Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB 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)

sample860.0ms (11.6%)

Memory

-4.3MiB live, 986.2MiB allocated

Samples

593.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 359.0ms

ival-sin: 237.0ms (66% of total)

ival-exp: 63.0ms (17.5% of total)

ival-mult: 50.0ms (13.9% of total)

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

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

Bogosity

explain91.0ms (1.2%)

Memory

-23.4MiB live, 102.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 11.0ms (47.8% of total)

ival-exp: 8.0ms (34.7% of total)

ival-mult: 3.0ms (13% of total)

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

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

preprocess146.0ms (2%)

Memory

-3.4MiB live, 219.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	115	27
3	402	27
4	1608	27
0	5	5
0	8	5
1	12	5
2	26	5
3	67	5
4	278	5
5	2237	5
0	9072	5

Stop Event

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

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify191.0ms (2.6%)

Memory

-5.0MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	8	11
1	12	11
2	26	11
3	67	11
4	278	11
5	2237	11
0	9072	11

Stop Event

1×	iter limit
1×	node limit
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

localize20.0ms (0.3%)

Memory

14.1MiB live, 14.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 im)
accuracy	0.0	(exp.f64 re)
accuracy	0.02734375	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

15.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-sin: 6.0ms (64% of total)

ival-exp: 2.0ms (21.3% of total)

ival-mult: 1.0ms (10.7% of total)

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

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

series3.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 18

Calls

Call 1

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

Outputs
(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)
(* 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))))

Calls

6 calls:

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

simplify252.0ms (3.4%)

Memory

-11.2MiB live, 135.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	192
1	274	181
2	1040	169
3	4901	163
0	8290	143

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

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)
(* 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))))

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

rewrite238.0ms (3.2%)

Memory

24.1MiB live, 158.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	12	9
2	40	9
3	293	9
4	4290	9
0	8881	9

Stop Event

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

Counts

3 → 135

Calls

Call 1

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

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

eval85.0ms (1.1%)

Memory: -45.2MiB live, 17.9MiB allocated
Compiler: Compiled 3 240 to 506 computations (84.4% saved)

prune7.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	144	8	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	9	153

Accuracy

100.0%

Counts

153 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
▶	79.6%	(*.f64 (-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	72.5%	(*.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))
	70.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	57.5%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	57.5%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
	69.3%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	56.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 185 to 149 computations (19.5% saved)

simplify124.0ms (1.7%)

Memory

12.6MiB live, 199.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
cost-diff	1	(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
cost-diff	10	(-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
cost-diff	0	(sin.f64 im)
cost-diff	0	(+.f64 #s(literal 1 binary64) re)
cost-diff	0	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
cost-diff	0	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
cost-diff	0	(sin.f64 im)
cost-diff	0	#s(approx (* (exp re) (sin im)) (sin.f64 im))
cost-diff	0	(neg.f64 re)
cost-diff	0	(exp.f64 (neg.f64 re))
cost-diff	0	(sin.f64 im)
cost-diff	1	(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	50	144
1	76	144
2	154	142
3	512	141
4	2635	141
0	9012	141

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (2%)

Memory

-18.5MiB live, 210.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cosh.f64 re)
accuracy	0.0234375	(+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
accuracy	0.02734375	(-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
accuracy	0.02734375	(*.f64 (-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
accuracy	0.0	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	0.0	(sin.f64 im)
accuracy	0.02734375	(*.f64 #s(approx (exp re) (fma.f64 (fma.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))
accuracy	0.04654640382357724	#s(approx (exp re) (fma.f64 (fma.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	0.0	(+.f64 #s(literal 1 binary64) re)
accuracy	0.0	(sin.f64 im)
accuracy	0.02734375	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	0.4157369328603837	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(sin.f64 im)
accuracy	1.1180874645668435	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.0	(sin.f64 im)
accuracy	0.0	(neg.f64 re)
accuracy	0.0	(exp.f64 (neg.f64 re))
accuracy	0.01171875	(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))

Samples

92.0ms	145×	0	valid
14.0ms	52×	1	exit
12.0ms	59×	0	exit

Compiler

Compiled 140 to 27 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-sin: 48.0ms (53.2% of total)

ival-div: 14.0ms (15.5% of total)

ival-mult: 7.0ms (7.8% of total)

ival-add: 6.0ms (6.6% of total)

const: 4.0ms (4.4% of total)

adjust: 3.0ms (3.3% of total)

ival-exp: 3.0ms (3.3% of total)

ival-cosh: 3.0ms (3.3% of total)

ival-sub: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

45.5MiB live, 45.5MiB allocated

Counts

18 → 71

Calls

Call 1

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (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 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
3/2
(+ 3/2 (* 1/2 re))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(exp re)
re
(* re (+ 1 (/ 1 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)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(* 1/2 (exp (neg re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(* 1/2 (exp (* -1 re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	re	@	inf	((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (+ (cosh re) (/ (exp re) 2)) (+ (* 1/6 re) 1/2) (cosh re))
3.0ms	re	@	-inf	((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (+ (cosh re) (/ (exp re) 2)) (+ (* 1/6 re) 1/2) (cosh re))
2.0ms	re	@	0	((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (+ (cosh re) (/ (exp re) 2)) (+ (* 1/6 re) 1/2) (cosh re))
2.0ms	im	@	inf	((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (+ (cosh re) (/ (exp re) 2)) (+ (* 1/6 re) 1/2) (cosh re))
2.0ms	im	@	-inf	((/ (sin im) (exp (neg re))) (sin im) (exp (neg re)) (neg re) (* (exp re) (sin im)) (* (exp re) (sin im)) (exp re) (+ 1 re) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (+ (cosh re) (/ (exp re) 2)) (+ (* 1/6 re) 1/2) (cosh re))

simplify180.0ms (2.4%)

Memory

8.7MiB live, 283.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	926
1	848	799
2	3257	666
0	8136	585

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 69

Calls

Call 1

Inputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
1
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(* -1 re)
(+ (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 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
1/2
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
3/2
(+ 3/2 (* 1/2 re))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(+ 1/2 (* 1/6 re))
(+ 1 (* 1/2 (pow re 2)))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(/ (sin im) (exp (neg re)))
(exp (neg re))
(* (exp re) (sin im))
(exp re)
re
(* re (+ 1 (/ 1 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)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(* 1/2 (exp (neg re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(/ (sin im) (exp (* -1 re)))
(exp (* -1 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(* 1/2 (exp (* -1 re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
im
(* im (+ 1 (* -1/6 (pow im 2))))
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(* im (+ 1 (* (pow im 2) (- (* (pow im 2) (+ 1/120 (* -1/5040 (pow im 2)))) 1/6))))
(* im (exp re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (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 (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 re) (.f64 #s(literal -1/6 binary64) (sin.f64 im)) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.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 re)
(neg.f64 re)
(+ (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 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 (* 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 re))
(fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) re #s(literal 1/2 binary64))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) re #s(literal 1/4 binary64)) re) #s(literal 1/2 binary64)) re #s(literal 1/2 binary64))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 3/2 binary64))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(fma.f64 (fma.f64 #s(literal 3/4 binary64) re #s(literal 1/2 binary64)) re #s(literal 3/2 binary64))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal 3/4 binary64)) re #s(literal 1/2 binary64)) re #s(literal 3/2 binary64))
(+ 1/2 (* 1/6 re))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(+ 1 (* 1/2 (pow re 2)))
(fma.f64 (*.f64 re re) #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* 1/24 (pow re 2)))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 re re) #s(literal 1/2 binary64)) (.f64 re re) #s(literal 1 binary64))
(+ 1 (* (pow re 2) (+ 1/2 (* (pow re 2) (+ 1/24 (* 1/720 (pow re 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 re re) #s(literal 1/24 binary64)) (.f64 re re) #s(literal 1/2 binary64)) (*.f64 re re) #s(literal 1 binary64))
(/ (sin im) (exp (neg re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* (exp re) (sin im))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp re)
(exp.f64 re)
re
(* re (+ 1 (/ 1 re)))
(-.f64 re #s(literal -1 binary64))
(* 1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 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))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
(* 1/2 (exp (neg re)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 re))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(*.f64 (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) (sin.f64 im))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(fma.f64 (exp.f64 re) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))
(* 1/6 re)
(*.f64 #s(literal 1/6 binary64) re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
(* 1/2 (+ (exp re) (/ 1 (exp re))))
(*.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64))
(/ (sin im) (exp (* -1 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) re) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal -1 binary64) #s(literal -1/2 binary64)) re) #s(literal 1/6 binary64)))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
(* 1/2 (exp (* -1 re)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 re))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(*.f64 (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) (sin.f64 im))
(/ im (exp (neg re)))
(*.f64 (exp.f64 re) im)
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
im
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.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 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 im im)) #s(literal 1/6 binary64))) im)
(* im (exp re))
(*.f64 (exp.f64 re) im)
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(*.f64 (exp.f64 re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* 1/120 (* (pow im 2) (exp re)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))) im)
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(*.f64 (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) im)
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(.f64 (fma.f64 (.f64 (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 im im) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))) im)

rewrite258.0ms (3.5%)

Memory

-19.2MiB live, 301.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	132
0	50	132
1	156	110
2	1127	110
0	8255	110

Stop Event

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

Counts

18 → 400

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (sin.f64 im) #s(literal 1 binary64)) (exp.f64 re))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 im)))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 im))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(/.f64 (neg.f64 (sin.f64 im)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 im)) (exp.f64 (neg.f64 re))))
(neg.f64 (/.f64 (sin.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re))))
(sin.f64 im)
(pow.f64 (exp.f64 re) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (pow.f64 (cosh.f64 re) #s(literal 3 binary64))) (fma.f64 (sinh.f64 re) (sinh.f64 re) (-.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)) (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 re) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) (cosh.f64 re)) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal -2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal -2 binary64) (cosh.f64 re)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))) (.f64 #s(literal -2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal -3 binary64))) #s(literal 8 binary64)))) (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))))) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 re)))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -4 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (exp.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))))) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (-.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) (pow.f64 (exp.f64 re) #s(literal -2 binary64))) #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (cosh.f64 re)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (exp.f64 re) #s(literal 3 binary64)) (pow.f64 (exp.f64 re) #s(literal -3 binary64))) #s(literal 8 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 re)))))) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 re) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))))) #s(literal -8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (.f64 (exp.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))))) #s(literal 8 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 re))))) #s(literal 4 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) (-.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 re)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (*.f64 (cosh.f64 re) (sinh.f64 re)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (*.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 re))))
(/.f64 #s(literal 1 binary64) (exp.f64 re))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 2 binary64)) (exp.f64 re)) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (exp.f64 re)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (.f64 (cosh.f64 re) (sinh.f64 re))))) (/.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (fma.f64 (sinh.f64 re) (sinh.f64 re) (.f64 (cosh.f64 re) (sinh.f64 re))))))
(-.f64 (cosh.f64 re) (sinh.f64 re))
(exp.f64 (*.f64 re #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 re)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 re))
(+.f64 (/.f64 (pow.f64 (cosh.f64 re) #s(literal 3 binary64)) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))) (/.f64 (neg.f64 (pow.f64 (sinh.f64 re) #s(literal 3 binary64))) (fma.f64 (cosh.f64 re) (cosh.f64 re) (-.f64 (pow.f64 (sinh.f64 re) #s(literal 2 binary64)) (.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))))))
(+.f64 (sinh.f64 (neg.f64 re)) (cosh.f64 re))
(+.f64 (cosh.f64 re) (sinh.f64 (neg.f64 re)))
(neg.f64 re)
#s(approx (* (exp re) (sin im)) (sin.f64 im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
(*.f64 (sin.f64 im) #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)))
#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))) (.f64 (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64))) (neg.f64 (-.f64 re #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) re)) (.f64 (-.f64 #s(literal 1 binary64) re) (.f64 re re))) (.f64 (-.f64 #s(literal 1 binary64) re) (-.f64 #s(literal 1 binary64) re)))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 re #s(literal 3 binary64)))) (.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 re re) #s(literal 1 binary64)) (-.f64 re #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re))) (neg.f64 (-.f64 #s(literal 1 binary64) re)))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)) (-.f64 #s(literal 1 binary64) re))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) re #s(literal 1 binary64))
(fma.f64 re #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 re re) (-.f64 re #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 re re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re re (-.f64 #s(literal 1 binary64) re))))
(+.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 re #s(literal 3 binary64)) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) re) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 re) re) (-.f64 #s(literal 1 binary64) re)))
(+.f64 #s(literal 1 binary64) re)
(+.f64 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))
(*.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)))
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(/.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 re #s(literal 1/12 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.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 (fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) #s(literal 1/8 binary64))) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64)))) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (.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 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (.f64 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 re #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.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 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (.f64 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 re #s(literal 1/12 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 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) re))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 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))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 re) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 2 binary64)) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) re) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (.f64 re #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 re re) (-.f64 #s(literal 1/4 binary64) (*.f64 re #s(literal 1/12 binary64))))))
(+.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))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (exp.f64 re))) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 re) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 (exp.f64 re)) (/.f64 #s(literal -1 binary64) (exp.f64 re))) #s(literal -2 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 (exp.f64 re))) (exp.f64 (neg.f64 re))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (exp.f64 re))) (.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (neg.f64 (exp.f64 re))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 re)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (neg.f64 (exp.f64 re)) (.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (neg.f64 (exp.f64 re)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 re)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (exp.f64 re) (.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (exp.f64 re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (exp.f64 re) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 re)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 re)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 re))))
(cosh.f64 (neg.f64 (neg.f64 re)))
(cosh.f64 (neg.f64 re))
(cosh.f64 re)
(-.f64 (/.f64 (+.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (+.f64 (exp.f64 re) (cosh.f64 re)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (+.f64 (sinh.f64 re) (exp.f64 (neg.f64 re))) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (exp.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 re) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))

eval67.0ms (0.9%)

Memory: 16.5MiB live, 162.4MiB allocated
Compiler: Compiled 15 385 to 2 223 computations (85.6% saved)

prune27.0ms (0.4%)

Memory

-11.5MiB live, 35.1MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	518	8	526
Fresh	2	1	3
Picked	2	3	5
Done	1	0	1
Total	523	12	535

Accuracy

100.0%

Counts

535 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
▶	73.4%	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
	69.5%	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
▶	61.4%	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
	55.9%	(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
▶	70.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	57.5%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	33.7%	(*.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)))
▶	69.3%	#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
▶	58.0%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
✓	56.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	32.7%	#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 317 to 255 computations (19.6% saved)

simplify124.0ms (1.7%)

Memory

17.4MiB live, 201.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	231
0	67	219
1	118	219
2	328	207
3	1567	207
0	8501	207

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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)
im
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(sin.f64 im)
im
#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) re)
#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))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
(exp.f64 re)
re
#s(literal 0 binary64)

Outputs
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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)
im
#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64))
#s(literal -1/6 binary64)
re
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
re
im
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(sin.f64 im)
im
#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
(-.f64 #s(literal 1 binary64) re)
#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))
#s(literal 1/2 binary64)
re
#s(literal 1 binary64)
(sin.f64 im)
im
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) im) (exp.f64 re))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
(exp.f64 re)
(exp.f64 re)
re
#s(literal 0 binary64)

localize171.0ms (2.3%)

Memory

10.4MiB live, 265.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 re)
accuracy	0.046875	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.05078125	(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
accuracy	17.08699375002316	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0	(sin.f64 im)
accuracy	0.02734375	(*.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	0.16301330782160497	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal 1 binary64) re)
accuracy	0.0	(sin.f64 im)
accuracy	0.01171875	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
accuracy	0.43896241785914697	#s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re))
accuracy	0.0	(exp.f64 re)
accuracy	0.0234375	(*.f64 (exp.f64 re) im)
accuracy	16.8616423732765	#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
accuracy	0.0	(sin.f64 im)
accuracy	0.01171875	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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	0.02734375	(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
accuracy	0.05429731274600569	#s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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

68.0ms	52×	1	exit
66.0ms	145×	0	valid
16.0ms	59×	0	exit

Compiler

Compiled 179 to 40 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 62.0ms (59.1% of total)

ival-sin: 10.0ms (9.5% of total)

ival-add: 8.0ms (7.6% of total)

ival-div: 5.0ms (4.8% of total)

adjust: 4.0ms (3.8% of total)

ival-exp: 4.0ms (3.8% of total)

ival-cosh: 4.0ms (3.8% of total)

const: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series22.0ms (0.3%)

Memory

-9.1MiB live, 42.2MiB allocated

Counts

20 → 76

Calls

Call 1

Inputs
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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 (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
#s(approx (exp (neg 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 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))

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

Calls

6 calls:

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

simplify228.0ms (3.1%)

Memory

16.5MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1135
1	983	963
2	4355	822
0	8616	746

Stop Event

1×	iter limit
1×	node limit

Counts

76 → 75

Calls

Call 1

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

Outputs
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (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 (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 im)) (neg.f64 re) (.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
1
#s(literal 1 binary64)
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.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 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) (* 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 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im))
(+ 1 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))
(*.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)) re (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/6 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (.f64 (.f64 (*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2))))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) re (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))))))))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
(* 1/2 re)
(*.f64 #s(literal 1/2 binary64) re)
(* re (+ 1/2 (* -1/6 re)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(/ (sin im) (exp (neg re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* -1/6 (pow re 3))
(*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow re 3) (- (* 1/2 (/ 1 re)) 1/6))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (* 1/2 (/ 1 re)) (+ 1/6 (/ 1 (pow re 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (- (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 3))) (+ 1/6 (/ 1 (pow re 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* im (exp re))
(*.f64 (exp.f64 re) im)
(exp re)
(exp.f64 re)
(* -1 re)
(neg.f64 re)
(* re (- (/ 1 re) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re)
(* (exp re) (sin im))
(*.f64 (exp.f64 re) (sin.f64 im))
(* 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))
(* re (+ 1/2 (/ 1 re)))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(*.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) (sin.f64 im))
(* im (* (exp re) (+ 1 (* -1/6 (pow im 2)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* (exp re) (+ 1 (* -1/6 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(* -1/6 (pow re 2))
(.f64 (.f64 re re) #s(literal -1/6 binary64))
(* (pow re 2) (- (* 1/2 (/ 1 re)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/6 binary64)) re) re)
(/ (sin im) (exp (* -1 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* -1 (* (pow re 3) (- 1/6 (* 1/2 (/ 1 re)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 re)) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* (pow re 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 re)) re))) re)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re)) re) #s(literal -1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* -1 (* re (- 1 (/ 1 re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (neg.f64 re))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(*.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) (sin.f64 im))
(/ im (exp (neg re)))
(*.f64 (exp.f64 re) im)
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))) im)
(* im (+ 1 (* (pow im 2) (- (* 1/120 (pow im 2)) 1/6))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (-.f64 (.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)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64)) im) im) #s(literal 1/6 binary64)) im)
(* 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)))))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 (exp.f64 re) im))
(* im (+ (exp re) (* (pow im 2) (+ (* -1/6 (exp re)) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (exp re))) (* 1/120 (exp re))))))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (exp.f64 re) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))) im)
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(*.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) im)
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 re) #s(literal 0 binary64))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(.f64 (+.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 (.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))
(.f64 (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (+.f64 (exp.f64 re) #s(literal 0 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (+.f64 (exp.f64 re) #s(literal 0 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 im im) #s(literal 1/120 binary64))))) im)
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(* -1/6 (* (pow im 3) (exp re)))
(.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (exp.f64 re))
(* (pow im 3) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (/.f64 (/.f64 (exp.f64 re) im) im)) (pow.f64 im #s(literal 3 binary64)))
(* -1/6 (* (pow im 2) (exp re)))
(.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))
(* (pow im 2) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (/.f64 (/.f64 (exp.f64 re) im) im)) (.f64 im im))
(* -1/6 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)
(* -1 (* (pow im 3) (+ (* -1 (/ (exp re) (pow im 2))) (* 1/6 (exp re)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (/.f64 (/.f64 (exp.f64 re) im) im)) (pow.f64 im #s(literal 3 binary64)))

rewrite197.0ms (2.6%)

Memory

-22.7MiB live, 249.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	191
0	67	179
1	254	168
2	2026	168
0	8131	168

Stop Event

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

Counts

20 → 901

Calls

Call 1

Inputs
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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 (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
(*.f64 (exp.f64 re) im)
(exp.f64 re)
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
#s(approx (exp (neg 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 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re)
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))

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

eval347.0ms (4.7%)

Memory: -1.0MiB live, 430.0MiB allocated
Compiler: Compiled 34 083 to 3 925 computations (88.5% saved)

prune29.0ms (0.4%)

Memory

11.7MiB live, 114.3MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	964	12	976
Fresh	3	1	4
Picked	2	3	5
Done	1	2	3
Total	970	18	988

Accuracy

100.0%

Counts

988 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.4%	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
▶	55.9%	(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
✓	70.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	57.5%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	49.0%	#s(approx (/ (sin im) (exp (neg re))) (fma.f64 (cosh.f64 re) im (*.f64 (sinh.f64 re) im)))
✓	69.3%	#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
	44.5%	#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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))
▶	42.8%	#s(approx (/ (sin im) (exp (neg 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))) im))
	39.2%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	43.1%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
▶	35.9%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
	40.1%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
	38.8%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
▶	40.1%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
	32.7%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
▶	33.7%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
	26.8%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
✓	56.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 853 to 601 computations (29.5% saved)

simplify166.0ms (2.2%)

Memory

-3.3MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
cost-diff	0	(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
cost-diff	0	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
cost-diff	7	(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
cost-diff	0	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))
cost-diff	0	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
cost-diff	0	#s(approx (/ (sin im) (exp (neg 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))) 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 (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
cost-diff	0	#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
cost-diff	0	(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
cost-diff	1	(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	488
0	85	464
1	161	464
2	496	416
3	2719	413
0	8295	406

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(literal 2 binary64)
(sin.f64 im)
im
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg 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))) 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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (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))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

Outputs
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(*.f64 (sin.f64 im) (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re))))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 re)))
#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (exp.f64 re))
(exp.f64 (neg.f64 re))
(neg.f64 re)
re
#s(literal 2 binary64)
(sin.f64 im)
im
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg 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))) 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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64)))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64)))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (-.f64 re #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re (+.f64 #s(literal 1 binary64) re)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re (+.f64 #s(literal 1 binary64) re)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re (+.f64 #s(literal 1 binary64) re)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re (+.f64 #s(literal 1 binary64) re)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 im im)
im
#s(literal -1/6 binary64)
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
(.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal -1 binary64)) re) re) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 im im) #s(literal -1 binary64)) re) (fma.f64 #s(literal -1/6 binary64) re #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #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)) (fma.f64 #s(literal 1/6 binary64) (.f64 im im) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize148.0ms (2%)

Memory

12.1MiB live, 258.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
accuracy	2.1528103954593325	(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)
accuracy	2.60666213854906	(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
accuracy	17.08699375002316	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
accuracy	0.046875	(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.05078125	(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
accuracy	0.3624972585631977	#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	17.08699375002316	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	0.16301330782160497	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	16.8616423732765	#s(approx (/ (sin im) (exp (neg 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))) im))
accuracy	0.0	(fma.f64 re im im)
accuracy	0.4285684993530079	#s(approx (* (exp re) im) (fma.f64 re im im))
accuracy	16.8616423732765	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
accuracy	0.0	(exp.f64 (neg.f64 re))
accuracy	0.02734375	(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
accuracy	0.02734375	(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
accuracy	1.0440063273875382	#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))

Samples

54.0ms	145×	0	valid
37.0ms	59×	0	exit
27.0ms	52×	1	exit

Compiler

Compiled 319 to 44 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 31.0ms (32% of total)

ival-div: 19.0ms (19.6% of total)

ival-add: 12.0ms (12.4% of total)

adjust: 8.0ms (8.2% of total)

ival-cosh: 7.0ms (7.2% of total)

ival-sin: 6.0ms (6.2% of total)

const: 6.0ms (6.2% of total)

ival-exp: 3.0ms (3.1% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series33.0ms (0.4%)

Memory

15.0MiB live, 60.9MiB allocated

Counts

24 → 107

Calls

Call 1

Inputs
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg 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))) 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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
(exp.f64 (neg.f64 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)

Outputs
1/2
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
3/2
(+ 3/2 (* 1/2 re))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (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 (+ 1 (* -1/6 (pow im 2))))
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/6 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2))))))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))))))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ 1 (* 1/2 re))
(* 1/2 (* re (+ 1 (* -1/6 (pow im 2)))))
(* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 2) (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(* 1/2 (exp (neg re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(/ (sin im) (exp (neg re)))
(* im (exp re))
(* im re)
(* re (+ im (/ im 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)))))
(* im (* (exp re) (+ 1 (* -1/6 (pow im 2)))))
(* (exp re) (+ 1 (* -1/6 (pow im 2))))
(* re (+ 1 (* -1/6 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (pow im 2)) (/ 1 re)))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (/ 1 (pow re 2))))))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(exp (neg re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 2) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(* 1/2 (exp (* -1 re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(/ (sin im) (exp (* -1 re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2))))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(exp (* -1 re))
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ 1 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re)))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* re (+ 1/2 (* 1/6 re)))
(+ (* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re))))) (* re (+ 1/2 (* 1/6 re))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(+ (* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* -1/6 (* (pow im 3) (exp re)))
(* (pow im 3) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(* -1/6 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(* -1/6 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (+ (/ re (pow im 2)) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2)))))))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re)))))
(* (pow im 2) (+ (* -1/6 (* re (+ 1/2 (* 1/6 re)))) (/ (* re (+ 1/2 (* 1/6 re))) (pow im 2))))
(* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* (pow im 3) (+ (* -1 (/ (exp re) (pow im 2))) (* 1/6 (exp re)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	re	@	-inf	((/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (+ (cosh re) (/ (exp re) 2)) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (exp (neg re)) (+ (* 1/2 re) 1) (+ (* (* im im) -1/6) 1) (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re))
4.0ms	re	@	inf	((/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (+ (cosh re) (/ (exp re) 2)) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (exp (neg re)) (+ (* 1/2 re) 1) (+ (* (* im im) -1/6) 1) (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re))
4.0ms	im	@	inf	((/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (+ (cosh re) (/ (exp re) 2)) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (exp (neg re)) (+ (* 1/2 re) 1) (+ (* (* im im) -1/6) 1) (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re))
3.0ms	im	@	-inf	((/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (+ (cosh re) (/ (exp re) 2)) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (exp (neg re)) (+ (* 1/2 re) 1) (+ (* (* im im) -1/6) 1) (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re))
3.0ms	im	@	0	((/ (exp (neg re)) 2) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (+ (cosh re) (/ (exp re) 2)) (/ (sin im) (exp (neg re))) (* (exp re) im) (+ (* re im) im) (/ (sin im) (exp (neg re))) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (exp (neg re)) (+ (* 1/2 re) 1) (+ (* (* im im) -1/6) 1) (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re))

simplify222.0ms (3%)

Memory

-36.5MiB live, 248.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	1743
1	1305	1501
2	6080	1495
0	8125	1343

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

Calls

Call 1

Inputs
1/2
(+ 1/2 (* -1/2 re))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
3/2
(+ 3/2 (* 1/2 re))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (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 (+ 1 (* -1/6 (pow im 2))))
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/6 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))))))
(+ 1 (* -1/6 (pow im 2)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2))))))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))))))))
(+ 1 (* -1 re))
(+ 1 (* re (- (* 1/2 re) 1)))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(+ 1 (* 1/2 re))
(* 1/2 (* re (+ 1 (* -1/6 (pow im 2)))))
(* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 2) (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(* 1/2 (exp (neg re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(/ (sin im) (exp (neg re)))
(* im (exp re))
(* im re)
(* re (+ im (/ im 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)))))
(* im (* (exp re) (+ 1 (* -1/6 (pow im 2)))))
(* (exp re) (+ 1 (* -1/6 (pow im 2))))
(* re (+ 1 (* -1/6 (pow im 2))))
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (pow im 2)) (/ 1 re)))))
(* 1/6 (* (pow re 3) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (/ 1 (pow re 2))))))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(exp (neg re))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(* (pow re 2) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(* 1/2 (exp (* -1 re)))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(/ (sin im) (exp (* -1 re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(* -1 (* re (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re)))))
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2))))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(exp (* -1 re))
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))
(/ im (exp (neg re)))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(* im (+ 1 re))
(* im (+ (exp re) (* -1/6 (* (pow im 2) (exp re)))))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))
(+ 1 (+ re (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(+ 1 (+ re (+ (* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re)))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(* re (+ 1/2 (* 1/6 re)))
(+ (* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re))))) (* re (+ 1/2 (* 1/6 re))))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(+ (* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))
(* -1/6 (* (pow im 3) (exp re)))
(* (pow im 3) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(* -1/6 (* (pow im 2) (exp re)))
(* (pow im 2) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(* -1/6 (* (pow im 2) (+ 1 re)))
(* (pow im 2) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (+ (/ re (pow im 2)) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2)))))))
(* -1/6 (pow im 2))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re)))))
(* (pow im 2) (+ (* -1/6 (* re (+ 1/2 (* 1/6 re)))) (/ (* re (+ 1/2 (* 1/6 re))) (pow im 2))))
(* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2))))
(* -1 (* im (- (* -1 re) 1)))
(* -1 (* (pow im 3) (+ (* -1 (/ (exp re) (pow im 2))) (* 1/6 (exp re)))))

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 re))
(fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64))
(+ 1/2 (* re (- (* 1/4 re) 1/2)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64)) re #s(literal 1/2 binary64))
(+ 1/2 (* re (- (* re (+ 1/4 (* -1/12 re))) 1/2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/12 binary64) re #s(literal 1/4 binary64)) re) #s(literal 1/2 binary64)) re #s(literal 1/2 binary64))
(sin im)
(sin.f64 im)
(+ (sin im) (* re (sin im)))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
(fma.f64 (fma.f64 (*.f64 (sin.f64 im) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (sin.f64 im)) re (sin.f64 im))
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))
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 3/2 binary64))
(+ 3/2 (* re (+ 1/2 (* 3/4 re))))
(fma.f64 (fma.f64 #s(literal 3/4 binary64) re #s(literal 1/2 binary64)) re #s(literal 3/2 binary64))
(+ 3/2 (* re (+ 1/2 (* re (+ 3/4 (* 1/12 re))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) re #s(literal 3/4 binary64)) re #s(literal 1/2 binary64)) re #s(literal 3/2 binary64))
(+ (sin im) (* re (- (* -1 (* re (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (sin.f64 im)) re (sin.f64 im))
(+ (sin im) (* re (- (* re (- (* -1 (* re (+ (sin im) (+ (* -1 (sin im)) (* -1/6 (sin im)))))) (+ (* -1 (sin im)) (* 1/2 (sin im))))) (* -1 (sin im)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -7/6 binary64) (sin.f64 im) (sin.f64 im)) (neg.f64 re) (*.f64 #s(literal 1/2 binary64) (sin.f64 im))) re (sin.f64 im)) re (sin.f64 im))
im
(+ im (* im re))
(fma.f64 im re im)
(+ im (* re (+ im (* 1/2 (* im re)))))
(fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 im re) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) im)) re im) re im)
(* im (+ 1 (* -1/6 (pow im 2))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
(+ (* im (* re (+ 1 (* -1/6 (pow im 2))))) (* im (+ 1 (* -1/6 (pow im 2)))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/2 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* im (+ 1 (* -1/6 (pow im 2)))))))
(fma.f64 (.f64 re (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) re)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im)))
(+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* im (+ 1 (* -1/6 (pow im 2)))) (* re (+ (* 1/6 (* im (* re (+ 1 (* -1/6 (pow im 2)))))) (* 1/2 (* im (+ 1 (* -1/6 (pow im 2))))))))))
(fma.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im) (.f64 (.f64 re re) (fma.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) im (.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) re) #s(literal 1/6 binary64)))))
(+ 1 (* -1/6 (pow im 2)))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (* -1/6 (pow im 2))))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* 1/2 (* re (+ 1 (* -1/6 (pow im 2))))))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) re (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* -1/6 (pow im 2)) (* re (+ 1 (+ (* -1/6 (pow im 2)) (* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2)))))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) re (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(+ 1 (* -1 re))
(-.f64 #s(literal 1 binary64) re)
(+ 1 (* re (- (* 1/2 re) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))
(+ 1 (* re (- (* re (+ 1/2 (* -1/6 re))) 1)))
(fma.f64 (-.f64 (*.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 (* 1/2 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(* 1/2 (* re (+ 1 (* -1/6 (pow im 2)))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)
(* re (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(* 1/2 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(.f64 (.f64 re re) (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)))
(* (pow re 2) (+ (* 1/6 (* re (+ 1 (* -1/6 (pow im 2))))) (* 1/2 (+ 1 (* -1/6 (pow im 2))))))
(.f64 (.f64 re re) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))
(* 1/2 (exp (neg re)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 re))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) (sin.f64 im))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re))))
(+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))
(*.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64))
(/ (sin im) (exp (neg re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(* im (exp re))
(*.f64 im (exp.f64 re))
(* im re)
(*.f64 im re)
(* re (+ im (/ im re)))
(*.f64 (+.f64 (/.f64 im re) im) 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)))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) re) #s(literal 1/2 binary64)) (.f64 re re))
(* im (* (exp re) (+ 1 (* -1/6 (pow im 2)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* (exp re) (+ 1 (* -1/6 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(* re (+ 1 (* -1/6 (pow im 2))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)
(* re (+ 1 (+ (* -1/6 (/ (pow im 2) re)) (+ (* -1/6 (pow im 2)) (/ 1 re)))))
(+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re)
(* 1/6 (* (pow re 3) (+ 1 (* -1/6 (pow im 2)))))
(.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal -1/6 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (/ 1 (pow re 2))))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64))) (pow.f64 re #s(literal 3 binary64)))
(* (pow re 3) (+ (* -1/6 (/ (pow im 2) (pow re 2))) (+ (* -1/6 (/ (pow im 2) (pow re 3))) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (+ (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 im im (.f64 im (/.f64 im re))) (.f64 re re)) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re)) (.f64 re re)) (/.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal 1/36 binary64) (.f64 im im) #s(literal -1/6 binary64)))) (pow.f64 re #s(literal 3 binary64)))
(exp (neg re))
(exp.f64 (neg.f64 re))
(* 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))
(* 1/6 (* (pow re 2) (+ 1 (* -1/6 (pow im 2)))))
(.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))
(* (pow re 2) (+ (* 1/6 (+ 1 (* -1/6 (pow im 2)))) (* 1/2 (/ (+ 1 (* -1/6 (pow im 2))) re))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re) (fma.f64 #s(literal 1/36 binary64) (.f64 im im) #s(literal -1/6 binary64))) (.f64 re re))
(* 1/2 (exp (* -1 re)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 re))
(* (sin im) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re)))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) (sin.f64 im))
(- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (* -1 re))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re))))
(/ (sin im) (exp (* -1 re)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(* -1 (* re (+ (* -1 im) (* -1 (/ im re)))))
(*.f64 (+.f64 (/.f64 im re) im) re)
(* -1 (* re (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re)))))
(+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re)
(* -1 (* (pow re 3) (+ (* -1/2 (/ (+ 1 (* -1/6 (pow im 2))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 im im) #s(literal -1/6 binary64)) (/.f64 (fma.f64 (*.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64)) re)))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1/6 (/ (pow im 2) re)) (+ (* 1/2 (+ 1 (* -1/6 (pow im 2)))) (/ 1 re))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 im im) #s(literal -1/6 binary64))))
(* -1 (* (pow re 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* -1/6 (pow im 2)))) (* -1 (/ (+ 1 (* -1/6 (pow im 2))) re))) re)) (* 1/2 (+ 1 (* -1/6 (pow im 2))))) re)) (* -1/6 (+ 1 (* -1/6 (pow im 2)))))))
(.f64 (pow.f64 (neg.f64 re) #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 im im) #s(literal 1/6 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re)) re) #s(literal -1 binary64) (fma.f64 (.f64 im im) #s(literal -1/12 binary64) #s(literal 1/2 binary64))) re) #s(literal -1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 im im) #s(literal -1/6 binary64))))
(exp (* -1 re))
(exp.f64 (neg.f64 re))
(* im (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) im)
(* im (- (+ (* -1/6 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re)))))) (* 1/2 (exp (neg re)))))
(.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re))))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* 1/120 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))))))) (* 1/2 (exp (neg re)))))
(.f64 (fma.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64))) (*.f64 im im) (/.f64 #s(literal -1/2 binary64) (exp.f64 re)))) im)
(* im (- (+ (* 1/2 (exp re)) (+ (* 1/2 (+ (exp re) (/ 1 (exp re)))) (* (pow im 2) (+ (* -1/6 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))) (* (pow im 2) (+ (* -1/5040 (* (pow im 2) (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re)))))) (* 1/120 (- (+ (* 1/2 (exp re)) (* 1/2 (+ (exp re) (/ 1 (exp re))))) (* 1/2 (exp (neg re))))))))))) (* 1/2 (exp (neg re)))))
(.f64 (fma.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64))) (.f64 im im) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 re)) (exp.f64 re)) (exp.f64 re)) (exp.f64 (neg.f64 re)))) #s(literal -1/6 binary64))) (.f64 im im) (/.f64 #s(literal -1/2 binary64) (exp.f64 re)))) im)
(/ im (exp (neg re)))
(*.f64 im (exp.f64 re))
(* im (+ (* -1/6 (/ (pow im 2) (exp (neg re)))) (/ 1 (exp (neg re)))))
(*.f64 (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im) (exp.f64 re))
(* im (+ (* (pow im 2) (- (* 1/120 (/ (pow im 2) (exp (neg re)))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 im im) #s(literal -1/6 binary64)) (exp.f64 (neg.f64 re))) (.f64 im (exp.f64 re)))
(* im (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1/5040 (/ (pow im 2) (exp (neg re)))) (* 1/120 (/ 1 (exp (neg re)))))) (* 1/6 (/ 1 (exp (neg re)))))) (/ 1 (exp (neg re)))))
(fma.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 im im) #s(literal 1/120 binary64)) (exp.f64 (neg.f64 re))) (.f64 im im) (.f64 #s(literal -1/6 binary64) (exp.f64 re))) (.f64 im (exp.f64 re)))
(* im (+ 1 re))
(fma.f64 im 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))
(+ (exp re) (* -1/6 (* (pow im 2) (exp re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (exp.f64 re))
(+ 1 (+ re (* -1/6 (* (pow im 2) (+ 1 re)))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) re))
(+ 1 (+ re (* (pow re 2) (+ 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 (+ re (+ (* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re)))) (* (pow re 2) (+ 1/2 (* 1/6 re))))))
(+.f64 (fma.f64 (.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 -1/6 binary64)) (.f64 im im) re) (fma.f64 (*.f64 re re) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(* re (+ 1/2 (* 1/6 re)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)
(+ (* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re))))) (* re (+ 1/2 (* 1/6 re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))
(* (pow re 2) (+ 1/2 (* 1/6 re)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re)
(+ (* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re))))) (* (pow re 2) (+ 1/2 (* 1/6 re))))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))
(* -1/6 (* (pow im 3) (exp re)))
(.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64)) (exp.f64 re))
(* (pow im 3) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (/.f64 (/.f64 (exp.f64 re) im) im)) (pow.f64 im #s(literal 3 binary64)))
(* -1/6 (* (pow im 2) (exp re)))
(.f64 (.f64 (*.f64 im (exp.f64 re)) im) #s(literal -1/6 binary64))
(* (pow im 2) (+ (* -1/6 (exp re)) (/ (exp re) (pow im 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (exp.f64 re) (/.f64 (/.f64 (exp.f64 re) im) im)) (.f64 im im))
(* -1/6 (* (pow im 2) (+ 1 re)))
(.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64))
(* (pow im 2) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (/ re (pow im 2)))))
(.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im))
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (* -1/6 (+ 1 re))))
(.f64 (.f64 (*.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 -1/6 binary64)) im) im)
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (+ (* -1/6 (+ 1 re)) (+ (/ 1 (pow im 2)) (+ (/ re (pow im 2)) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2)))))))
(.f64 (fma.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 -1/6 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 im im))) (*.f64 im im))
(* -1/6 (pow im 2))
(.f64 (.f64 im im) #s(literal -1/6 binary64))
(* (pow im 2) (- (/ 1 (pow im 2)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)
(* -1/6 (* (pow im 2) (* re (+ 1/2 (* 1/6 re)))))
(.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal -1/6 binary64)) im) im)
(* (pow im 2) (+ (* -1/6 (* re (+ 1/2 (* 1/6 re)))) (/ (* re (+ 1/2 (* 1/6 re))) (pow im 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re (.f64 (/.f64 re im) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im))) (.f64 im im))
(* -1/6 (* (pow im 2) (* (pow re 2) (+ 1/2 (* 1/6 re)))))
(.f64 (.f64 (.f64 (.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re) #s(literal -1/6 binary64)) im) im)
(* (pow im 2) (+ (* -1/6 (* (pow re 2) (+ 1/2 (* 1/6 re)))) (/ (* (pow re 2) (+ 1/2 (* 1/6 re))) (pow im 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) (.f64 re re) (.f64 (/.f64 (.f64 re re) im) (/.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) im))) (.f64 im im))
(* -1 (* im (- (* -1 re) 1)))
(*.f64 (-.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im))
(* -1 (* (pow im 3) (+ (* -1 (/ (exp re) (pow im 2))) (* 1/6 (exp re)))))
(.f64 (pow.f64 (neg.f64 im) #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (exp.f64 re) (/.f64 (exp.f64 re) (.f64 (neg.f64 im) im))))

rewrite153.0ms (2.1%)

Memory

25.2MiB live, 254.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	431
0	85	407
1	302	385
2	2542	385
0	8142	382

Stop Event

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

Counts

24 → 264

Calls

Call 1

Inputs
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg 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))) 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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
(.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im)
#s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)))
(exp.f64 (neg.f64 re))
(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
(fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re)

Outputs
(pow.f64 (*.f64 (exp.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 re) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (sinh.f64 re))) #s(literal 4 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re))) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 re)) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 re) #s(literal 2 binary64)))
(/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))
(neg.f64 (/.f64 (exp.f64 (neg.f64 re)) #s(literal -2 binary64)))
(-.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (sinh.f64 re) #s(literal 2 binary64)))
(+.f64 (/.f64 (cosh.f64 re) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 re)) #s(literal 2 binary64)))
(*.f64 (sin.f64 im) (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (sin.f64 im)) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64))) (sin.f64 im)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))))
(/.f64 (*.f64 (sin.f64 im) (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 im) (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)))) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))) (.f64 (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))) (*.f64 (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))) (.f64 (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)))) (*.f64 (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))) (neg.f64 (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64))) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))) (/.f64 (/.f64 (pow.f64 (exp.f64 re) #s(literal -3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (fma.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 re) #s(literal -2 binary64)) #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64)))
#s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 im re im)))
#s(approx (* (exp re) im) (fma.f64 im re im))
(*.f64 (+.f64 #s(literal 1 binary64) re) im)
(*.f64 im (+.f64 #s(literal 1 binary64) re))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 im re) #s(literal 2 binary64)) (-.f64 (.f64 im re) im)) (.f64 (-.f64 (.f64 im re) im) (.f64 im im))) (.f64 (-.f64 (.f64 im re) im) (-.f64 (*.f64 im re) im)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1 binary64)) im) (fma.f64 re (-.f64 re #s(literal 1 binary64)) #s(literal 1 binary64)))
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(.f64 (.f64 re (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) re)
(.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))
(.f64 re (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) (-.f64 (.f64 (*.f64 im im) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 im #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 im im) #s(literal -1/6 binary64)))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/6 binary64)) re) re (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) re))
(fma.f64 re (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/6 binary64)) re) (.f64 re (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/6 binary64)) re) re) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) re))
(+.f64 (.f64 re (.f64 (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/6 binary64)) re)) (.f64 re (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re))
(.f64 (.f64 re re) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re)
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (.f64 re re))
(.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 re re)))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))
(.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) (.f64 re re)))
(.f64 re (.f64 (.f64 re (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))))

eval133.0ms (1.8%)

Memory: -2.4MiB live, 151.3MiB allocated
Compiler: Compiled 20 398 to 2 192 computations (89.3% saved)

prune27.0ms (0.4%)

Memory

17.1MiB live, 62.9MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	396	14	410
Fresh	2	6	8
Picked	3	2	5
Done	0	5	5
Total	401	27	428

Accuracy

100.0%

Counts

428 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.4%	(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
	56.6%	(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
✓	70.1%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	57.5%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	49.0%	#s(approx (/ (sin im) (exp (neg re))) (fma.f64 (cosh.f64 re) im (*.f64 (sinh.f64 re) im)))
✓	69.3%	#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
	44.5%	#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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))
✓	42.8%	#s(approx (/ (sin im) (exp (neg 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))) im))
	15.9%	#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
	15.8%	#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
	39.2%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
	43.1%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	35.6%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
✓	35.9%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
	42.5%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
	9.3%	#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
	39.5%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
	32.7%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
	23.7%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
	26.8%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
	8.1%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
	33.6%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
	18.5%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
	6.9%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
	11.0%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
	33.7%	#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
✓	56.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 2 116 to 822 computations (61.2% saved)

regimes65.0ms (0.9%)

Memory

-26.8MiB live, 74.1MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (/ (sin im) (exp (neg re))) (fma.f64 (cosh.f64 re) im (*.f64 (sinh.f64 re) im)))
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))
(*.f64 (-.f64 (+.f64 (cosh.f64 re) (/.f64 (exp.f64 re) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 re)) #s(literal 2 binary64))) (sin.f64 im))

Outputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))

Calls

5 calls:

18.0ms	im
14.0ms	(sin.f64 im)
12.0ms	re
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
9.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes67.0ms (0.9%)

Memory

20.3MiB live, 66.5MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.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 (exp.f64 re) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
#s(approx (/ (sin im) (exp (neg re))) (fma.f64 (cosh.f64 re) im (*.f64 (sinh.f64 re) im)))

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

Calls

5 calls:

23.0ms	(exp.f64 re)
11.0ms	(sin.f64 im)
11.0ms	im
11.0ms	re
10.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes147.0ms (2%)

Memory

-23.2MiB live, 66.5MiB allocated

Counts

37 → 5

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 (exp.f64 re) #s(literal 1 binary64) #s(literal 0 binary64))) im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) re #s(literal 1/2 binary64)) re) #s(literal 1 binary64)) re #s(literal 1 binary64))))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (*.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

5 calls:

62.0ms	(exp.f64 re)
53.0ms	re
10.0ms	(sin.f64 im)
10.0ms	im
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
98.0%	4	`re`
87.0%	3	`im`
100.0%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
95.7%	3	`(exp.f64 re)`
88.1%	3	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes10.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

32 → 5

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes18.0ms (0.2%)

Memory

22.9MiB live, 22.9MiB allocated

Counts

31 → 5

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
(/.f64 (sin.f64 im) #s(approx (exp (neg re)) (-.f64 #s(literal 1 binary64) re)))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
(*.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
95.5%	3	`re`
99.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes48.0ms (0.6%)

Memory

-39.3MiB live, 12.0MiB allocated

Counts

28 → 5

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.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))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

1 calls:

47.0ms

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

Results

Accuracy	Segments	Branch
99.5%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

27 → 5

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.2%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes73.0ms (1%)

Memory

-0.9MiB live, 45.6MiB allocated

Counts

24 → 4

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))

Outputs
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (exp re) (sin im)) (sin.f64 im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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:

46.0ms	re
7.0ms	(sin.f64 im)
7.0ms	im
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
63.1%	2	`im`
63.4%	3	`(sin.f64 im)`
76.6%	4	`re`
74.9%	3	`(exp.f64 re)`
77.9%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes63.0ms (0.9%)

Memory

-5.1MiB live, 41.5MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)) im) (-.f64 #s(literal 1 binary64) re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (*.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 -1/6 binary64)) im) im))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.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(literal 1 binary64) #s(literal 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 im (/.f64 im re) (.f64 im im))) re #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(approx (exp re) (fma.f64 (fma.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 0 binary64))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (+.f64 #s(literal 1 binary64) re) #s(literal -1/6 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) re) im) im)) (.f64 im im)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) (.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 im im) #s(literal 1/6 binary64)) (*.f64 re re))) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (+.f64 #s(literal 1 binary64) re) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (.f64 (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re) re))) im))

Outputs

#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (*.f64 (*.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))

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

38.0ms	im
7.0ms	(sin.f64 im)
6.0ms	re
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
48.8%	2	`(sin.f64 im)`
44.5%	1	`im`
53.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`
49.2%	2	`(exp.f64 re)`
49.2%	2	`re`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))
#s(approx (/ (sin im) (exp (neg re))) #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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (*.f64 (*.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
51.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) re))) im))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) im) (.f64 (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64)) (fma.f64 im re im))))

Outputs

#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (*.f64 (*.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im))

#s(approx (/ (sin im) (exp (neg 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))) im))

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
51.3%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes54.0ms (0.7%)

Memory

-29.4MiB live, 17.1MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))
#s(approx (/ (sin im) (exp (neg 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))) im))

Outputs

#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))

#s(approx (/ (sin im) (exp (neg 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))) im))

Calls

4 calls:

46.0ms	(sin.f64 im)
3.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
46.3%	2	`(sin.f64 im)`
42.8%	1	`re`
42.8%	1	`(exp.f64 re)`
46.6%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))
#s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 re im) #s(literal 1/2 binary64) im) re im)))

Outputs

#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
39.2%	1	`im`
42.7%	2	`(sin.f64 im)`
45.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) (.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 (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))

Outputs

#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (*.f64 #s(approx (* (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (*.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im))

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

Calls

1 calls:

2.0ms

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

Results

Accuracy	Segments	Branch
45.5%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes7.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.0%	2	`(sin.f64 im)`
42.6%	2	`re`
42.6%	2	`(exp.f64 re)`
42.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 10 to 13 computations (-30% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
35.9%	1	`(sin.f64 im)`
35.9%	1	`im`
35.9%	1	`re`
35.9%	1	`(exp.f64 re)`
35.9%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes60.0ms (0.8%)

Memory

-40.0MiB live, 10.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	(sin.f64 im)
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im
1.0ms	re
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
9.3%	1	`re`
9.3%	1	`im`
9.3%	1	`(exp.f64 re)`
9.3%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
9.3%	1	`(sin.f64 im)`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985909919355168	+inf
0.0ms	7.391652038695251e-32	1.6544078172508274e-29
0.0ms	-0.05070414663730072	0.0
0.0ms	-inf	-0.9952086733971856

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985909919355168	+inf
0.0ms	7.391652038695251e-32	1.6544078172508274e-29
0.0ms	-0.05070414663730072	0.0
0.0ms	-inf	-0.9952086733971856

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985909919355168	+inf
0.0ms	7.391652038695251e-32	1.6544078172508274e-29
0.0ms	-0.05070414663730072	0.0
0.0ms	-inf	-0.9952086733971856

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985909919355168	+inf
0.0ms	7.391652038695251e-32	1.6544078172508274e-29
0.0ms	-0.05070414663730072	0.0
0.0ms	-inf	-0.9952086733971856

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9985909919355168	+inf
0.0ms	7.391652038695251e-32	1.6544078172508274e-29
0.0ms	-0.05070414663730072	0.0
0.0ms	-inf	-0.9952086733971856

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch76.0ms (1%)

Memory

-2.0MiB live, 41.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
44.0ms	6.637713987855263e+86	1.6312600515495284e+93
11.0ms	3.5921823006617816e-5	0.0006171765890129155
18.0ms	-17032435.403156288	-2.0775890913491398e-16

Samples

26.0ms

432×

valid

Compiler

Compiled 1 856 to 1 246 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sin: 9.0ms (54.6% of total)

ival-exp: 4.0ms (24.3% of total)

ival-mult: 3.0ms (18.2% of total)

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

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

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.644182350744174e-306

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	1.644182350744174e-306

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	1.644182350744174e-306

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.644182350744174e-306

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	4.762309029791713e-7	0.07705736768771325

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	4.762309029791713e-7	0.07705736768771325

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	0.9667705537004272	0.9789723523050138

Compiler

Compiled 8 to 10 computations (-25% saved)

simplify54.0ms (0.7%)

Memory

18.1MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1383
1	258	1376
2	624	1190
3	3519	1190

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (.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 -1/6 binary64)) im) im))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (.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 -1/6 binary64)) im) im))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (.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 -1/6 binary64)) im) im))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (+ (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (* (* (* (+ (* (* im im) -1/6) 1) (+ (* 1/6 re) 1/2)) re) re)) (.f64 (.f64 (.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 -1/6 binary64)) im) im))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 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 re #s(literal -78 binary64)) #s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im)) (if (<=.f64 re #s(literal 5626256942481413/9223372036854775808 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 re #s(literal 1250000000000000025273598908944933735720120404017947176422221070260005006247705386698372284416 binary64)) #s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (+.f64 #s(literal 1 binary64) re) #s(approx (+ ( (* im im) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) #s(literal 1/6 binary64)) im) im)))) im)) #s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) (fma.f64 (fma.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 ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im)) #s(approx (/ (sin im) (exp (neg re))) (*.f64 #s(approx (exp re) (fma.f64 (fma.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 ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im)) #s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) #s(approx (* (+ 1 re) (+ (* (* im im) -1/6) 1)) (.f64 (.f64 (fma.f64 im re im) im) #s(literal -1/6 binary64)))) im)) #s(approx (/ (sin im) (exp (neg 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))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im)) #s(approx (/ (sin im) (exp (neg 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))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im)) #s(approx (/ (sin im) (exp (neg re))) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im)) #s(approx (/ (sin im) (exp (neg re))) (.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 4368491638549381/4503599627370496 binary64)) #s(approx (/ (sin im) (exp (neg re))) #s(approx ( (exp re) im) (fma.f64 re im im))) #s(approx (/ (sin im) (exp (neg re))) (.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 (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

Outputs
(/.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (.f64 (.f64 (.f64 (exp.f64 re) im) im) #s(literal -1/6 binary64))) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -3602879701896397/72057594037927936 binary64)) (.f64 (-.f64 #s(approx (+ (cosh re) (/ (exp re) 2)) #s(literal 3/2 binary64)) #s(approx (/ (exp (neg re)) 2) (fma.f64 #s(literal -1/2 binary64) re #s(literal 1/2 binary64)))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 35681192317649/356811923176489970264571492362373784095686656 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) #s(approx ( (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
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(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 4722366482869645/9444732965739290427392 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im)) #s(approx (/ (sin im) (exp (neg re))) (.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 4722366482869645/9444732965739290427392 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) (.f64 #s(approx ( (+ (* (* im im) -1/6) 1) (+ (* (exp re) 1) 0)) (fma.f64 (.f64 im im) #s(literal -1/6 binary64) #s(literal 1 binary64))) im)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (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 4368491638549381/4503599627370496 binary64)) #s(approx (/ (sin im) (exp (neg re))) #s(approx ( (exp re) im) (fma.f64 re im im))) #s(approx (/ (sin im) (exp (neg re))) (.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 4368491638549381/4503599627370496 binary64)) #s(approx ( (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im))) #s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (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 (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (exp re) im) (fma.f64 re im im)))
#s(approx (/ (sin im) (exp (neg re))) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))
#s(approx (* (- (+ (cosh re) (/ (exp re) 2)) (/ (exp (neg re)) 2)) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* re im) im) (*.f64 im re))))

soundness1.8s (24.5%)

Memory

0.7MiB live, 983.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	268	1135
1	983	963
2	4355	822
0	8616	746
0	71	192
1	274	181
2	1040	169
3	4901	163
0	8290	143
0	5	9
0	8	9
1	12	9
2	40	9
3	293	9
4	4290	9
0	8881	9
0	342	1743
1	1305	1501
2	6080	1495
0	8125	1343
0	239	926
1	848	799
2	3257	666
0	8136	585

Stop Event

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

Compiler

Compiled 2 277 to 771 computations (66.1% saved)

preprocess118.0ms (1.6%)

Memory: 4.1MiB live, 189.4MiB allocated
Remove: (negabs im)
Compiler: Compiled 3 310 to 408 computations (87.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample860.0ms (11.6%)

explain91.0ms (1.2%)

preprocess146.0ms (2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify191.0ms (2.6%)

localize20.0ms (0.3%)

series3.0ms (0%)

simplify252.0ms (3.4%)

rewrite238.0ms (3.2%)

eval85.0ms (1.1%)

prune7.0ms (0.1%)

simplify124.0ms (1.7%)

localize152.0ms (2%)

series16.0ms (0.2%)

simplify180.0ms (2.4%)

rewrite258.0ms (3.5%)

eval67.0ms (0.9%)

prune27.0ms (0.4%)

simplify124.0ms (1.7%)

localize171.0ms (2.3%)

series22.0ms (0.3%)

simplify228.0ms (3.1%)

rewrite197.0ms (2.6%)

eval347.0ms (4.7%)

prune29.0ms (0.4%)

simplify166.0ms (2.2%)

localize148.0ms (2%)

series33.0ms (0.4%)

simplify222.0ms (3%)

rewrite153.0ms (2.1%)

eval133.0ms (1.8%)

prune27.0ms (0.4%)

regimes65.0ms (0.9%)

regimes67.0ms (0.9%)

regimes147.0ms (2%)

regimes10.0ms (0.1%)

regimes18.0ms (0.2%)

regimes48.0ms (0.6%)

regimes9.0ms (0.1%)

regimes73.0ms (1%)

regimes63.0ms (0.9%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes54.0ms (0.7%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes60.0ms (0.8%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch76.0ms (1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify54.0ms (0.7%)

soundness1.8s (24.5%)

preprocess118.0ms (1.6%)

end0.0ms (0%)

Profiling