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)

sample1.3s (8.5%)

Memory

10.3MiB live, 955.4MiB allocated

Samples

833.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 467.0ms

ival-sin: 283.0ms (60.6% of total)

ival-exp: 98.0ms (21% of total)

ival-mult: 76.0ms (16.3% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain62.0ms (0.4%)

Memory

30.0MiB live, 152.1MiB 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

35.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sin: 13.0ms (61.9% of total)

ival-exp: 4.0ms (19% of total)

ival-mult: 3.0ms (14.3% of total)

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

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

preprocess27.0ms (0.2%)

Memory

-28.6MiB live, 46.7MiB 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

0.9MiB live, 0.9MiB 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

4.7MiB live, 4.7MiB 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

localize24.0ms (0.2%)

Memory

-5.7MiB live, 36.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 6.0ms (46.6% of total)

ival-sin: 5.0ms (38.8% of total)

ival-mult: 2.0ms (15.5% of total)

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

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

series4.0ms (0%)

Memory

6.4MiB live, 6.4MiB 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))
0.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (sin im))
0.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (sin im))
0.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (sin im))

simplify172.0ms (1.2%)

Memory

0.7MiB live, 216.0MiB 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)

rewrite14.0ms (0.1%)

Memory

-4.5MiB live, 34.6MiB 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: 13.5MiB live, 13.5MiB allocated
Compiler: Compiled 381 to 63 computations (83.5% saved)

prune7.0ms (0%)

Memory

-17.5MiB live, 21.7MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

52 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.5%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	67.4%	(*.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))
▶	53.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	53.8%	#s(approx (* (exp re) (sin im)) (fma.f64 re (sin.f64 im) (sin.f64 im)))
	62.3%	#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))
▶	69.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	52.9%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 138 to 110 computations (20.3% saved)

simplify13.0ms (0.1%)

Memory

-15.7MiB live, 27.8MiB 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

localize63.0ms (0.4%)

Memory

-1.2MiB 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	0.00390625	(*.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	20.868356057049517	#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	0.00390625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	29.445781733101477	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0	(exp.f64 re)
accuracy	0.0078125	(*.f64 (exp.f64 re) im)
accuracy	19.776857023516033	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
accuracy	0	(sin.f64 im)
accuracy	30.175728986691784	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.05078125	(fma.f64 (fma.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	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	18.18981560289987	#s(approx (exp re) (fma.f64 (fma.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

46.0ms

256×

valid

Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (39.4% of total)

ival-add: 6.0ms (19.7% of total)

ival-sin: 6.0ms (19.7% of total)

const: 3.0ms (9.8% of total)

ival-exp: 2.0ms (6.6% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.1%)

Memory

3.2MiB live, 41.9MiB 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 (+ 1 (* 1/2 re)) (taylor 0 re) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (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
2.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (sin im) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (+ (* 1/2 re) 1) (+ (* 1/6 re) 1/2))
1.0ms	im	@	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))

simplify341.0ms (2.3%)

Memory

21.8MiB live, 252.5MiB 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))

rewrite429.0ms (2.9%)

Memory

7.0MiB live, 294.5MiB 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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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.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 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (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))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re))))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #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)) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 re (-.f64 (*.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re))))
(/.f64 (.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/1296 binary64) (pow.f64 re #s(literal 4 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 re re) #s(literal 1/144 binary64)))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/10077696 binary64) (pow.f64 re #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 re #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/1728 binary64)))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re)))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (*.f64 re re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 re (-.f64 (.f64 #s(literal 1/36 binary64) re) #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 re #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/12 binary64) re))))))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(fma.f64 re #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 re re)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))

eval426.0ms (2.9%)

Memory: -23.7MiB live, 216.3MiB allocated
Compiler: Compiled 14 141 to 2 213 computations (84.4% saved)

prune3.9s (26.1%)

Memory

26.0MiB live, 65.6MiB allocated

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	721	13	734
Fresh	2	0	2
Picked	1	4	5
Done	0	0	0
Total	724	17	741

Accuracy

100.0%

Counts

741 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(*.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))
▶	42.5%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	70.5%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
✓	53.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	34.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
	33.1%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
	17.7%	(.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))
✓	69.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	45.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
▶	42.3%	#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))
▶	28.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	52.9%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	39.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	42.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	33.4%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
▶	31.8%	#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 346 to 285 computations (17.6% saved)

simplify3.8s (25.5%)

Memory

-26.7MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(pow.f64 im #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
cost-diff	0	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
cost-diff	0	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
cost-diff	0	#s(approx (exp re) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
cost-diff	0	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))

Rules

220×	`lower-*.f32`
208×	`lower-*.f64`
188×	`lower-fma.f32`
180×	`lower-fma.f64`
64×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	272
0	51	272
1	76	272
2	97	272
3	130	272
4	174	272
5	188	272
6	194	272
7	227	272
8	227	272
9	233	272
10	233	272
0	233	264

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize118.0ms (0.8%)

Memory

14.1MiB live, 257.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.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)))
accuracy	0.0546875	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	20.868356057049517	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	29.473392762561136	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0	(pow.f64 im #s(literal 3 binary64))
accuracy	0.0546875	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	29.473392762561136	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	30.175728986691784	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
accuracy	0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	19.776857023516033	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy	20.868356057049517	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0078125	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	19.776857023516033	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	30.23063013407058	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.05078125	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
accuracy	0.1953125	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	18.18981560289987	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
accuracy	32.378428299865135	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

76.0ms

256×

valid

Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 19.0ms (32.8% of total)

ival-sin: 18.0ms (31.1% of total)

ival-add: 8.0ms (13.8% of total)

const: 7.0ms (12.1% of total)

ival-exp: 3.0ms (5.2% of total)

ival-pow: 3.0ms (5.2% of total)

exact: 1.0ms (1.7% of total)

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

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

series19.0ms (0.1%)

Memory

18.9MiB live, 57.6MiB allocated

Counts

18 → 300

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (+ (* 1/2 re) 1) (* (* re re) 1/6))
2.0ms	im	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (+ (* 1/2 re) 1) (* (* re re) 1/6))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (+ (* 1/2 re) 1) (* (* re re) 1/6))
1.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (+ (* 1/2 re) 1) (* (* re re) 1/6))
1.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (sin im) (+ (* (pow im 3) -1/6) im) (pow im 3) (* (exp re) (sin im)) (+ (* 1/2 re) 1) (* (* re re) 1/6))

simplify176.0ms (1.2%)

Memory

0.5MiB live, 224.5MiB allocated

Algorithm

1×	egg-herbie

Rules

19 726×	`lower-fma.f64`
19 726×	`lower-fma.f32`
5 502×	`lower-*.f64`
5 502×	`lower-*.f32`
2 518×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	1905
1	413	1818
2	1186	1776
3	4424	1746
4	7997	1746
0	8002	1594

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 296

Calls

Call 1

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

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

rewrite197.0ms (1.3%)

Memory

-1.5MiB live, 322.8MiB allocated

Rules

10 828×	`lower-fma.f32`
10 820×	`lower-fma.f64`
5 960×	`lower-*.f32`
5 948×	`lower-*.f64`
3 806×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	209
0	51	209
1	151	209
2	883	209
0	8375	201

Stop Event

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

Counts

18 → 277

Calls

Call 1

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

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

eval105.0ms (0.7%)

Memory: -13.2MiB live, 220.4MiB allocated
Compiler: Compiled 17 020 to 1 776 computations (89.6% saved)

prune31.0ms (0.2%)

Memory

16.7MiB live, 95.1MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	841	7	848
Fresh	2	6	8
Picked	4	1	5
Done	0	4	4
Total	847	18	865

Accuracy

100.0%

Counts

865 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(*.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))
	42.5%	(.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 (*.f64 #s(literal -1/6 binary64) im) im) im im)))
✓	53.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	34.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)))
▶	16.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
✓	69.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	45.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	17.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im))
	17.2%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im))
✓	28.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	52.9%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	39.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	42.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
▶	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	33.4%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
▶	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))

Compiler

Compiled 369 to 293 computations (20.6% saved)

simplify20.0ms (0.1%)

Memory

-18.2MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

640×	`lower-fma.f32`
624×	`lower-fma.f64`
384×	`lower-*.f32`
370×	`lower-*.f64`
164×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	298
0	65	302
1	106	292
2	145	292
3	230	292
4	373	292
5	470	292
6	489	292
7	495	292
8	495	292
0	495	286

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize119.0ms (0.8%)

Memory

4.7MiB live, 212.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	20.868356057049517	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re))))
accuracy	29.473392762561136	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	32.37187664240193	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))
accuracy	0	(*.f64 re im)
accuracy	0.078125	(fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)
accuracy	19.776857023516033	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
accuracy	21.104836253415257	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))
accuracy	0.109375	(.f64 (.f64 #s(literal -1/6 binary64) im) im)
accuracy	0.3359375	(*.f64 #s(literal -1/6 binary64) im)
accuracy	29.473392762561136	#s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im))
accuracy	30.175728986691784	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
accuracy	0	(fma.f64 re im im)
accuracy	19.776857023516033	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy	26.009905198132742	#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy	0.06640625	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.12890625	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	18.18981560289987	#s(approx (exp re) (fma.f64 (fma.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	19.776857023516033	#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))

Samples

95.0ms

256×

valid

Compiler

Compiled 161 to 38 computations (76.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 25.0ms (40.1% of total)

ival-add: 20.0ms (32.1% of total)

ival-sin: 6.0ms (9.6% of total)

const: 6.0ms (9.6% of total)

ival-pow: 3.0ms (4.8% of total)

ival-exp: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

14.1MiB live, 52.1MiB allocated

Counts

24 → 432

Calls

Call 1

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

Outputs
#s(alt (sin im) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (sin im))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im)))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt (+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im))))))) (taylor 0 re) (#s(alt #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) (patch #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)) #<representation binary64>) () ())) ())
#s(alt im (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))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* im re)) (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))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* 1/2 (* im re))))) (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))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt (+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 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))) im) (patch (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im) #<representation binary64>) () ())) ())
#s(alt 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>) () ())) ())
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#s(alt (* -1/6 im) (taylor -inf im) (#s(alt (.f64 #s(literal -1/6 binary64) im) (patch (.f64 #s(literal -1/6 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im))) (patch #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im))) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx ( (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx ( (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx ( (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ())
#s(alt (* im (exp re)) (taylor -inf im) (#s(alt #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im)) (patch #s(approx ( (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* re (- (* -1/2 re) 1)) 1))) (taylor -inf im) (#s(alt (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) (patch (fma.f64 (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1/2 re) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1/2 re) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1/2 re) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* im (- (* -1/2 re) 1))) (taylor -inf im) (#s(alt (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) (patch (fma.f64 (.f64 re im) #s(literal 1/2 binary64) im) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* (exp re) (sin im)) (taylor -inf im) (#s(alt (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) (patch (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im re) (taylor -inf im) (#s(alt (.f64 re im) (patch (.f64 re im) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (sin im) (taylor -inf im) (#s(alt #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) (patch #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) #<representation binary64>) () ())) ())
#s(alt (* -1/6 (pow im 3)) (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>) () ())) ())
#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
5.0ms	im	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (sin im) (* (* -1/6 im) im) (* -1/6 im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* 1/2 (* re re)) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* re im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	im	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (sin im) (* (* -1/6 im) im) (* -1/6 im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* 1/2 (* re re)) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* re im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (sin im) (* (* -1/6 im) im) (* -1/6 im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* 1/2 (* re re)) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* re im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	re	@	inf	((* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (sin im) (* (* -1/6 im) im) (* -1/6 im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* 1/2 (* re re)) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* re im) (sin im) (+ (* (pow im 3) -1/6) im))
2.0ms	im	@	0	((* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (exp re) (sin im)) (* (exp re) im) (+ (* re im) im) (* (exp re) (sin im)) (sin im) (* (* -1/6 im) im) (* -1/6 im) (* (exp re) (sin im)) (* (exp re) im) (+ (* (+ (* (* re im) 1/2) im) re) im) (+ (* (* re im) 1/2) im) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* 1/2 (* re re)) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* re im) (sin im) (+ (* (pow im 3) -1/6) im))

simplify172.0ms (1.2%)

Memory

-14.2MiB live, 259.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 150×	`lower-fma.f64`
13 150×	`lower-fma.f32`
3 900×	`lower-+.f64`
3 900×	`lower-+.f32`
3 896×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	172	2689
1	557	2604
2	1586	2555
3	3399	2538
4	7481	2536
0	8204	2301

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 423

Calls

Call 1

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

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

rewrite151.0ms (1%)

Memory

31.7MiB live, 261.6MiB allocated

Rules

5 268×	`lower-fma.f32`
5 252×	`lower-fma.f64`
4 934×	`lower-*.f32`
4 920×	`lower-*.f64`
4 424×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	267
0	65	269
1	221	263
2	1476	263
0	8188	257

Stop Event

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

Counts

24 → 320

Calls

Call 1

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

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

eval110.0ms (0.7%)

Memory: -22.4MiB live, 213.6MiB allocated
Compiler: Compiled 13 353 to 1 966 computations (85.3% saved)

prune44.0ms (0.3%)

Memory

-1.4MiB live, 120.0MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	731	12	743
Fresh	1	7	8
Picked	1	4	5
Done	0	5	5
Total	733	28	761

Accuracy

100.0%

Counts

761 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.4%	(*.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))
✓	53.8%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	34.6%	(.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (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)))
	16.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
	16.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)))
	10.1%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
✓	69.1%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
✓	45.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	45.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	45.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	45.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	44.4%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
	45.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #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))))) im))
	19.8%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))
	17.5%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im))
	17.2%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im))
✓	28.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	52.9%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
✓	39.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	42.8%	#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)))
	38.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
✓	31.9%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
	7.0%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
	33.4%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) im)))
	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
✓	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
	31.8%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))

Compiler

Compiled 853 to 447 computations (47.6% saved)

regimes68.0ms (0.5%)

Memory

22.4MiB live, 136.2MiB allocated

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	re
14.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
12.0ms	(exp.f64 re)
12.0ms	(sin.f64 im)
12.0ms	im

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes68.0ms (0.5%)

Memory

7.8MiB live, 164.4MiB 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 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re 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 (*.f64 #s(literal -1/6 binary64) im) im) im im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (/.f64 #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))))) im))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal -1/2 binary64))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (.f64 re re))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re)))) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) #s(approx (+ (* (pow im 3) -1/6) im) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (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)))
#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) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (*.f64 im im) #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (*.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im))

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

Calls

5 calls:

15.0ms	(sin.f64 im)
14.0ms	im
14.0ms	re
12.0ms	(exp.f64 re)
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
97.7%	4	`re`
86.4%	2	`im`
100.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
93.7%	3	`(exp.f64 re)`
87.4%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes19.0ms (0.1%)

Memory

-19.2MiB live, 37.2MiB allocated

Counts

37 → 5

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes28.0ms (0.2%)

Memory

-3.2MiB live, 74.1MiB allocated

Counts

36 → 5

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.9%	4	`re`
98.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes13.0ms (0.1%)

Memory

-7.6MiB live, 31.6MiB allocated

Counts

35 → 5

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
98.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

29 → 5

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
98.8%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory

-22.1MiB live, 21.9MiB allocated

Counts

26 → 5

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes118.0ms (0.8%)

Memory

5.8MiB live, 84.0MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

86.0ms	(sin.f64 im)
9.0ms	re
8.0ms	im
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
64.0%	3	`(sin.f64 im)`
63.9%	2	`im`
69.6%	2	`(exp.f64 re)`
69.6%	2	`re`
74.3%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes116.0ms (0.8%)

Memory

-11.0MiB live, 70.1MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

5 calls:

58.0ms	re
35.0ms	(sin.f64 im)
8.0ms	im
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
50.6%	2	`(sin.f64 im)`
45.0%	1	`im`
45.0%	1	`(exp.f64 re)`
45.0%	1	`re`
50.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes13.0ms (0.1%)

Memory

29.7MiB live, 29.7MiB 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 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 im re im)))))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)))
(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))

Outputs

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

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

Results

Accuracy	Segments	Branch
50.4%	2	`(sin.f64 im)`
50.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory

-8.1MiB live, 29.3MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.1%	2	`(sin.f64 im)`
49.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes14.0ms (0.1%)

Memory

-13.2MiB live, 24.3MiB 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 re im))))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 (.f64 im im) im) #s(literal -1/6 binary64) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* re im) 1/2) im) (.f64 (.f64 re im) #s(literal 1/2 binary64))) re im)))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))
#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
48.5%	2	`(sin.f64 im)`
48.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
48.8%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
46.5%	2	`(sin.f64 im)`
46.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes86.0ms (0.6%)

Memory

1.6MiB live, 38.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

70.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	(sin.f64 im)
4.0ms	im
4.0ms	re
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
43.2%	2	`(sin.f64 im)`
43.1%	2	`re`
42.4%	2	`(exp.f64 re)`
39.0%	1	`im`
46.2%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes68.0ms (0.5%)

Memory

-36.4MiB live, 10.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

63.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(sin.f64 im)
2.0ms	re

Results

Accuracy	Segments	Branch
42.4%	2	`re`
33.9%	2	`(sin.f64 im)`
42.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB 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 re im))))

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

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.9%	1	`(sin.f64 im)`
31.9%	1	`im`
31.9%	1	`(exp.f64 re)`
31.9%	1	`re`
31.9%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
31.9%	2	`im`
31.6%	2	`(exp.f64 re)`
31.4%	2	`(sin.f64 im)`
31.6%	2	`re`
31.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes33.0ms (0.2%)

Memory

-26.0MiB live, 13.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	re
1.0ms	(sin.f64 im)
1.0ms	im
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
7.0%	1	`(sin.f64 im)`
7.0%	1	`(exp.f64 re)`
7.0%	1	`re`
7.0%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
7.0%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	1.3011579168387242e-57	7.024723405185678e-57
0.0ms	-0.03476897165653998	0.0
0.0ms	-inf	-0.9996936647285651

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9983566799622421	+inf
0.0ms	-inf	-0.9996936647285651

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	6.43870638666046e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.43870638666046e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.43870638666046e-297

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	0.08616015049160351	0.2549147427633309

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	0.08616015049160351	0.2549147427633309

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.43870638666046e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.08616015049160351	0.2549147427633309

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	0.08616015049160351	0.2549147427633309

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9463090577365725	0.9523838434181758

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch18.0ms (0.1%)

Memory

-15.8MiB live, 20.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.174379995452821e+74	4.52343669921396e+76

Samples

13.0ms

112×

valid

Compiler

Compiled 85 to 108 computations (-27.1% saved)

Precisions

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

ival-sin: 8.0ms (79.6% of total)

ival-exp: 1.0ms (10% of total)

ival-mult: 1.0ms (10% of total)

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

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

simplify31.0ms (0.2%)

Memory

25.9MiB live, 61.7MiB 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	141	1223
1	167	1223

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)) #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)) (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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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) (+.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))) (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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (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))) (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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 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 (.f64 #s(literal -1/6 binary64) 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 (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 1049999999999999993170309671636083424645084915885305141972159718766566965248 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (.f64 im im) #s(literal -1/6 binary64)) (.f64 im im) #s(literal 1 binary64)) (exp.f64 re)) im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #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 (sin.f64 im) (exp.f64 re)) #s(literal 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (* (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #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))) (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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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))))))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #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 (sin.f64 im) (exp.f64 re)) #s(literal 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 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 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 7067388259113537/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx ( (exp re) (sin im)) (.f64 im (exp.f64 re))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 im (exp.f64 re)))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal -inf.0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) (if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 1 binary64)) #s(approx ( (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 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 (.f64 #s(literal -1/6 binary64) 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 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) im) im) im im)) #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (*.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 (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) (.f64 #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im)) #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))) #s(approx (* (exp re) (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)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) 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 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 #s(literal 1/6 binary64) (.f64 re re))) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 re re) re))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 #s(literal -1/6 binary64) im) im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 #s(literal 1/2 binary64) (.f64 re re)))) im)))
(if (<=.f64 (.f64 (sin.f64 im) (exp.f64 re)) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
(if (<=.f64 im #s(literal 1049999999999999993170309671636083424645084915885305141972159718766566965248 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im)))))
(if (<=.f64 im #s(literal 1049999999999999993170309671636083424645084915885305141972159718766566965248 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 re im))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness2.0s (13.6%)

Memory

-1.9MiB live, 1 241.6MiB allocated

Rules

19 726×	`lower-fma.f64`
19 726×	`lower-fma.f32`
18 716×	`lower-fma.f64`
18 716×	`lower-fma.f32`
15 566×	`lower-fma.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
0	172	2689
1	557	2604
2	1586	2555
3	3399	2538
4	7481	2536
0	8204	2301
0	42	267
0	65	269
1	221	263
2	1476	263
0	8188	257
0	34	209
0	51	209
1	151	209
2	883	209
0	8375	201
0	130	1905
1	413	1818
2	1186	1776
3	4424	1746
4	7997	1746
0	8002	1594
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×	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

Compiler

Compiled 1 279 to 626 computations (51.1% saved)

preprocess244.0ms (1.6%)

Memory: 9.5MiB live, 292.6MiB allocated
Remove: (negabs im)
Compiler: Compiled 1 642 to 284 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	34	272
0	51	272
1	76	272
2	97	272
3	130	272
4	174	272
5	188	272
6	194	272
7	227	272
8	227	272
9	233	272
10	233	272
0	233	264

Iter	Nodes	Cost
0	42	298
0	65	302
1	106	292
2	145	292
3	230	292
4	373	292
5	470	292
6	489	292
7	495	292
8	495	292
0	495	286

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	34	272
0	51	272
1	76	272
2	97	272
3	130	272
4	174	272
5	188	272
6	194	272
7	227	272
8	227	272
9	233	272
10	233	272
0	233	264

Iter	Nodes	Cost
0	42	298
0	65	302
1	106	292
2	145	292
3	230	292
4	373	292
5	470	292
6	489	292
7	495	292
8	495	292
0	495	286

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (8.5%)

explain62.0ms (0.4%)

preprocess27.0ms (0.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize24.0ms (0.2%)

series4.0ms (0%)

simplify172.0ms (1.2%)

rewrite14.0ms (0.1%)

eval5.0ms (0%)

prune7.0ms (0%)

simplify13.0ms (0.1%)

localize63.0ms (0.4%)

series16.0ms (0.1%)

simplify341.0ms (2.3%)

rewrite429.0ms (2.9%)

eval426.0ms (2.9%)

prune3.9s (26.1%)

simplify3.8s (25.5%)

localize118.0ms (0.8%)

series19.0ms (0.1%)

simplify176.0ms (1.2%)

rewrite197.0ms (1.3%)

eval105.0ms (0.7%)

prune31.0ms (0.2%)

simplify20.0ms (0.1%)

localize119.0ms (0.8%)

series28.0ms (0.2%)

simplify172.0ms (1.2%)

rewrite151.0ms (1%)

eval110.0ms (0.7%)

prune44.0ms (0.3%)

regimes68.0ms (0.5%)

regimes68.0ms (0.5%)

regimes19.0ms (0.1%)

regimes28.0ms (0.2%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes118.0ms (0.8%)

regimes116.0ms (0.8%)

regimes13.0ms (0.1%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes86.0ms (0.6%)

regimes4.0ms (0%)

regimes68.0ms (0.5%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes33.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.1%)

simplify31.0ms (0.2%)

soundness2.0s (13.6%)

preprocess244.0ms (1.6%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	34	272
0	51	272
1	76	272
2	97	272
3	130	272
4	174	272
5	188	272
6	194	272
7	227	272
8	227	272
9	233	272
10	233	272
0	233	264

Iter	Nodes	Cost
0	42	298
0	65	302
1	106	292
2	145	292
3	230	292
4	373	292
5	470	292
6	489	292
7	495	292
8	495	292
0	495	286