))) #s(approx (sin im) (fma.f64 (*.f64 (*.f64 im im) im) #s(literal -1/6 binary64) im)))

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

Calls

2 calls:

9.0ms	(sin.f64 im)
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
49.6%	2	`(sin.f64 im)`
49.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes12.0ms (0.1%)

Memory

25.6MiB live, 25.6MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

6.0ms	(sin.f64 im)
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
46.5%	2	`(sin.f64 im)`
46.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes31.0ms (0.2%)

Memory

-11.9MiB live, 67.9MiB allocated

Counts

15 → 2

Calls

Call 1

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

Calls

5 calls:

8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)
5.0ms	im
5.0ms	(sin.f64 im)
5.0ms	re

Results

Accuracy	Segments	Branch
41.3%	1	`re`
41.3%	1	`(exp.f64 re)`
43.2%	2	`im`
45.8%	2	`(sin.f64 im)`
46.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes28.0ms (0.2%)

Memory

-15.5MiB live, 23.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

22.0ms	(sin.f64 im)
4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
45.0%	2	`(sin.f64 im)`
45.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

4.0ms	(sin.f64 im)
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
40.7%	2	`(sin.f64 im)`
44.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes18.0ms (0.1%)

Memory

-5.3MiB live, 33.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

8.0ms	im
3.0ms	(sin.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
30.6%	1	`(sin.f64 im)`
40.4%	2	`re`
40.4%	2	`(exp.f64 re)`
30.6%	1	`im`
40.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.1%)

Memory

-16.4MiB live, 26.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	re
2.0ms	(sin.f64 im)
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
30.6%	1	`(sin.f64 im)`
30.6%	1	`re`
30.6%	1	`(exp.f64 re)`
30.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes9.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
30.6%	2	`re`
30.6%	2	`(exp.f64 re)`
30.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
30.5%	2	`im`
30.2%	2	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.1%)

Memory

-13.3MiB live, 25.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re
1.0ms	(sin.f64 im)
1.0ms	im
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
6.3%	1	`(sin.f64 im)`
6.3%	1	`im`
6.3%	1	`re`
6.3%	1	`(exp.f64 re)`
6.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch94.0ms (0.6%)

Memory

-43.2MiB live, 99.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.348896826910681e+100	3.6472357560724555e+111
34.0ms	1.995827683917398e-7	2.5727186616323526e-6
15.0ms	-484.28980804547416	-6.0612401921924414e-6

Samples

48.0ms

400×

valid

Compiler

Compiled 556 to 526 computations (5.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-sin: 32.0ms (82.1% of total)

ival-exp: 4.0ms (10.3% of total)

ival-mult: 3.0ms (7.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9963632320385503	+inf
0.0ms	3.9638685184638843e-227	9.79454494797714e-221
0.0ms	-0.04698594938549668	-0.0
0.0ms	-inf	-0.9977922795064409

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9963632320385503	+inf
0.0ms	3.9638685184638843e-227	9.79454494797714e-221
0.0ms	-0.04698594938549668	-0.0
0.0ms	-inf	-0.9977922795064409

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9963632320385503	+inf
0.0ms	2.3498605265867645e-138	4.029499706457129e-125
0.0ms	-0.04698594938549668	-0.0
0.0ms	-inf	-0.9977922795064409

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9963632320385503	+inf
0.0ms	2.3498605265867645e-138	4.029499706457129e-125
0.0ms	-0.04698594938549668	-0.0
0.0ms	-inf	-0.9977922795064409

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9963632320385503	+inf
0.0ms	-inf	-0.9977922795064409

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.4691197327e-314	6.960948975280645e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04698594938549668	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.4691197327e-314	6.960948975280645e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.4691197327e-314	6.960948975280645e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.4691197327e-314	6.960948975280645e-307

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.399707811492753e-14	0.01200401887934135

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9756578341680878	0.989863636910988

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9935742652628052	0.9963632320385503

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify62.0ms (0.4%)

Memory

16.6MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1212
1	189	1212
2	192	1212
3	193	1212
4	194	1212

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 re #s(literal -208967022709991/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5902958103587057/2361183241434822606848 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) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #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 -5764607523034235/144115188075855872 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 5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 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 5334411546303883/106688230926077668385277628651540124754316133157054530566340124988224595805082113144342915213944868651886878569494931847134220826465909841285813696837293280737522521272224232935409252574589024395663440258174185631707051968599623380658622038016 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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 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 6703903964971299/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6703903964971299/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 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 #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 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) 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)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #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 (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/144115188075855872 binary64)) (.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))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx ( (exp re) (sin im)) #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 (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx ( (exp re) (sin im)) #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 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx ( (exp re) (sin im)) #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 (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) #s(approx ( (exp re) (sin im)) #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 (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))

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 2206763817411543/2251799813685248 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 2206763817411543/2251799813685248 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness2.1s (13.9%)

Memory

0.3MiB live, 1 300.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	3198
1	706	3095
2	2033	2977
3	4873	2941
0	8466	2673
0	123	2319
1	400	2248
2	1112	2186
3	3904	2156
4	7283	2156
0	8049	1942
0	45	280
0	69	280
1	235	280
2	1546	280
0	8416	274
0	71	297
1	221	286
2	584	274
3	1576	268
4	2434	268
5	3117	268
6	3582	268
7	3732	268
8	4021	268
9	5959	268
0	8246	246
0	125	1727
1	406	1664
2	1121	1618
3	3934	1588
4	7404	1588
0	8116	1437

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 030 to 408 computations (60.4% saved)

preprocess101.0ms (0.7%)

Memory: 19.1MiB live, 173.0MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 608 to 310 computations (80.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	45	306
0	68	306
1	99	306
2	127	306
3	178	306
4	298	306
5	354	306
6	372	306
7	406	306
8	406	306
0	406	306

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	45	306
0	68	306
1	99	306
2	127	306
3	178	306
4	298	306
5	354	306
6	372	306
7	406	306
8	406	306
0	406	306

start0.0ms (0%)

analyze0.0ms (0%)

sample913.0ms (6%)

explain67.0ms (0.4%)

preprocess30.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0%)

localize54.0ms (0.4%)

series4.0ms (0%)

simplify297.0ms (1.9%)

rewrite21.0ms (0.1%)

eval5.0ms (0%)

prune63.0ms (0.4%)

simplify3.9s (25.5%)

localize3.9s (25.7%)

series15.0ms (0.1%)

simplify379.0ms (2.5%)

rewrite236.0ms (1.5%)

eval158.0ms (1%)

prune183.0ms (1.2%)

simplify15.0ms (0.1%)

localize331.0ms (2.2%)

series20.0ms (0.1%)

simplify242.0ms (1.6%)

rewrite165.0ms (1.1%)

eval122.0ms (0.8%)

prune33.0ms (0.2%)

simplify167.0ms (1.1%)

localize131.0ms (0.9%)

series35.0ms (0.2%)

simplify295.0ms (1.9%)

rewrite262.0ms (1.7%)

eval257.0ms (1.7%)

prune44.0ms (0.3%)

regimes99.0ms (0.6%)

regimes120.0ms (0.8%)

regimes19.0ms (0.1%)

regimes13.0ms (0.1%)

regimes21.0ms (0.1%)

regimes8.0ms (0.1%)

regimes40.0ms (0.3%)

regimes64.0ms (0.4%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

regimes31.0ms (0.2%)

regimes28.0ms (0.2%)

regimes8.0ms (0.1%)

regimes18.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch94.0ms (0.6%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.4%)

soundness2.1s (13.9%)

preprocess101.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	281	27
5	428	27
6	451	27
7	465	27
8	472	27
9	472	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	45	306
0	68	306
1	99	306
2	127	306
3	178	306
4	298	306
5	354	306
6	372	306
7	406	306
8	406	306
0	406	306