Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.4s (8.3%)

Memory

26.4MiB live, 1 056.0MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 725.0ms

ival-sin: 355.0ms (49% of total)

ival-exp: 231.0ms (31.9% of total)

ival-mult: 130.0ms (17.9% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain68.0ms (0.4%)

Memory

-4.5MiB live, 114.5MiB 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

42.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 21.0ms (72.7% of total)

ival-exp: 4.0ms (13.8% of total)

ival-mult: 3.0ms (10.4% of total)

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

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

preprocess28.0ms (0.2%)

Memory

2.0MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`associate-r`
52×	`unsub-neg`
48×	`associate-l`
42×	`distribute-lft-neg-in`
38×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(negabs im)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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

5.4MiB live, 5.4MiB 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))

Rules

4×	`lower-*.f32`
2×	`lift-sin.f64`
2×	`*-commutative`
2×	`lift-exp.f64`
2×	`lower-*.f64`

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

localize25.0ms (0.1%)

Memory

-2.1MiB live, 41.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 im)
accuracy	0	(exp.f64 re)
accuracy	0.015625	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

20.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (42.8% of total)

ival-sin: 6.0ms (42.8% of total)

ival-exp: 2.0ms (14.3% of total)

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

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

series4.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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))

simplify177.0ms (1%)

Memory

-5.7MiB live, 185.5MiB allocated

Algorithm

1×	egg-herbie

Rules

15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
4 310×	`lower-*.f64`
4 310×	`lower-*.f32`
2 896×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

rewrite16.0ms (0.1%)

Memory

-4.9MiB live, 32.8MiB allocated

Rules

4×	`lower-*.f32`
2×	`lift-sin.f64`
2×	`lift-exp.f64`
2×	`lower-*.f64`
2×	`lower-sin.f32`

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

eval5.0ms (0%)

Memory: 17.1MiB live, 17.1MiB allocated
Compiler: Compiled 381 to 63 computations (83.5% saved)

prune9.0ms (0.1%)

Memory

-14.4MiB live, 24.6MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Accuracy

100.0%

Counts

52 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	69.4%	(*.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))
▶	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	55.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	55.2%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
	53.5%	#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
▶	64.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	54.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 143 to 115 computations (19.6% saved)

simplify10.0ms (0.1%)

Memory

29.5MiB live, 29.5MiB 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))

Rules

448×	`lower-fma.f32`
438×	`lower-fma.f64`
182×	`lower-*.f32`
174×	`lower-*.f64`
128×	`lower-+.f32`

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	258	149
5	312	149
6	329	149
0	329	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 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(exp.f64 re)
re
im
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(sin.f64 im)
im
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im

localize87.0ms (0.5%)

Memory

-16.9MiB live, 156.9MiB 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	(sin.f64 im)
accuracy	0.015625	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy	23.204940120521353	#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	(sin.f64 im)
accuracy	0.015625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	28.654504352410108	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0	(exp.f64 re)
accuracy	0.0078125	(*.f64 (exp.f64 re) im)
accuracy	22.89287920118286	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy	0	(sin.f64 im)
accuracy	28.946267746354728	#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	0.078125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.16015625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	19.550162773099274	#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

65.0ms

256×

valid

Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

const: 23.0ms (46.4% of total)

ival-mult: 11.0ms (22.2% of total)

ival-add: 6.0ms (12.1% of total)

ival-sin: 6.0ms (12.1% of total)

ival-exp: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.1%)

Memory

-10.5MiB live, 31.2MiB 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>) () ())) ())
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#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>) () ())) ())
#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
4.0ms	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))
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	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	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))

simplify184.0ms (1.1%)

Memory

18.4MiB live, 209.3MiB allocated

Algorithm

1×	egg-herbie

Rules

18 716×	`lower-fma.f64`
18 716×	`lower-fma.f32`
5 338×	`lower-*.f64`
5 338×	`lower-*.f32`
2 532×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1727
1	406	1664
2	1117	1618
3	3946	1588
4	7375	1588
0	8087	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))

rewrite8.0s (47%)

Memory

-12.3MiB live, 310.7MiB allocated

Rules

9 020×	`lower-fma.f32`
9 010×	`lower-fma.f64`
5 550×	`lower-*.f32`
5 542×	`lower-*.f64`
4 176×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	128	128
2	826	128
0	8345	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
(*.f64 (sin.f64 im) #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))))
(.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #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)))
(pow.f64 (/.f64 #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))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re) #s(literal 3 binary64))))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
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(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval98.0ms (0.6%)

Memory: -5.0MiB live, 267.4MiB allocated
Compiler: Compiled 14 141 to 2 213 computations (84.4% saved)

prune32.0ms (0.2%)

Memory

24.8MiB live, 103.7MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	717	17	734
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	718	24	742

Accuracy

100.0%

Counts

742 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.4%	(*.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))
✓	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	33.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	69.4%	(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
	63.6%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	55.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	30.1%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
▶	28.6%	(*.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)))
▶	17.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
	12.6%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (sin.f64 im))
	12.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	55.2%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
✓	64.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.9%	#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))
	33.6%	#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))
▶	25.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	54.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	31.4%	#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)))
▶	35.4%	#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)))
	28.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	29.7%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
	28.2%	#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 489 to 397 computations (18.8% saved)

simplify56.0ms (0.3%)

Memory

-19.4MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
cost-diff	0	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
cost-diff	0	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
cost-diff	0	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 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)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(fma.f64 (*.f64 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	#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	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))

Rules

1 424×	`lower-fma.f32`
1 410×	`lower-fma.f64`
636×	`lower-*.f32`
624×	`lower-*.f64`
294×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	68	314
1	112	314
2	187	314
3	454	314
4	848	314
5	1140	314
6	1204	314
7	1225	314
8	1246	314
9	1258	314
10	1259	314
11	1261	314
12	1261	314
13	1263	314
14	1267	314
15	1267	314
0	1267	314

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize106.0ms (0.6%)

Memory

15.9MiB live, 214.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.16015625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	19.550162773099274	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re)))
accuracy	33.92123479558054	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))
accuracy	0.015625	(*.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)))
accuracy	0.078125	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	28.654504352410108	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	35.082533364875204	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0.11328125	(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy	0.16015625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	20.00850389662547	#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	22.89287920118286	#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	0.0078125	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	22.89287920118286	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	29.090109140482273	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
accuracy	0.16015625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	0.3539619189061176	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
accuracy	19.550162773099274	#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64)))

Samples

79.0ms

256×

valid

Compiler

Compiled 211 to 34 computations (83.9% saved)

Precisions

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

ival-mult: 18.0ms (33.4% of total)

ival-add: 12.0ms (22.3% of total)

ival-sin: 6.0ms (11.1% of total)

const: 6.0ms (11.1% of total)

ival-div: 5.0ms (9.3% of total)

ival-pow: 3.0ms (5.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-16.8MiB live, 60.6MiB allocated

Counts

24 → 408

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	((/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (exp re) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (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) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (+ (* (pow im 3) -1/6) im) (* (+ (* 1/6 re) 1/2) re))
2.0ms	im	@	-inf	((/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (exp re) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (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) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (+ (* (pow im 3) -1/6) im) (* (+ (* 1/6 re) 1/2) re))
2.0ms	im	@	inf	((/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (exp re) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (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) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (+ (* (pow im 3) -1/6) im) (* (+ (* 1/6 re) 1/2) re))
2.0ms	re	@	-inf	((/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (exp re) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (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) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (+ (* (pow im 3) -1/6) im) (* (+ (* 1/6 re) 1/2) re))
2.0ms	re	@	inf	((/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (exp re) (+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (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) (+ 1 re) (sin im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (* (+ (* 1/6 re) 1/2) re) re) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (+ (* 1/6 re) 1/2) (* im (+ (* 1/6 re) 1/2)) (+ (* (pow im 3) -1/6) im) (* (+ (* 1/6 re) 1/2) re))

simplify165.0ms (1%)

Memory

0.9MiB live, 234.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 906×	`lower-fma.f64`
14 906×	`lower-fma.f32`
4 364×	`lower-*.f64`
4 364×	`lower-*.f32`
3 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	236	3096
1	743	2907
2	2249	2849
3	5127	2826
0	8489	2539

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 399

Calls

Call 1

Inputs
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)))))))
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) (* 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))))))
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)))))))
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 (* re (+ 1/2 (* 1/6 re))))))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
1
(+ 1 (* -1/2 re))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
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 re)
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 re)))
(* re (+ 1/2 (* 1/6 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))
(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))))))
(* (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))
(* 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))
(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)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 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 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 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))
(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)))
(* (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))
(* 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))
(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)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 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 (pow re 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 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
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 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) (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))
(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 (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* -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))
(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 (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* im (+ 1/2 (* 1/6 re)))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 re))
(fma.f64 re #s(literal 1/2 binary64) #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 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
im
(+ im (* 1/2 (* im re)))
(fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im)
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))
(*.f64 im (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 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(*.f64 (sin.f64 im) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (*.f64 (sin.f64 im) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 re)
(+.f64 re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* 1/2 re))))
(fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
re
(* re (+ 1 (* 1/2 re)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re)
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 re))
(fma.f64 #s(literal -1/2 binary64) re #s(literal 1 binary64))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) re #s(literal 1/12 binary64)) re #s(literal -1/2 binary64)) re #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 im)
(*.f64 im #s(literal 1/2 binary64))
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(+ (* 1/6 (* im re)) (* 1/2 im))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* 1/2 re)
(*.f64 re #s(literal 1/2 binary64))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* 1/6 (pow re 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)
(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))
(* (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)
(* 1/6 (* im (pow re 3)))
(.f64 (.f64 (pow.f64 re #s(literal 3 binary64)) im) #s(literal 1/6 binary64))
(* (pow re 3) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(*.f64 (fma.f64 im (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (/.f64 (/.f64 im re) re)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (+ (/ im (pow re 2)) (/ im (pow re 3))))))
(*.f64 (fma.f64 (/.f64 im re) (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)) (fma.f64 im #s(literal 1/6 binary64) (/.f64 im (pow.f64 re #s(literal 3 binary64))))) (pow.f64 re #s(literal 3 binary64)))
(* 1/6 (* im (pow re 2)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(* (pow re 2) (+ (* 1/6 im) (* 1/2 (/ im re))))
(.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(.f64 re (fma.f64 (fma.f64 im #s(literal 1/6 binary64) (/.f64 (/.f64 im re) re)) re (.f64 im #s(literal 1/2 binary64))))
(* (pow re 2) (+ (* 1/6 im) (+ (* 1/2 (/ im re)) (/ im (pow re 2)))))
(.f64 re (fma.f64 (fma.f64 im #s(literal 1/6 binary64) (/.f64 (/.f64 im re) re)) re (.f64 im #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)
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))
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(exp re)
(exp.f64 re)
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 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)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(/ 6 (pow re 2))
(/.f64 #s(literal 6 binary64) (*.f64 re re))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re)) re)) (*.f64 re re))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 re #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) re)) re)) (*.f64 re re))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/6 (* im re))
(.f64 (.f64 im re) #s(literal 1/6 binary64))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* re (+ (* 1/6 im) (* 1/2 (/ im re))))
(*.f64 im (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))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(* 1/6 (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)
(exp.f64 re)
(exp re)
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(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* -1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(* -1 (* im (- (* re (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)) 1)))
(fma.f64 (*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re im)
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1)))
(*.f64 im (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))
(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 (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* im (+ 1/2 (* 1/6 re)))
(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(* -1/6 (pow im 3))
(*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)

rewrite208.0ms (1.2%)

Memory

-12.8MiB live, 370.4MiB allocated

Rules

5 094×	`lower-fma.f32`
5 080×	`lower-fma.f64`
4 704×	`lower-*.f32`
4 692×	`lower-*.f64`
3 990×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	291
0	68	272
1	231	272
2	1399	272
0	8302	272

Stop Event

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

Counts

24 → 453

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64))))
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #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))))
(*.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)) (+.f64 (pow.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re #s(literal -1 binary64)))
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(pow.f64 (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (fma.f64 (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (.f64 im im) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))))
(/.f64 (neg.f64 (-.f64 (.f64 im im) (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))))) (neg.f64 (-.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (.f64 im im))) (.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))
(/.f64 (-.f64 (.f64 im im) (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)))) (-.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im))) (neg.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 (neg.f64 im) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 im (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 im #s(literal 9 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3/2 binary64))) (pow.f64 im #s(literal 3/2 binary64)) im)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 im im) im)
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal -1/6 binary64)) im)
(fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 im (.f64 (.f64 im im) #s(literal -1/6 binary64)) im)
(-.f64 (/.f64 (.f64 im im) (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 im (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)) (/.f64 (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))) im)
(+.f64 im (*.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re)
(.f64 re (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 re (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64)) re))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) (.f64 (.f64 re #s(literal 1/6 binary64)) re) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re)) (.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) (.f64 #s(literal 1/2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 #s(literal 1/2 binary64) re) (-.f64 (.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) (.f64 (.f64 re #s(literal 1/6 binary64)) re)) (.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (.f64 re #s(literal 1/6 binary64)) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64))) (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (.f64 re (.f64 re #s(literal 1/6 binary64)))) (.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (.f64 re #s(literal 1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) re)) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 re (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 re (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) re) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) re) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(/.f64 (.f64 re (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64))) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 re (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64)))))
(fma.f64 (.f64 re #s(literal 1/6 binary64)) re (.f64 #s(literal 1/2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) re (.f64 (.f64 re #s(literal 1/6 binary64)) re))
(fma.f64 re (.f64 re #s(literal 1/6 binary64)) (.f64 re #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1/2 binary64) (.f64 re (.f64 re #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 re #s(literal 1/6 binary64)) re) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (*.f64 re #s(literal 1/6 binary64)) re))
(+.f64 (.f64 re (.f64 re #s(literal 1/6 binary64))) (*.f64 re #s(literal 1/2 binary64)))
(+.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 re (*.f64 re #s(literal 1/6 binary64))))

eval252.0ms (1.5%)

Memory: 10.7MiB live, 243.1MiB allocated
Compiler: Compiled 19 863 to 3 040 computations (84.7% saved)

prune87.0ms (0.5%)

Memory

10.3MiB live, 125.0MiB allocated

Pruning

30 alts after pruning (20 fresh and 10 done)

	Pruned	Kept	Total
New	915	13	928
Fresh	6	7	13
Picked	1	4	5
Done	0	6	6
Total	922	30	952

Accuracy

100.0%

Counts

952 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.4%	(*.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))
	33.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	69.4%	(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
	56.1%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
▶	68.5%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
▶	63.6%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	55.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	30.1%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
▶	28.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
✓	17.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	12.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	12.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	55.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
✓	64.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.9%	#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))
	33.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	25.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	54.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	31.4%	#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)))
✓	35.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	35.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) re im) re im)))
	34.9%	#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 im re) #s(literal 1/6 binary64))) re im) re im)))
▶	35.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
	34.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)) re im)))
▶	28.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	13.4%	#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 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
	29.7%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))

Compiler

Compiled 650 to 513 computations (21.1% saved)

simplify373.0ms (2.2%)

Memory

5.6MiB live, 87.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
cost-diff	0	#s(approx (exp re) (+.f64 (*.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) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
cost-diff	128	(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
cost-diff	0	#s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
cost-diff	0	#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
cost-diff	0	(fma.f64 re im im)
cost-diff	0	#s(approx (* (exp re) im) (fma.f64 re im im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))
cost-diff	0	#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))

Rules

3 816×	`lower-fma.f32`
3 806×	`lower-fma.f64`
1 996×	`lower-*.f32`
1 978×	`lower-*.f64`
1 222×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	418
0	80	418
1	136	415
2	220	412
3	413	412
4	495	412
5	623	412
6	705	412
7	853	412
8	1110	412
9	1814	412
10	2765	412
11	3702	412
12	4078	412
13	4499	412
14	4822	412
15	5045	412
16	5171	412
17	5308	412
18	5380	412
19	5400	412
20	5402	412
21	5402	412
22	5402	412
23	5402	412
24	5416	412
25	5441	412
26	5441	412
27	5441	412
28	5443	412
0	5443	388

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re)
(-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))
#s(literal 6 binary64)
(/.f64 #s(literal 18 binary64) re)
#s(literal 18 binary64)
re
(sin.f64 im)
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(.f64 (.f64 re re) im)
(*.f64 re re)
re
im
#s(literal 1/6 binary64)
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
#s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
(.f64 #s(literal -1/6 binary64) (.f64 im im))
#s(literal -1/6 binary64)
(*.f64 im im)
im
(.f64 #s(approx (exp re) (+.f64 (.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) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 (sin.f64 im) #s(approx (exp re) (-.f64 (/.f64 re #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal -1 binary64))))
#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)))
#s(approx (exp re) (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))
(-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re)
(-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))
#s(literal 6 binary64)
(/.f64 #s(literal 18 binary64) re)
#s(literal 18 binary64)
re
(sin.f64 im)
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 (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
#s(approx (* (exp re) im) (fma.f64 im re im))
(fma.f64 re im im)
(fma.f64 im re im)
re
im
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))
(.f64 (.f64 re re) im)
(*.f64 re re)
re
im
#s(literal 1/6 binary64)
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(*.f64 #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #s(approx (exp re) (-.f64 re #s(literal -1 binary64))))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
#s(approx (exp re) (-.f64 re #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) re)
(-.f64 re #s(literal -1 binary64))
#s(literal 1 binary64)
re
#s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))
#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(.f64 #s(literal -1/6 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 im im)
im
(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
(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

localize213.0ms (1.2%)

Memory

-11.8MiB live, 183.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 im)
accuracy	0.0078125	(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
accuracy	0.015625	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
accuracy	23.204940120521353	#s(approx (exp re) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
accuracy	0.046875	(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
accuracy	0.1953125	(.f64 #s(literal -1/6 binary64) (.f64 im im))
accuracy	28.654504352410108	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	35.082533364875204	#s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))
accuracy	9.142667671166697	(.f64 (.f64 re re) im)
accuracy	20.00850389662547	#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))
accuracy	22.89287920118286	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
accuracy	33.999412694668294	#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64)))
accuracy	0	(fma.f64 re im im)
accuracy	22.89287920118286	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy	25.354047813852127	#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy	0.1328125	(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
accuracy	0.1328125	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))
accuracy	19.550162773099274	#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)))
accuracy	34.46717964040664	#s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))

Samples

133.0ms

256×

valid

Compiler

Compiled 217 to 45 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-div: 56.0ms (52.2% of total)

ival-mult: 24.0ms (22.4% of total)

ival-add: 11.0ms (10.3% of total)

ival-sin: 6.0ms (5.6% of total)

const: 6.0ms (5.6% of total)

ival-exp: 2.0ms (1.9% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory

16.7MiB live, 53.9MiB allocated

Counts

25 → 432

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())
#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) (patch #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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 (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) (patch #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) (patch (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp re) (+.f64 (.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) (+.f64 (.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) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (patch #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)) (patch #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re) (patch (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re) #<representation binary64>) () ())
#s(alt (.f64 (.f64 re re) im) (patch (.f64 (.f64 re re) im) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -1/6 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/6 binary64) (.f64 im im)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) #<representation binary64>) () ())
#s(alt (sin.f64 im) (patch (sin.f64 im) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 re) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1 (* 1/2 re)))) (taylor 0 re) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) (patch (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 re) (taylor 0 re) (#s(alt #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) 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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (patch #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* re (+ 1/2 (* 1/6 re)))) (taylor 0 re) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())) ())
#s(alt (+ (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)) #s(approx (* (exp re) im) (fma.f64 re im im))) (patch #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 re im im)) (patch #s(approx (* (exp re) im) (fma.f64 re im im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (fma.f64 re im im) (patch (fma.f64 re im im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt im (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (taylor 0 re) (#s(alt (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 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)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im)) (patch #s(approx ( (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) 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 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) re im) (patch (fma.f64 #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) (patch #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) (patch #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) (patch #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1 (* re (+ 1/2 (* 1/6 re)))) 1))) (taylor -inf im) (#s(alt #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (.f64 re re) im) #s(literal 1/6 binary64))) (patch #s(approx (+ ( (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (patch (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) (patch #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) (patch #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) (patch #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) (patch #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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) (+.f64 (.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 (* im (pow re 2)) (taylor -inf im) (#s(alt (.f64 (.f64 re re) im) (patch (.f64 (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* im (pow re 2)) (taylor -inf im) (#s(alt (.f64 (.f64 re re) im) (patch (.f64 (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* im (pow re 2)) (taylor -inf im) (#s(alt (.f64 (.f64 re re) im) (patch (.f64 (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* im (pow re 2)) (taylor -inf im) (#s(alt (.f64 (.f64 re re) im) (patch (.f64 (.f64 re re) im) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/6 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/6 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/6 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 2)) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) (.f64 im im)) (patch (.f64 #s(literal -1/6 binary64) (.f64 im im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2))))) (taylor -inf im) (#s(alt (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im) (patch (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im 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
7.0ms	im	@	inf	((+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (exp re) (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) 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) (+ 1 re) (sin im) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (* (+ (* 1/2 re) 1) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/ (/ (- 6 (/ 18 re)) re) re) (* (* re re) im) (* -1/6 (* im im)) (+ (* (* -1/6 (* im im)) im) im) (sin im))
4.0ms	re	@	inf	((+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (exp re) (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) 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) (+ 1 re) (sin im) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (* (+ (* 1/2 re) 1) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/ (/ (- 6 (/ 18 re)) re) re) (* (* re re) im) (* -1/6 (* im im)) (+ (* (* -1/6 (* im im)) im) im) (sin im))
3.0ms	im	@	-inf	((+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (exp re) (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) 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) (+ 1 re) (sin im) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (* (+ (* 1/2 re) 1) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/ (/ (- 6 (/ 18 re)) re) re) (* (* re re) im) (* -1/6 (* im im)) (+ (* (* -1/6 (* im im)) im) im) (sin im))
2.0ms	re	@	-inf	((+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (exp re) (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) 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) (+ 1 re) (sin im) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (* (+ (* 1/2 re) 1) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/ (/ (- 6 (/ 18 re)) re) re) (* (* re re) im) (* -1/6 (* im im)) (+ (* (* -1/6 (* im im)) im) im) (sin im))
2.0ms	im	@	0	((+ (* (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (* (exp re) (sin im)) (exp re) (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) 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) (+ 1 re) (sin im) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (* (+ (* 1/2 re) 1) re) (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/ (/ (- 6 (/ 18 re)) re) re) (* (* re re) im) (* -1/6 (* im im)) (+ (* (* -1/6 (* im im)) im) im) (sin im))

simplify209.0ms (1.2%)

Memory

-6.5MiB live, 234.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 886×	`lower-fma.f64`
12 886×	`lower-fma.f32`
4 358×	`lower-*.f64`
4 358×	`lower-*.f32`
2 706×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	3094
1	770	2939
2	2340	2879
3	6756	2871
0	8297	2600

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 421

Calls

Call 1

Inputs
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
1
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
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 (* 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)))))))
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)
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* 1/2 re))))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* 1/2 re)))
1
(+ 1 (* -1/2 re))
(+ 1 (* re (- (* 1/12 re) 1/2)))
(+ 1 (* re (- (* re (+ 1/12 (* 1/24 re))) 1/2)))
(/ -18 (pow re 3))
(/ (- (* 6 re) 18) (pow re 3))
(/ (- (* 6 re) 18) (pow re 3))
(/ (- (* 6 re) 18) (pow re 3))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp 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))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im re)
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* re (+ im (/ im re)))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 1/6 (* 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))
(exp re)
(exp re)
(exp re)
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (/ 18 (pow re 2))) (* 18 (/ 1 re))) (pow re 2))
(/ (- (+ 6 (+ (* 54 (/ 1 (pow re 3))) (/ 18 (pow re 2)))) (* 18 (/ 1 re))) (pow re 2))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* 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)))
(* (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 2))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 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))
(* 1/6 (* 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))
(exp re)
(exp re)
(exp re)
(exp re)
re
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* re (+ 1 (/ 1 re)))
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(exp re)
(exp re)
(exp re)
(exp re)
(* 1/2 (pow re 2))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (+ 6 (* -1 (/ (- 18 (* 18 (/ 1 re))) re))) (pow re 2))
(/ (+ 6 (* -1 (/ (+ 18 (* -1 (/ (+ 18 (* 54 (/ 1 re))) re))) re))) (pow re 2))
(/ 6 (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(/ (- 6 (* 18 (/ 1 re))) (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (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 (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (+ 1 re))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (+ 1 (* re (+ 1 (* 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
(* 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 (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* -1/6 (pow im 2))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* 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 (* 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))
(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 (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 3))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(* (pow im 3) (- (/ 1 (pow im 2)) 1/6))
(sin im)
(sin im)
(sin im)
(sin im)
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* (exp re) (sin im))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* im (exp re))
(* -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 (* 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))
(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 (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* im (pow re 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 2))
(* -1/6 (pow im 3))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(* -1 (* (pow im 3) (- 1/6 (/ 1 (pow im 2)))))
(sin im)
(sin im)
(sin im)
(sin im)

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

rewrite250.0ms (1.5%)

Memory

-0.7MiB live, 231.5MiB allocated

Rules

5 124×	`lower-fma.f32`
5 114×	`lower-fma.f64`
3 998×	`lower-*.f32`
3 980×	`lower-*.f64`
3 826×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	366
0	80	366
1	291	360
2	1950	360
0	8078	336

Stop Event

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

Counts

25 → 321

Calls

Call 1

Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) im) (fma.f64 re im im))
(fma.f64 re im im)
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))
(fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)
#s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(+.f64 #s(literal 1 binary64) re)
#s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))
(.f64 #s(approx (exp re) (+.f64 (.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) (+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
#s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))
(/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)
(.f64 (.f64 re re) im)
(.f64 #s(literal -1/6 binary64) (.f64 im im))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)
(sin.f64 im)

Outputs
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(.f64 (+.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))) (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re)))) (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64)) (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64)) (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64)) (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (/.f64 re #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 2 binary64)) (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64))) (pow.f64 (-.f64 (/.f64 re #s(approx (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) #s(literal 1 binary64)) #s(literal -1 binary64))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im))) (neg.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)))
(/.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))) (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (neg.f64 im) im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64)) (-.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 4 binary64))))) (fma.f64 (pow.f64 im #s(literal 9 binary64)) #s(literal -1/216 binary64) (pow.f64 im #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(literal -1/6 binary64) im) (.f64 im im) im)
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(fma.f64 (.f64 (.f64 im im) #s(literal -1/6 binary64)) im im)
(fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)
(fma.f64 #s(literal -1/6 binary64) (pow.f64 im #s(literal 3 binary64)) im)
(fma.f64 im (.f64 (.f64 im im) #s(literal -1/6 binary64)) im)
(-.f64 (/.f64 (.f64 im im) (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (-.f64 im (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))) (/.f64 (.f64 im im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) (neg.f64 im))))
(+.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) im)
(+.f64 im (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(sin.f64 im)

eval239.0ms (1.4%)

Memory: -3.8MiB live, 160.4MiB allocated
Compiler: Compiled 13 469 to 1 988 computations (85.2% saved)

prune46.0ms (0.3%)

Memory

21.0MiB live, 103.3MiB allocated

Pruning

34 alts after pruning (21 fresh and 13 done)

	Pruned	Kept	Total
New	744	10	754
Fresh	4	11	15
Picked	2	3	5
Done	0	10	10
Total	750	34	784

Accuracy

100.0%

Counts

784 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	69.4%	(*.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))
	36.9%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
✓	63.6%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	33.6%	(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
✓	69.4%	(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
	56.1%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
	68.5%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) (*.f64 re re)))) re #s(literal 1 binary64))) (sin.f64 im))
	68.5%	(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))) re)))) re #s(literal 1 binary64))) (sin.f64 im))
✓	63.6%	(.f64 #s(approx (exp re) (+.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re) #s(literal 1 binary64))) (sin.f64 im))
✓	55.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	28.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) im) im) im im)))
	55.4%	(.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
	18.0%	(.f64 #s(approx (exp re) #s(approx (+ ( (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
✓	17.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	12.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
	12.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	28.2%	(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
	55.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
✓	64.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.9%	#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))
	33.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	25.3%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	54.8%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	31.4%	#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)))
✓	35.4%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	35.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) re im) re im)))
	34.9%	#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 im re) #s(literal 1/6 binary64))) re im) re im)))
✓	35.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
	34.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
✓	28.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	13.4%	#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 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
	13.7%	#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 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
	6.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

Compiler

Compiled 1 047 to 543 computations (48.1% saved)

regimes161.0ms (0.9%)

Memory

-12.4MiB live, 220.5MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.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 (* (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im 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 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)) re 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 im re) #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)) (*.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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) im) im) im im)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (.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) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) (*.f64 re re)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))) re)))) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
#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)))

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

Calls

5 calls:

52.0ms	im
45.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
29.0ms	re
26.0ms	(sin.f64 im)
5.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes474.0ms (2.8%)

Memory

16.2MiB live, 697.4MiB allocated

Counts

45 → 5

Calls

Call 1

Inputs
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (exp re) (sin im)) (*.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 (* (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)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #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 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
(.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im 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 im (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))) re))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)) re 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 im re) #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)) (*.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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 (*.f64 #s(literal -1/6 binary64) im) im) im im)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 re #s(literal 1/6 binary64) #s(literal -1/2 binary64)))) re im) re im)))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 (*.f64 re re) #s(literal 1/2 binary64) re))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 (.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) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (/ 1 (/ 1 (+ (* (+ (* 1/6 re) 1/2) re) 1))) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
(.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re re))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 re #s(literal 1/2 binary64) #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))
(*.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) (*.f64 re re)))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re)) re) re))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) re))) re)))) re #s(literal 1 binary64))) (sin.f64 im))

Outputs
(.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (*.f64 im im)) im im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

5 calls:

193.0ms	re
128.0ms	(sin.f64 im)
94.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
48.0ms	im
9.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
97.1%	4	`re`
83.0%	2	`im`
99.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
93.9%	3	`(exp.f64 re)`
82.2%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes134.0ms (0.8%)

Memory

-35.4MiB live, 134.1MiB allocated

Counts

38 → 5

Calls

Call 1

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

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

Calls

1 calls:

132.0ms

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

Results

Accuracy	Segments	Branch
99.4%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes57.0ms (0.3%)

Memory

5.4MiB live, 121.0MiB allocated

Counts

34 → 5

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

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

Results

Accuracy	Segments	Branch
99.4%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes95.0ms (0.6%)

Memory

-8.0MiB live, 112.0MiB allocated

Counts

32 → 5

Calls

Call 1

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

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

Calls

1 calls:

91.0ms

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

Results

Accuracy	Segments	Branch
98.7%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes54.0ms (0.3%)

Memory

9.5MiB live, 126.9MiB allocated

Counts

28 → 5

Calls

Call 1

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

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

Calls

1 calls:

52.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes116.0ms (0.7%)

Memory

3.1MiB live, 198.0MiB allocated

Counts

23 → 5

Calls

Call 1

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

2 calls:

72.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
42.0ms	re

Results

Accuracy	Segments	Branch
93.5%	3	`re`
98.4%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes223.0ms (1.3%)

Memory

9.4MiB live, 297.8MiB allocated

Counts

21 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

89.0ms	(sin.f64 im)
54.0ms	im
49.0ms	re
25.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
62.5%	3	`(sin.f64 im)`
62.4%	2	`im`
67.5%	2	`re`
67.5%	2	`(exp.f64 re)`
72.0%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes163.0ms (1%)

Memory

-6.0MiB live, 185.3MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

5 calls:

115.0ms	(sin.f64 im)
16.0ms	im
16.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
11.0ms	re
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
43.1%	2	`(sin.f64 im)`
37.9%	1	`im`
37.9%	1	`re`
37.9%	1	`(exp.f64 re)`
43.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes42.0ms (0.2%)

Memory

1.1MiB live, 121.4MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

2 calls:

26.0ms	(sin.f64 im)
14.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
43.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
43.0%	2	`(sin.f64 im)`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes58.0ms (0.3%)

Memory

22.6MiB live, 60.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

2 calls:

44.0ms	(sin.f64 im)
12.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
42.3%	2	`(sin.f64 im)`
42.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes60.0ms (0.4%)

Memory

1.5MiB live, 38.4MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

59.0ms

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

Results

Accuracy	Segments	Branch
42.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes46.0ms (0.3%)

Memory

-29.8MiB live, 62.3MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

29.0ms	(sin.f64 im)
16.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
39.5%	2	`(sin.f64 im)`
39.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes29.0ms (0.2%)

Memory

-8.0MiB live, 28.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

28.0ms

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

Results

Accuracy	Segments	Branch
39.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes47.0ms (0.3%)

Memory

37.2MiB live, 71.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

26.0ms	im
7.0ms	(sin.f64 im)
7.0ms	re
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
35.0%	1	`re`
35.0%	1	`im`
35.0%	1	`(exp.f64 re)`
35.0%	1	`(sin.f64 im)`
35.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes48.0ms (0.3%)

Memory

-22.3MiB live, 64.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	im
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms	(sin.f64 im)
6.0ms	re
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
34.6%	1	`re`
34.6%	1	`im`
34.6%	1	`(exp.f64 re)`
34.6%	1	`(sin.f64 im)`
34.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes43.0ms (0.3%)

Memory

-8.9MiB live, 109.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	re
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(sin.f64 im)
6.0ms	im
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
35.5%	3	`re`
33.6%	1	`im`
33.6%	1	`(exp.f64 re)`
33.6%	1	`(sin.f64 im)`
35.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
33.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes21.0ms (0.1%)

Memory

-12.8MiB live, 63.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.4%	1	`re`
31.4%	1	`im`
31.4%	1	`(sin.f64 im)`
31.4%	1	`(exp.f64 re)`
31.4%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes18.0ms (0.1%)

Memory

30.7MiB live, 68.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

5 calls:

5.0ms	im
4.0ms	(sin.f64 im)
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
28.2%	1	`re`
28.2%	1	`(sin.f64 im)`
28.2%	1	`im`
28.2%	1	`(exp.f64 re)`
28.2%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes34.0ms (0.2%)

Memory

-15.9MiB live, 105.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	im
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(sin.f64 im)
6.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
28.5%	2	`im`
28.3%	2	`re`
28.3%	2	`(exp.f64 re)`
27.9%	2	`(sin.f64 im)`
28.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.1%)

Memory

4.0MiB live, 43.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
6.7%	1	`(sin.f64 im)`
6.7%	1	`re`
6.7%	1	`(exp.f64 re)`
6.7%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
6.7%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

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	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9999682878968096	+inf
0.0ms	8.943480880513168e-48	3.1562591424888604e-45
0.0ms	-0.036477320297241815	-0.0
0.0ms	-inf	-903.9212938108336

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	0.9999682878968096	+inf
0.0ms	-inf	-903.9212938108336

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004588397576413	0.0035904386786992297

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	0.0	5.190888480768955e-295

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch22.0ms (0.1%)

Memory

-49.6MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.190888480768955e-295

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.190888480768955e-295

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.190888480768955e-295

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004588397576413	0.014621633946054828

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9761756046631739	0.9866751430612504

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch10.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.8093342487318056e+50	5.665415757782804e+50

Samples

6.0ms

80×

valid

Compiler

Compiled 63 to 80 computations (-27% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 3.0ms (74.8% of total)

ival-exp: 1.0ms (24.9% of total)

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

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

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

simplify30.0ms (0.2%)

Memory

17.4MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`-commutative-binary64-.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`
2×	`+-commutative-binary64-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	1239
1	177	1239

Stop Event

1×

saturated

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)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( (+ (* 1/6 re) 1/2) re) 1)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal -1/2 binary64)) re #s(literal 1 binary64)))) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (exp.f64 re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 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)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4113761393303015/411376139330301510538742295639337626245683966408394965837152256 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)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (sin.f64 im) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) 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)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) 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)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) 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)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2206763817411543/2251799813685248 binary64)) #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 (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) 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))
#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 re im im)))
(if (<=.f64 im #s(literal 260000000000000019837401586838906208566908924461056 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1152921504606847/2305843009213693952 binary64)) (.f64 #s(approx (exp re) #s(approx (+ 1 re) #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) #s(literal -1/6 binary64)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 im re) re) #s(literal 1/6 binary64))) re im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 2206763817411543/2251799813685248 binary64)) #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 (+ (* (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) re) im) (.f64 (.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 2206763817411543/2251799813685248 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 (+ (* (+ (* (* 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) (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) (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 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 260000000000000019837401586838906208566908924461056 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness2.4s (14.2%)

Memory

24.4MiB live, 1 569.0MiB allocated

Rules

18 716×	`lower-fma.f64`
18 716×	`lower-fma.f32`
15 566×	`lower-fma.f64`
15 566×	`lower-fma.f32`
14 906×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	3094
1	770	2939
2	2340	2879
3	6756	2871
0	8297	2600
0	125	1727
1	406	1664
2	1117	1618
3	3946	1588
4	7375	1588
0	8087	1437
0	236	3096
1	743	2907
2	2249	2849
3	5127	2826
0	8489	2539
0	25	128
0	43	128
1	128	128
2	826	128
0	8345	128
0	44	291
0	68	272
1	231	272
2	1399	272
0	8302	272
0	52	366
0	80	366
1	291	360
2	1950	360
0	8078	336
0	71	297
1	221	286
2	584	274
3	1576	268
4	2434	268
5	3117	268
6	3582	268
7	3732	268
8	4021	268
9	5959	268
0	8246	246

Stop Event

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

Compiler

Compiled 1 616 to 845 computations (47.7% saved)

preprocess152.0ms (0.9%)

Memory: 4.6MiB live, 403.3MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 764 to 306 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (8.3%)

explain68.0ms (0.4%)

preprocess28.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize25.0ms (0.1%)

series4.0ms (0%)

simplify177.0ms (1%)

rewrite16.0ms (0.1%)

eval5.0ms (0%)

prune9.0ms (0.1%)

simplify10.0ms (0.1%)

localize87.0ms (0.5%)

series17.0ms (0.1%)

simplify184.0ms (1.1%)

rewrite8.0s (47%)

eval98.0ms (0.6%)

prune32.0ms (0.2%)

simplify56.0ms (0.3%)

localize106.0ms (0.6%)

series31.0ms (0.2%)

simplify165.0ms (1%)

rewrite208.0ms (1.2%)

eval252.0ms (1.5%)

prune87.0ms (0.5%)

simplify373.0ms (2.2%)

localize213.0ms (1.2%)

series36.0ms (0.2%)

simplify209.0ms (1.2%)

rewrite250.0ms (1.5%)

eval239.0ms (1.4%)

prune46.0ms (0.3%)

regimes161.0ms (0.9%)

regimes474.0ms (2.8%)

regimes134.0ms (0.8%)

regimes57.0ms (0.3%)

regimes95.0ms (0.6%)

regimes54.0ms (0.3%)

regimes116.0ms (0.7%)

regimes223.0ms (1.3%)

regimes163.0ms (1%)

regimes42.0ms (0.2%)

regimes58.0ms (0.3%)

regimes60.0ms (0.4%)

regimes46.0ms (0.3%)

regimes29.0ms (0.2%)

regimes47.0ms (0.3%)

regimes48.0ms (0.3%)

regimes43.0ms (0.3%)

regimes5.0ms (0%)

regimes21.0ms (0.1%)

regimes18.0ms (0.1%)

regimes34.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch22.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify30.0ms (0.2%)

soundness2.4s (14.2%)

preprocess152.0ms (0.9%)

end0.0ms (0%)

Profiling

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