Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

sample869.0ms (5.8%)

Memory

-8.6MiB live, 1 111.7MiB allocated

Samples

551.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 347.0ms

ival-sin: 219.0ms (63.2% of total)

ival-exp: 67.0ms (19.3% of total)

ival-mult: 52.0ms (15% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain74.0ms (0.5%)

Memory

-12.4MiB live, 146.3MiB 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

40.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-sin: 16.0ms (60.7% of total)

ival-mult: 6.0ms (22.8% of total)

ival-exp: 4.0ms (15.2% of total)

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

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

preprocess21.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB 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	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune4.0ms (0%)

Memory

-44.7MiB 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)

simplify3.0ms (0%)

Memory

2.9MiB live, 2.9MiB 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

localize22.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 re)
accuracy	0.00390625	(sin.f64 im)
accuracy	0.01171875	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

17.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 6.0ms (59.6% of total)

ival-exp: 2.0ms (19.9% of total)

ival-mult: 2.0ms (19.9% of total)

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

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

series4.0ms (0%)

Memory

4.8MiB live, 4.8MiB 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))

simplify246.0ms (1.6%)

Memory

-13.5MiB live, 211.7MiB 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	5934	268
0	8221	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)

rewrite13.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB 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: 5.7MiB live, 5.7MiB allocated
Compiler: Compiled 381 to 63 computations (83.5% saved)

prune18.0ms (0.1%)

Memory

-29.0MiB live, 9.6MiB 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
▶	70.4%	(*.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))
▶	67.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	57.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	57.4%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
	54.6%	#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))
▶	65.0%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	56.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 138 to 110 computations (20.3% saved)

simplify10.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

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	254	149
5	307	149
6	324	149
0	324	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize4.0s (26.4%)

Memory

6.6MiB live, 62.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 im)
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))) (sin.f64 im))
accuracy	21.048958187054815	#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	0.01171875	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	27.212219614851456	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0	(exp.f64 re)
accuracy	0.0078125	(*.f64 (exp.f64 re) im)
accuracy	22.380646670941438	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy	0.00390625	(sin.f64 im)
accuracy	27.68183179498193	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.0390625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.0390625	(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	18.89442258356816	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))

Samples

4.0s

256×

valid

Compiler

Compiled 233 to 44 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-add: 31.0ms (57.4% of total)

ival-mult: 10.0ms (18.5% of total)

ival-sin: 7.0ms (13% of total)

const: 4.0ms (7.4% of total)

ival-exp: 2.0ms (3.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.8s (25.5%)

Memory

-11.3MiB live, 25.8MiB allocated

Counts

17 → 276

Calls

Call 1

Inputs
#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 #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 #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 (.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 (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 (fma.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 (+ (sin im) (* re (sin im))) (taylor 0 re) (#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 (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#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 (+ (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 (fma.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 1 (taylor 0 re) (#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 (+ 1 re) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#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 1 (taylor 0 re) (#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 (+ 1 re) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#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 (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))) (taylor 0 re) (#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 1 (taylor 0 re) (#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 (+ 1 (* 1/2 re)) (taylor 0 re) (#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>) () ())) ())
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#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 (.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>) () ())) ())
#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 #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 (.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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.8s	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))

simplify179.0ms (1.2%)

Memory

-5.1MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1727
1	406	1664
2	1117	1618
3	3954	1588
4	7383	1588
0	8095	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)))))))
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)))))))
(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)))))))
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))
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))
(* (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)
(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)))
(* 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))
(* (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)
(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)))
(* 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
(* 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))
(* 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))))))))
(* (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)
(* (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))
(* (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)
(* (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))

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)))
(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 (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)))
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))
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))
(* (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)
(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))
(* 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)
(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))
(* (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)
(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)
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))
(* 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) (* -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))
(*.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 (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))
(* (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))
(* 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))
(* (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)
(* (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))

rewrite167.0ms (1.1%)

Memory

36.2MiB live, 261.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8371	128

Stop Event

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

Counts

17 → 426

Calls

Call 1

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

Outputs
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eval132.0ms (0.9%)

Memory: -30.4MiB live, 215.8MiB allocated
Compiler: Compiled 14 141 to 2 216 computations (84.3% saved)

prune22.0ms (0.1%)

Memory

28.0MiB live, 67.2MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	725	9	734
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	728	13	741

Accuracy

100.0%

Counts

741 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	34.9%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	57.4%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
✓	65.0%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	38.1%	#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))
▶	36.1%	#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))
▶	31.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
▶	28.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	56.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	34.3%	#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)))
	35.6%	#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)))
	31.1%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	32.3%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Compiler

Compiled 205 to 176 computations (14.1% saved)

simplify38.0ms (0.3%)

Memory

-23.2MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	210
0	47	210
1	69	210
2	90	210
3	163	210
4	271	210
5	330	210
6	347	210
0	347	210

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize90.0ms (0.6%)

Memory

27.4MiB live, 105.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0390625	(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	18.89442258356816	#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	22.380646670941438	#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))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	21.048958187054815	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	22.380646670941438	#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	0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.0078125	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im)
accuracy	22.380646670941438	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
accuracy	27.212219614851456	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0078125	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	22.380646670941438	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	27.754848814466694	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 im)
accuracy	0.0703125	(fma.f64 re (sin.f64 im) (sin.f64 im))
accuracy	27.254355787457587	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))

Samples

72.0ms

256×

valid

Compiler

Compiled 281 to 50 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 31.0ms (55.9% of total)

ival-mult: 12.0ms (21.7% of total)

ival-sin: 7.0ms (12.6% of total)

const: 3.0ms (5.4% of total)

ival-exp: 2.0ms (3.6% of total)

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

exact: 0.0ms (0% of total)

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

series24.0ms (0.2%)

Memory

0.6MiB live, 37.3MiB allocated

Counts

21 → 372

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	((* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ 1 re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
2.0ms	re	@	0	((* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ 1 re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
1.0ms	re	@	-inf	((* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ 1 re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
1.0ms	re	@	inf	((* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ 1 re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ 1 re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))

simplify167.0ms (1.1%)

Memory

-20.6MiB live, 174.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2261
1	531	2198
2	1488	2151
3	3864	2132
4	6996	2132
0	8193	1949

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 365

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

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

rewrite302.0ms (2%)

Memory

12.2MiB live, 200.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	194
0	47	194
1	148	194
2	981	194
0	8546	194

Stop Event

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

Counts

21 → 424

Calls

Call 1

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

Outputs
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eval113.0ms (0.7%)

Memory: -15.3MiB live, 220.6MiB allocated
Compiler: Compiled 13 767 to 2 484 computations (82% saved)

prune131.0ms (0.9%)

Memory

-5.0MiB live, 71.8MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	790	11	801
Fresh	3	2	5
Picked	3	2	5
Done	0	3	3
Total	796	18	814

Accuracy

100.0%

Counts

814 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
▶	66.7%	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))
✓	65.0%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	38.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	38.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	37.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
✓	31.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
	13.4%	#s(approx (* (exp re) (sin 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))) im))
	11.4%	#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))
	11.4%	#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))
✓	28.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	56.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	35.0%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
	34.9%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im im)))
	33.1%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
▶	31.1%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
▶	34.3%	#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)))
▶	35.6%	#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)))

Compiler

Compiled 431 to 323 computations (25.1% saved)

simplify116.0ms (0.8%)

Memory

-2.5MiB live, 113.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff	0	(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
cost-diff	0	(fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)
cost-diff	0	#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))
cost-diff	0	#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)))
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 (+ (* re (sin im)) (sin im)) (fma.f64 re im im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
cost-diff	0	(-.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))
cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	44	368
0	74	366
1	131	366
2	234	362
3	466	362
4	1135	362
5	1999	362
6	4298	346
7	7139	346
0	8122	346

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))
(-.f64 #s(literal 1 binary64) re)
re
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
(*.f64 re re)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
#s(approx (+ (* re (sin im)) (sin 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 (* (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) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) 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)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
im
(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 (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
im

Outputs
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))
#s(approx (* (exp re) (sin im)) (*.f64 (-.f64 re #s(literal -1 binary64)) (sin.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))
(*.f64 (-.f64 re #s(literal -1 binary64)) (sin.f64 im))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) re)) (sin.f64 im))
(-.f64 #s(literal 1 binary64) re)
re
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))
(.f64 (sin.f64 im) (-.f64 #s(literal 1 binary64) (.f64 re re)))
(-.f64 #s(literal 1 binary64) (*.f64 re re))
(*.f64 re re)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 im re im)))
#s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im))
#s(approx (+ (* re (sin im)) (sin 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 (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im)))
#s(approx (* (exp re) 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) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) 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)
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im)
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im)
im
(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 (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64))
(fma.f64 (/.f64 re (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
#s(literal 1/36 binary64)
(*.f64 re re)
re
#s(literal -1/4 binary64)
(fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
im

localize169.0ms (1.1%)

Memory

5.2MiB live, 178.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2812354553086955	(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))
accuracy	11.429068076462144	(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
accuracy	18.89442258356816	#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	22.380646670941438	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy	0.07421875	(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy	0.15234375	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	19.097923662891183	#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))
accuracy	22.380646670941438	#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)))
accuracy	0	(*.f64 re im)
accuracy	0.046875	(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
accuracy	20.128706486827674	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
accuracy	22.380646670941438	#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	0	(fma.f64 re im im)
accuracy	27.254355787457587	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
accuracy	34.588123948742144	#s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im))
accuracy	0.26171875	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))
accuracy	1.9518885078013488	(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))
accuracy	9.903312098852815	(/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))
accuracy	27.254355787457587	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))

Samples

139.0ms

256×

valid

Compiler

Compiled 551 to 81 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 76.0ms (67.8% of total)

ival-add: 11.0ms (9.8% of total)

ival-sin: 8.0ms (7.1% of total)

const: 6.0ms (5.4% of total)

ival-div: 5.0ms (4.5% of total)

ival-sub: 3.0ms (2.7% of total)

ival-exp: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series61.0ms (0.4%)

Memory

1.5MiB live, 38.4MiB allocated

Counts

25 → 528

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))) (patch (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))) (patch #s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) re) (patch (-.f64 #s(literal 1 binary64) re) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)) (patch #s(approx (+ (* re (sin im)) (sin 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 (* (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))) (patch #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))) #<representation binary64>) () ())
#s(alt #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)) (patch #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)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) (patch (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) (patch (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())
#s(alt (.f64 re im) (patch (.f64 re 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>) () ())
#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (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)) #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #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)) (patch #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)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) (patch (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) (patch (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) (patch (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) (patch (fma.f64 (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) (patch (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) (patch (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) (patch (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) (patch (fma.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (- 1 (pow re 2))) (taylor -inf im) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (- 1 (pow re 2))) (taylor -inf im) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (- 1 (pow re 2))) (taylor -inf im) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* (sin im) (- 1 (pow re 2))) (taylor -inf im) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) (patch (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1/2 (* 1/6 re))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1/2 (* 1/6 re))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1/2 (* 1/6 re))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1/2 (* 1/6 re))) (taylor -inf im) (#s(alt (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (patch (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	im	@	inf	((/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (* (exp re) (sin im)) (- 1 re) (* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (* (- 1 (* re re)) (sin im)) (* re im) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/36 (* re re)) -1/4))
6.0ms	re	@	-inf	((/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (* (exp re) (sin im)) (- 1 re) (* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (* (- 1 (* re re)) (sin im)) (* re im) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/36 (* re re)) -1/4))
5.0ms	im	@	-inf	((/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (* (exp re) (sin im)) (- 1 re) (* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (* (- 1 (* re re)) (sin im)) (* re im) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/36 (* re re)) -1/4))
4.0ms	im	@	0	((/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (* (exp re) (sin im)) (- 1 re) (* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (* (- 1 (* re re)) (sin im)) (* re im) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/36 (* re re)) -1/4))
4.0ms	re	@	inf	((/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (* (exp re) (sin im)) (- 1 re) (* (exp re) (sin im)) (+ (* re (sin im)) (sin im)) (+ (* re im) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) re) 1) re) 1) (* (- 1 (* re re)) (sin im)) (* re im) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (/ (+ (* 1/36 (* re re)) -1/4) (+ (* 1/6 re) -1/2)) (+ (* 1/36 (* re re)) -1/4))

simplify255.0ms (1.7%)

Memory

13.1MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	4411
1	1200	4178
2	3997	4036
0	8217	3709

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 520

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(/ 1 (sin im))
(+ (* -1 (/ re (sin im))) (/ 1 (sin im)))
(+ (* re (- (/ re (sin im)) (/ 1 (sin im)))) (/ 1 (sin im)))
(+ (* re (- (* re (+ (* -1 (/ re (sin im))) (/ 1 (sin im)))) (/ 1 (sin im)))) (/ 1 (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 (* -1 re))
(+ 1 (* -1 re))
(+ 1 (* -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)))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin 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)))))))
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 (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
im
(+ im (* 1/2 (* im re)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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)))))))
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 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* -1 (* (pow re 2) (sin im))))
(+ (sin im) (* -1 (* (pow re 2) (sin im))))
(+ (sin im) (* -1 (* (pow re 2) (sin im))))
(* im re)
(* im re)
(* im re)
(* im re)
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(* 1/2 im)
(+ (* 1/6 (* im re)) (* 1/2 im))
(+ (* 1/6 (* im re)) (* 1/2 im))
(+ (* 1/6 (* im re)) (* 1/2 im))
1/2
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
(+ 1/2 (* 1/6 re))
-1/4
(- (* 1/36 (pow re 2)) 1/4)
(- (* 1/36 (pow re 2)) 1/4)
(- (* 1/36 (pow re 2)) 1/4)
(* re (sin im))
(* re (+ (sin im) (/ (sin im) re)))
(* re (+ (sin im) (/ (sin im) re)))
(* re (+ (sin im) (/ (sin im) re)))
(/ 1 (* re (sin im)))
(/ (- (/ 1 (sin im)) (/ 1 (* re (sin im)))) re)
(/ (- (+ (/ 1 (sin im)) (/ 1 (* (pow re 2) (sin im)))) (/ 1 (* re (sin im)))) re)
(/ (- (+ (/ 1 (sin im)) (/ 1 (* (pow re 2) (sin im)))) (+ (/ 1 (* re (sin im))) (/ 1 (* (pow re 3) (sin im))))) re)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -1 re)
(* re (- (/ 1 re) 1))
(* re (- (/ 1 re) 1))
(* re (- (/ 1 re) 1))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* re (sin im))
(* re (+ (sin im) (/ (sin im) re)))
(* re (+ (sin im) (/ (sin im) re)))
(* re (+ (sin im) (/ (sin im) 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))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 1/6 (* im (pow re 3)))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (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)
(* 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 (* (pow re 2) (sin im)))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* im re)
(* im re)
(* im re)
(* im 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))))
(* 1/6 (* im re))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(* re (+ (* 1/6 im) (* 1/2 (/ im 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))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* re (sin im))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))
(/ 1 (* re (sin im)))
(* -1 (/ (- (/ 1 (* re (sin im))) (/ 1 (sin im))) re))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* re (sin im))) (/ 1 (sin im))) re)) (/ 1 (sin im))) re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* re (sin im))) (/ 1 (sin im))) re)) (/ 1 (sin im))) re)) (/ 1 (sin im))) re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* -1 re)
(* -1 (* re (- 1 (/ 1 re))))
(* -1 (* re (- 1 (/ 1 re))))
(* -1 (* re (- 1 (/ 1 re))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* re (sin im))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) re)))))
(* -1 (* re (+ (* -1 (sin im)) (* -1 (/ (sin im) 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))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 1/6 (* im (pow re 3)))
(* -1 (* (pow re 3) (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* 1/2 im) (/ im re)) re)) (* -1/6 im))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 im) (* -1 (/ im re))) re)) (* 1/2 im)) re)) (* -1/6 im))))
(* 1/6 (* im (pow re 2)))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 im)))
(* (pow re 2) (+ (* -1 (/ (+ (* -1 (/ im re)) (* -1/2 im)) re)) (* 1/6 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)
(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 (* (pow re 2) (sin im)))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* (pow re 2) (+ (* -1 (sin im)) (/ (sin im) (pow re 2))))
(* im re)
(* im re)
(* im re)
(* im 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))))
(* 1/6 (* im re))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* -1 (* re (+ (* -1/2 (/ im re)) (* -1/6 im))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/36 (pow re 2))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(* (pow re 2) (- 1/36 (* 1/4 (/ 1 (pow re 2)))))
(/ (* im (- 1 (pow re 2))) (- 1 re))
(* im (- (+ (* -1/6 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re))))
(* im (- (+ (* (pow im 2) (+ (* -1/6 (/ (- 1 (pow re 2)) (- 1 re))) (* 1/120 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re))))
(* im (- (+ (* (pow im 2) (+ (* -1/6 (/ (- 1 (pow re 2)) (- 1 re))) (* (pow im 2) (+ (* -1/5040 (/ (* (pow im 2) (- 1 (pow re 2))) (- 1 re))) (* 1/120 (/ (- 1 (pow re 2)) (- 1 re))))))) (/ 1 (- 1 re))) (/ (pow re 2) (- 1 re))))
(/ (- 1 re) (* im (- 1 (pow re 2))))
(/ (- (+ (* 1/6 (/ (* (pow im 2) (- 1 re)) (- 1 (pow re 2)))) (/ 1 (- 1 (pow re 2)))) (/ re (- 1 (pow re 2)))) im)
(/ (- (+ (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/36 (/ (- 1 re) (- 1 (pow re 2)))) (* 1/120 (/ (- 1 re) (- 1 (pow re 2))))))) (* -1/6 (/ (- 1 re) (- 1 (pow re 2)))))) (/ 1 (- 1 (pow re 2)))) (/ re (- 1 (pow re 2)))) im)
(/ (- (+ (* (pow im 2) (- (* (pow im 2) (- (* -1 (* (pow im 2) (+ (* -1/5040 (/ (- 1 re) (- 1 (pow re 2)))) (+ (* 1/720 (/ (- 1 re) (- 1 (pow re 2)))) (* 1/6 (+ (* -1/36 (/ (- 1 re) (- 1 (pow re 2)))) (* 1/120 (/ (- 1 re) (- 1 (pow re 2)))))))))) (+ (* -1/36 (/ (- 1 re) (- 1 (pow re 2)))) (* 1/120 (/ (- 1 re) (- 1 (pow re 2))))))) (* -1/6 (/ (- 1 re) (- 1 (pow re 2)))))) (/ 1 (- 1 (pow re 2)))) (/ re (- 1 (pow re 2)))) im)
(* 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 (+ 1 re))
(* im (+ 1 (+ re (* (pow im 2) (- (* -1/6 re) 1/6)))))
(* im (+ 1 (+ re (* (pow im 2) (- (+ (* -1/6 re) (* (pow im 2) (+ 1/120 (* 1/120 re)))) 1/6)))))
(* im (+ 1 (+ re (* (pow im 2) (- (+ (* -1/6 re) (* (pow im 2) (+ 1/120 (+ (* 1/120 re) (* (pow im 2) (- (* -1/5040 re) 1/5040)))))) 1/6)))))
(* 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 (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 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 (pow re 2)))
(* im (- (+ 1 (* -1/6 (* (pow im 2) (- 1 (pow re 2))))) (pow re 2)))
(* im (- (+ 1 (* (pow im 2) (+ (* -1/6 (- 1 (pow re 2))) (* 1/120 (* (pow im 2) (- 1 (pow re 2))))))) (pow re 2)))
(* im (- (+ 1 (* (pow im 2) (+ (* -1/6 (- 1 (pow re 2))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- 1 (pow re 2)))) (* 1/120 (- 1 (pow re 2)))))))) (pow re 2)))
(* im re)
(* im re)
(* im re)
(* im re)
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(* (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) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(* 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))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* im (+ 1 (* 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))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* im re)
(* im re)
(* im re)
(* im re)
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (* (sin im) (- 1 (pow re 2))) (- 1 re))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(/ (- 1 re) (* (sin im) (- 1 (pow re 2))))
(* (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) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (sin im)))
(* -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))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 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))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* (sin im) (- 1 (pow re 2)))
(* im re)
(* im re)
(* im re)
(* im re)
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))

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

rewrite407.0ms (2.7%)

Memory

-25.7MiB live, 186.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	318
0	74	309
1	297	261
2	2242	261
0	8543	261

Stop Event

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

Counts

25 → 646

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))))
(/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im)))))
(-.f64 #s(literal 1 binary64) re)
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
#s(approx (+ (* re (sin im)) (sin 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 (* (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) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) 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)
(fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im)
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
#s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 im))
(*.f64 re im)
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))

Outputs
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eval331.0ms (2.2%)

Memory: 37.1MiB live, 191.9MiB allocated
Compiler: Compiled 23 577 to 3 876 computations (83.6% saved)

prune223.0ms (1.5%)

Memory

-6.1MiB live, 103.8MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1 151	15	1 166
Fresh	3	5	8
Picked	3	2	5
Done	0	5	5
Total	1 157	27	1 184

Accuracy

100.0%

Counts

1 184 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	35.9%	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
	61.2%	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (sin.f64 im)))))
	40.6%	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
	40.5%	#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
✓	65.0%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	38.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	37.8%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	32.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	38.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	37.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
✓	31.1%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) im))
✓	28.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	56.7%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	33.5%	#s(approx (* (exp re) (sin im)) #s(approx (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
	35.0%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
	34.9%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im im)))
	33.1%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
✓	31.1%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 re im im)))
	6.6%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 re im))))
	35.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
	36.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re im) re im)))
✓	34.3%	#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)))
	35.3%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
	9.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
	11.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
	10.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))

Compiler

Compiled 972 to 515 computations (47% saved)

regimes140.0ms (0.9%)

Memory

-10.9MiB live, 76.5MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (sin.f64 im)))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 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:

73.0ms	im
28.0ms	(exp.f64 re)
13.0ms	(sin.f64 im)
12.0ms	re
11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

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)

regimes172.0ms (1.1%)

Memory

8.6MiB live, 83.3MiB allocated

Counts

41 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (sin.f64 im)))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) (sin.f64 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)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (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

5 calls:

68.0ms	im
67.0ms	(exp.f64 re)
12.0ms	re
12.0ms	(sin.f64 im)
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
98.1%	4	`re`
81.8%	2	`im`
100.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
95.3%	3	`(exp.f64 re)`
83.4%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes11.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

34 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
99.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes132.0ms (0.9%)

Memory

-24.5MiB live, 99.5MiB allocated

Counts

32 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))

Outputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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))) im))

Calls

5 calls:

68.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
31.0ms	(exp.f64 re)
11.0ms	im
10.0ms	re
10.0ms	(sin.f64 im)

Results

Accuracy	Segments	Branch
63.3%	2	`im`
63.3%	3	`(sin.f64 im)`
72.1%	3	`(exp.f64 re)`
73.8%	4	`re`
78.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes54.0ms (0.4%)

Memory

-3.0MiB live, 112.6MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))

Outputs

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

#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (*.f64 im im) #s(literal -1/6 binary64)))) (*.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))

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

Calls

5 calls:

12.0ms	(exp.f64 re)
11.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
11.0ms	(sin.f64 im)
9.0ms	re
9.0ms	im

Results

Accuracy	Segments	Branch
46.8%	3	`(sin.f64 im)`
44.4%	3	`im`
44.3%	2	`(exp.f64 re)`
46.0%	3	`re`
51.0%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im))))

Outputs

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

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
50.9%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes12.0ms (0.1%)

Memory

-11.3MiB live, 23.9MiB allocated

Counts

29 → 3

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (+ (* re (sin im)) (sin 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)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) im) re))))
#s(approx (* (exp re) (sin im)) (.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) #s(approx (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re) re))))
#s(approx (* (exp re) (sin 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))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 re im) #s(literal 1/6 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (*.f64 im re) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (*.f64 im im) re) im 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 (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (.f64 (-.f64 re #s(literal -1 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))
#s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) re) #s(approx (* (- 1 (* re re)) (sin im)) (*.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) im)))))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(approx (+ ( 1/36 (* re re)) -1/4) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (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) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) re) re #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) re #s(literal -1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64))) (*.f64 im im) re) im im)))

Outputs

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

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

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

Calls

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
47.0%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
45.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory

-21.9MiB live, 15.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
45.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes55.0ms (0.4%)

Memory

-1.5MiB live, 51.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	re
6.0ms	im
6.0ms	(sin.f64 im)
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
37.5%	1	`im`
37.5%	1	`(exp.f64 re)`
37.5%	1	`re`
37.5%	1	`(sin.f64 im)`
37.5%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes34.0ms (0.2%)

Memory

0.4MiB live, 35.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

16.0ms	re
5.0ms	(sin.f64 im)
5.0ms	im
4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
36.1%	1	`im`
38.1%	2	`re`
38.1%	2	`(exp.f64 re)`
36.1%	1	`(sin.f64 im)`
38.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes16.0ms (0.1%)

Memory

-8.2MiB live, 28.0MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
36.1%	1	`re`
36.1%	1	`(exp.f64 re)`
36.1%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.1%)

Memory

25.0MiB live, 62.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	im
4.0ms	(sin.f64 im)
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
36.2%	2	`re`
34.3%	1	`im`
36.2%	2	`(exp.f64 re)`
34.3%	1	`(sin.f64 im)`
36.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes21.0ms (0.1%)

Memory

-3.5MiB live, 35.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms	(exp.f64 re)
3.0ms	re
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
36.0%	2	`re`
36.0%	2	`(exp.f64 re)`
36.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes15.0ms (0.1%)

Memory

-4.0MiB live, 33.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

5 calls:

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

Results

Accuracy	Segments	Branch
31.1%	1	`im`
31.1%	1	`(sin.f64 im)`
31.1%	1	`re`
31.1%	1	`(exp.f64 re)`
31.1%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.1%)

Memory

19.0MiB live, 19.0MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.2%	2	`im`
31.0%	2	`re`
31.0%	2	`(exp.f64 re)`
30.6%	2	`(sin.f64 im)`
31.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes27.0ms (0.2%)

Memory

-20.4MiB live, 16.6MiB 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 (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 re im))))

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

Calls

5 calls:

21.0ms	(exp.f64 re)
1.0ms	re
1.0ms	(sin.f64 im)
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
6.6%	1	`(sin.f64 im)`
6.6%	1	`re`
6.6%	1	`(exp.f64 re)`
6.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
6.6%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9998244569943159	+inf
0.0ms	3.3555221292297976e-53	1.4713711093604308e-48
0.0ms	-0.13070216936898044	0.0
0.0ms	-inf	-0.999007938596717

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	0.9998244569943159	+inf
0.0ms	5.8961690912401926e-21	3.2994679717613465e-20
0.0ms	-0.13070216936898044	0.0
0.0ms	-inf	-0.999007938596717

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	0.9998244569943159	+inf
0.0ms	5.8961690912401926e-21	3.2994679717613465e-20
0.0ms	-0.13070216936898044	0.0
0.0ms	-inf	-0.999007938596717

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.4455991761148643	0.5188762240518369
0.0ms	-0.3418142623609913	-0.3164298219826855

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	4.0527433473555636e-307
0.0ms	-0.13070216936898044	0.0

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	0.0	4.0527433473555636e-307
0.0ms	-0.13070216936898044	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	0.0019186412836721383	0.040838221411768016

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0019186412836721383	0.040838221411768016

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	0.4455991761148643	0.5188762240518369

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	0.4455991761148643	0.5188762240518369

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	0.4455991761148643	0.5188762240518369

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch34.0ms (0.2%)

Memory

-6.4MiB live, 30.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	7.411560212058954e+28	1.4457198684919254e+31

Samples

9.0ms

112×

valid

Compiler

Compiled 85 to 108 computations (-27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sin: 4.0ms (66.2% of total)

ival-exp: 1.0ms (16.6% of total)

ival-mult: 1.0ms (16.6% of total)

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

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

simplify66.0ms (0.4%)

Memory

14.4MiB live, 52.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	153	1065
1	225	1058
2	316	1056
3	531	1054
4	1138	1054
5	2221	1054
6	5157	1036

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 336999333339383/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx ( (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im)))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin 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))) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/18014398509481984 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/2 binary64)) #s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (fma.f64 (neg.f64 (.f64 (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64))) (fma.f64 #s(literal -7/360 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (.f64 im im) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im)))) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 re) (* (- 1 (* re re)) (sin im))) (/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) re) (fma.f64 (neg.f64 re) re #s(literal 1 binary64)))) im)))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx (* (exp re) (sin im)) #s(approx (/ 1 (/ (- 1 re) (* (- 1 (* re re)) (sin im)))) (.f64 (fma.f64 (neg.f64 re) re #s(literal 1 binary64)) (/.f64 im (-.f64 #s(literal 1 binary64) re))))) #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 1152921504606847/576460752303423488 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/6 binary64)) (.f64 im im) re) im 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)))
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#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
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#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))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/2 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 115000000000000005101481623552 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 (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin 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 (sin.f64 im) (exp.f64 re)) #s(literal 1/2 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im re) #s(literal 1/2 binary64) im) re im))) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1/2 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1/2 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* (+ (* (* re im) 1/2) im) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/2 binary64))))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 115000000000000005101481623552 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 (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 re im)))))
(if (<=.f64 im #s(literal 115000000000000005101481623552 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 (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) #s(approx (+ (* re (sin im)) (sin im)) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness2.1s (13.9%)

Memory

-140.0MiB live, 1 281.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	194
0	47	194
1	148	194
2	981	194
0	8546	194
0	162	2261
1	531	2198
2	1488	2151
3	3864	2132
4	6996	2132
0	8193	1949
0	125	1727
1	406	1664
2	1117	1618
3	3954	1588
4	7383	1588
0	8095	1437
0	369	4411
1	1200	4178
2	3997	4036
0	8217	3709
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	5934	268
0	8221	246

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

Compiler

Compiled 831 to 377 computations (54.6% saved)

preprocess109.0ms (0.7%)

Memory: 24.4MiB live, 294.7MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 302 to 306 computations (76.5% 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	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5

start0.0ms (0%)

analyze0.0ms (0%)

sample869.0ms (5.8%)

explain74.0ms (0.5%)

preprocess21.0ms (0.1%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify3.0ms (0%)

localize22.0ms (0.1%)

series4.0ms (0%)

simplify246.0ms (1.6%)

rewrite13.0ms (0.1%)

eval5.0ms (0%)

prune18.0ms (0.1%)

simplify10.0ms (0.1%)

localize4.0s (26.4%)

series3.8s (25.5%)

simplify179.0ms (1.2%)

rewrite167.0ms (1.1%)

eval132.0ms (0.9%)

prune22.0ms (0.1%)

simplify38.0ms (0.3%)

localize90.0ms (0.6%)

series24.0ms (0.2%)

simplify167.0ms (1.1%)

rewrite302.0ms (2%)

eval113.0ms (0.7%)

prune131.0ms (0.9%)

simplify116.0ms (0.8%)

localize169.0ms (1.1%)

series61.0ms (0.4%)

simplify255.0ms (1.7%)

rewrite407.0ms (2.7%)

eval331.0ms (2.2%)

prune223.0ms (1.5%)

regimes140.0ms (0.9%)

regimes172.0ms (1.1%)

regimes11.0ms (0.1%)

regimes132.0ms (0.9%)

regimes54.0ms (0.4%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0%)

regimes8.0ms (0.1%)

regimes55.0ms (0.4%)

regimes34.0ms (0.2%)

regimes16.0ms (0.1%)

regimes21.0ms (0.1%)

regimes21.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes27.0ms (0.2%)

bsearch1.0ms (0%)

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%)

bsearch34.0ms (0.2%)

simplify66.0ms (0.4%)

soundness2.1s (13.9%)

preprocess109.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	31
1	38	29
2	77	27
3	148	27
4	295	27
5	440	27
6	461	27
7	475	27
8	482	27
9	482	27
0	5	5
0	8	5
1	9	5
0	9	5