Metrics for math.exp on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample1.3s (14.3%)

Memory

-7.5MiB live, 1 207.9MiB allocated; 273ms collecting garbage

Samples

952.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 755.0ms

ival-sin: 523.0ms (69.3% of total)

ival-exp: 117.0ms (15.5% of total)

ival-mult: 104.0ms (13.8% of total)

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

ival-assert: 4.0ms (0.5% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

explain191.0ms (2.1%)

Memory

-8.8MiB live, 120.7MiB allocated; 28ms collecting garbage

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

38.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 17.0ms (68% of total)

ival-exp: 4.0ms (16% of total)

ival-mult: 3.0ms (12% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess286.0ms (3.2%)

Memory

-65.4MiB live, 253.7MiB allocated; 87ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	38	29
2	115	27
3	407	27
4	1648	27
0	5	5
0	8	5
1	12	5
2	26	5
3	67	5
4	279	5
5	2296	5
0	8125	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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)

simplify505.0ms (5.7%)

Memory

28.6MiB live, 161.8MiB allocated; 19ms collecting garbage

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	279	11
5	2296	11
0	8125	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

localize113.0ms (1.3%)

Memory

-16.2MiB live, 80.5MiB allocated; 19ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 im)
accuracy	0.0	(exp.f64 re)
accuracy	0.00390625	(*.f64 (exp.f64 re) (sin.f64 im))

Samples

38.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sin: 24.0ms (75.4% of total)

ival-exp: 6.0ms (18.8% of total)

ival-mult: 2.0ms (6.3% of total)

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

adjust: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

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))

simplify231.0ms (2.6%)

Memory

12.0MiB live, 230.7MiB allocated; 51ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	192
1	274	181
2	1066	169
3	5077	163
0	8576	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)

rewrite138.0ms (1.5%)

Memory

-27.0MiB live, 123.0MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	8	9
1	12	9
2	40	9
3	292	9
0	4627	9

Stop Event

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

Counts

3 → 147

Calls

Call 1

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

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

eval17.0ms (0.2%)

Memory: 37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 626 to 539 computations (85.1% saved)

prune31.0ms (0.3%)

Memory

-13.1MiB live, 22.8MiB allocated; 8ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Accuracy

100.0%

Counts

165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	67.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	63.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
▶	51.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	51.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
▶	67.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
▶	50.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))

Compiler

Compiled 141 to 111 computations (21.3% saved)

simplify859.0ms (9.7%)

Memory

6.2MiB live, 594.2MiB allocated; 85ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	43	149
1	64	149
2	134	149
3	408	149
4	1645	149
5	7230	149
0	8435	149

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.7%)

Memory

-12.7MiB live, 124.4MiB allocated; 27ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))
accuracy	0.078125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.11807429164231	#s(approx (exp re) (fma.f64 (fma.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	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0	(sin.f64 im)
accuracy	0.00390625	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
accuracy	23.381630793492096	#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	0.00390625	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
accuracy	31.220557498423553	#s(approx (exp re) (+.f64 #s(literal 1 binary64) re))
accuracy	0.0	(sin.f64 im)
accuracy	31.74467132953756	#s(approx (* (exp re) (sin im)) (sin.f64 im))
accuracy	0.0	(exp.f64 re)
accuracy	0.0078125	(*.f64 (exp.f64 re) im)
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))

Samples

137.0ms

256×

valid

Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sin: 13.0ms (34.9% of total)

ival-mult: 11.0ms (29.6% of total)

ival-add: 7.0ms (18.8% of total)

const: 4.0ms (10.7% of total)

ival-exp: 2.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

17 → 43

Calls

Call 1

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

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

simplify286.0ms (3.2%)

Memory

-23.4MiB live, 285.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	389
1	478	372
2	1811	354
3	6914	354
0	8016	310

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

rewrite49.0ms (0.6%)

Memory

-3.2MiB live, 57.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	43	128
1	131	128
0	934	128

Stop Event

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

Counts

17 → 137

Calls

Call 1

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

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

eval80.0ms (0.9%)

Memory: -2.7MiB live, 43.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 827 to 776 computations (79.7% saved)

prune40.0ms (0.5%)

Memory

-11.6MiB live, 33.8MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	168	15	183
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	168	22	190

Accuracy

100.0%

Counts

190 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	67.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	63.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
	38.2%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	66.0%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
✓	51.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	31.7%	(*.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)))
▶	19.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
	19.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
	16.3%	(.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))) (sin.f64 im))
▶	16.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	51.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
✓	67.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
▶	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	27.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
▶	26.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	50.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	36.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
	27.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	30.1%	#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 681 to 494 computations (27.5% saved)

simplify514.0ms (5.8%)

Memory

39.0MiB live, 366.9MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	323
0	62	323
1	95	323
2	190	323
3	530	323
4	1823	323
5	7170	323
0	8027	320

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.3%)

Memory

-11.4MiB live, 133.5MiB allocated; 28ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64))
accuracy	0.203125	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	21.11807429164231	#s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re)))
accuracy	30.988880890086072	#s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))
accuracy	0.0	(sin.f64 im)
accuracy	0.00390625	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
accuracy	23.381630793492096	#s(approx (exp re) #s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64))))
accuracy	30.993547859655955	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))
accuracy	0.0	(fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64))
accuracy	0.0078125	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
accuracy	23.381630793492096	#s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64)))
accuracy	0.0078125	(*.f64 #s(approx (exp re) #s(literal 1 binary64)) im)
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
accuracy	31.861353577021205	#s(approx (exp re) #s(literal 1 binary64))
accuracy	0.06640625	(fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))
accuracy	0.2109375	(.f64 (.f64 re re) #s(literal 1/6 binary64))
accuracy	21.11807429164231	#s(approx (exp re) (fma.f64 #s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64)))
accuracy	31.007944674706266	#s(approx (+ (* (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64)))

Samples

63.0ms

256×

valid

Compiler

Compiled 168 to 24 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 28.0ms (60.8% of total)

ival-add: 6.0ms (13% of total)

ival-sin: 6.0ms (13% of total)

const: 4.0ms (8.7% of total)

ival-exp: 2.0ms (4.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Counts

24 → 44

Calls

Call 1

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

Outputs
(sin im)
(+ (sin im) (* re (sin im)))
(+ (sin im) (* re (+ (sin im) (* 1/2 (* re (sin im))))))
(+ (sin im) (* re (+ (sin im) (* re (+ (* 1/6 (* re (sin im))) (* 1/2 (sin im)))))))
1
(+ 1 re)
(+ 1 (* re (+ 1 (* 1/2 re))))
(+ 1 (* re (+ 1 (* re (+ 1/2 (* 1/6 re))))))
(+ 1 (* 1/2 re))
(+ 1 (* re (+ 1/2 (* 1/6 re))))
im
(+ im (* im re))
(+ im (* re (+ im (* 1/2 (* im re)))))
(+ im (* re (+ im (* re (+ (* 1/6 (* im re)) (* 1/2 im))))))
(* 1/2 (pow re 2))
re
(* re (+ 1 (* 1/2 re)))
(* re (+ 1 (* re (+ 1/2 (* 1/6 re)))))
(* 1/6 (pow re 2))
1/2
(+ 1/2 (* 1/6 re))
(* (exp re) (sin im))
(exp re)
(* 1/6 (pow re 3))
(* (pow re 3) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* (pow re 3) (+ 1/6 (+ (* 1/2 (/ 1 re)) (+ (/ 1 (pow re 2)) (/ 1 (pow re 3))))))
(* (pow re 2) (+ 1/6 (* 1/2 (/ 1 re))))
(* (pow re 2) (+ 1/6 (+ (* 1/2 (/ 1 re)) (/ 1 (pow re 2)))))
(* im (exp re))
(* (pow re 2) (+ 1/2 (/ 1 re)))
(* (pow re 2) (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))))
(* 1/2 re)
(* re (+ 1/2 (/ 1 re)))
(* 1/6 re)
(* re (+ 1/6 (* 1/2 (/ 1 re))))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (/ 1 re)) re)) 1/6)))
(* -1 (* (pow re 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 re) (/ 1 (pow re 2)))) re)) 1/6)))
(* 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 (* -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
2.0ms	re	@	0	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
2.0ms	re	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
2.0ms	re	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
1.0ms	im	@	-inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))
0.0ms	im	@	inf	((* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (+ (* (+ (* 1/6 re) 1/2) re) 1) (* (exp re) (sin im)) (* (exp re) im) (exp re) (* (exp re) (sin im)) (* (exp re) im) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (exp re) (sin im)) (exp re) (+ (* (+ (* 1/2 re) 1) re) 1) (* (* re re) 1/2) (* (exp re) (sin im)) (exp re) (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) (* (* re re) 1/6) (+ (* 1/2 re) 1) (sin im) (+ (* 1/6 re) 1/2) (+ (* (+ (* 1/6 re) 1/2) re) 1))

simplify168.0ms (1.9%)

Memory

0.3MiB live, 229.0MiB allocated; 26ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	398
1	472	385
2	1803	369
3	6880	369
0	8104	322

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

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

rewrite59.0ms (0.7%)

Memory

10.7MiB live, 101.0MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	295
0	62	295
1	164	295
0	1015	292

Stop Event

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

Counts

24 → 157

Calls

Call 1

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

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

eval46.0ms (0.5%)

Memory: -16.3MiB live, 80.1MiB allocated; 34ms collecting garbage
Compiler: Compiled 5 954 to 936 computations (84.3% saved)

prune17.0ms (0.2%)

Memory

4.3MiB live, 50.6MiB allocated; 3ms collecting garbage

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	2	9	11
Picked	0	5	5
Done	0	6	6
Total	201	23	224

Accuracy

100.0%

Counts

224 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	67.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	63.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	66.0%	(.f64 #s(approx (exp re) (fma.f64 #s(approx (+ ( (+ (* 1/6 re) 1/2) re) 1) (.f64 (.f64 re re) #s(literal 1/6 binary64))) re #s(literal 1 binary64))) (sin.f64 im))
✓	51.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
	31.7%	(*.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)))
✓	19.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
	16.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
	19.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
✓	16.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
	15.2%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
▶	51.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
✓	67.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	27.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
▶	11.1%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
✓	26.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	50.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
▶	36.8%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im re) #s(literal 1/2 binary64) im) re im)))
▶	27.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
▶	30.1%	#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 667 to 474 computations (28.9% saved)

simplify457.0ms (5.1%)

Memory

-8.4MiB live, 219.3MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	256
0	56	256
1	92	256
2	219	256
3	654	256
4	2573	256
5	7923	256
0	8024	252

Stop Event

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

Calls

Call 1

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

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

localize176.0ms (2%)

Memory

-0.1MiB live, 195.4MiB allocated; 93ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 im #s(literal 3 binary64))
accuracy	0.08984375	(fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)
accuracy	31.74467132953756	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im)))
accuracy	31.936684778299334	#s(approx (sin im) (fma.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/6 binary64) im))
accuracy	0.09765625	(*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)))
accuracy	0.203125	(fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))
accuracy	19.944917335369528	#s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im)))
accuracy	0.01171875	(*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re)
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))) im))
accuracy	23.381630793492096	#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)))
accuracy	31.035755857348384	#s(approx (+ (* (+ (* 1/2 re) 1) re) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re))
accuracy	0.0	(fma.f64 im re im)
accuracy	20.998347756809036	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
accuracy	27.324651973814557	#s(approx (* (exp re) im) (fma.f64 im re im))
accuracy	0.0	(sin.f64 im)
accuracy	0.078125	(fma.f64 (sin.f64 im) re (sin.f64 im))
accuracy	31.259359088107903	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))

Samples

153.0ms

256×

valid

Compiler

Compiled 141 to 31 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 47.0ms (57.6% of total)

ival-sin: 13.0ms (15.9% of total)

ival-add: 9.0ms (11% of total)

const: 7.0ms (8.6% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated; 0ms collecting garbage

Counts

21 → 68

Calls

Call 1

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

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

Calls

6 calls:

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

simplify290.0ms (3.3%)

Memory

-18.8MiB live, 277.5MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	740
1	798	697
2	3207	689
0	8431	616

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 66

Calls

Call 1

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

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

rewrite103.0ms (1.2%)

Memory

-20.7MiB live, 73.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	237
0	56	237
1	188	237
0	1336	233

Stop Event

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

Counts

21 → 160

Calls

Call 1

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

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

eval61.0ms (0.7%)

Memory: 4.3MiB live, 54.2MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 082 to 1 081 computations (82.2% saved)

prune55.0ms (0.6%)

Memory

5.7MiB live, 51.4MiB allocated; 4ms collecting garbage

Pruning

30 alts after pruning (18 fresh and 12 done)

	Pruned	Kept	Total
New	204	14	218
Fresh	3	4	7
Picked	3	2	5
Done	1	10	11
Total	211	30	241

Accuracy

100.0%

Counts

241 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
✓	67.0%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	63.4%	(*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im))
✓	51.2%	(*.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im))
✓	19.7%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
	16.3%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (fma.f64 #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re))) (sin.f64 im))
	19.8%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im))
✓	16.5%	(.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) (sin.f64 im))
✓	51.2%	#s(approx (* (exp re) (sin im)) (fma.f64 (sin.f64 im) re (sin.f64 im)))
✓	67.2%	#s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))
	37.5%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
✓	33.8%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))
	27.6%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
	22.4%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) re) #s(literal -1/2 binary64)) (.f64 re re)))) im))
	11.0%	#s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im))
✓	26.0%	#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) #s(literal 1 binary64)) im))
✓	50.4%	#s(approx (* (exp re) (sin im)) (sin.f64 im))
	33.1%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (*.f64 im im) re) im im)))
	29.9%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64)) im) im (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (*.f64 im im) re) im im)))
	31.7%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64)) (.f64 im im) re) im im)))
	4.3%	#s(approx (* (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (*.f64 (sin.f64 im) re)))
	37.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 re re) #s(literal -1/4 binary64)) im) (-.f64 (*.f64 #s(literal 1/6 binary64) re) #s(literal 1/2 binary64))) re im) re im)))
	36.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) (*.f64 #s(literal 1/6 binary64) re))) re im) re im)))
	32.7%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (.f64 im #s(approx (+ ( 1/6 re) 1/2) #s(literal 1/2 binary64))) re im) re im)))
	36.5%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 #s(approx (* im (+ (* 1/6 re) 1/2)) (.f64 (.f64 im re) #s(literal 1/6 binary64))) re im) re im)))
	36.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im)))
✓	27.6%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
	5.2%	#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))
	30.1%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 im im) (.f64 im #s(literal -1/6 binary64)) im)))
	30.1%	#s(approx (* (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im)))

Compiler

Compiled 1 493 to 634 computations (57.5% saved)

regimes77.0ms (0.9%)

Memory

18.2MiB live, 103.1MiB allocated; 22ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	re
18.0ms	(exp.f64 re)
11.0ms	im
10.0ms	(sin.f64 im)
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

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

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes67.0ms (0.8%)

Memory

3.4MiB live, 59.6MiB allocated; 26ms collecting garbage

Counts

37 → 4

Calls

Call 1

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

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

Calls

5 calls:

29.0ms	re
10.0ms	im
10.0ms	(sin.f64 im)
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
7.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
84.4%	3	`(sin.f64 im)`
92.0%	2	`(exp.f64 re)`
98.1%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`
98.0%	4	`re`
83.6%	2	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes52.0ms (0.6%)

Memory

-19.6MiB live, 25.9MiB allocated; 8ms collecting garbage

Counts

35 → 4

Calls

Call 1

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

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

Calls

2 calls:

42.0ms	re
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
97.8%	4	`re`
97.6%	4	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes17.0ms (0.2%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Counts

31 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`
97.0%	4	`re`

Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes28.0ms (0.3%)

Memory

-31.2MiB live, 13.9MiB allocated; 5ms collecting garbage

Counts

30 → 5

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
99.1%	5	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

25 → 5

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

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

Results

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

Compiler

Compiled 5 to 5 computations (0% saved)

regimes36.0ms (0.4%)

Memory

2.6MiB live, 47.8MiB allocated; 5ms collecting garbage

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

10.0ms	im
7.0ms	(sin.f64 im)
7.0ms	re
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
58.2%	3	`(sin.f64 im)`
57.8%	2	`im`
61.6%	2	`(exp.f64 re)`
61.6%	2	`re`
69.1%	3	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes53.0ms (0.6%)

Memory

10.6MiB live, 62.8MiB allocated; 9ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

30.0ms	im
6.0ms	(sin.f64 im)
6.0ms	re
5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
45.3%	2	`(sin.f64 im)`
40.6%	2	`im`
37.5%	1	`(exp.f64 re)`
37.5%	1	`re`
45.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes42.0ms (0.5%)

Memory

-7.6MiB live, 38.7MiB allocated; 3ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
43.9%	2	`(sin.f64 im)`
44.1%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes10.0ms (0.1%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
42.4%	2	`(sin.f64 im)`
42.8%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes43.0ms (0.5%)

Memory

-23.6MiB live, 21.6MiB allocated; 4ms collecting garbage

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
41.7%	2	`(sin.f64 im)`
42.0%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
41.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 5 to 5 computations (0% saved)

regimes40.0ms (0.4%)

Memory

10.1MiB live, 56.2MiB allocated; 4ms collecting garbage

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

25.0ms	im
4.0ms	(sin.f64 im)
4.0ms	re
3.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
33.8%	1	`(exp.f64 re)`
33.8%	1	`re`
36.9%	2	`im`
38.6%	2	`(sin.f64 im)`
38.9%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes40.0ms (0.4%)

Memory

-23.8MiB live, 26.0MiB allocated; 8ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

35.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(sin.f64 im)

Results

Accuracy	Segments	Branch
37.6%	2	`(sin.f64 im)`
38.4%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 7 to 8 computations (-14.3% saved)

regimes35.0ms (0.4%)

Memory

-0.4MiB live, 44.1MiB allocated; 4ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

25.0ms	(exp.f64 re)
2.0ms	im
2.0ms	(sin.f64 im)
2.0ms	re
2.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

Results

Accuracy	Segments	Branch
33.7%	2	`re`
33.7%	2	`(exp.f64 re)`
27.6%	1	`im`
27.6%	1	`(sin.f64 im)`
33.8%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes6.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
27.6%	1	`(exp.f64 re)`
27.6%	1	`re`
27.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.4%)

Memory

-20.5MiB live, 26.2MiB allocated; 3ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

5 calls:

26.0ms	(sin.f64 im)
2.0ms	im
2.0ms	re
1.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	(exp.f64 re)

Results

Accuracy	Segments	Branch
27.6%	1	`im`
27.6%	1	`(sin.f64 im)`
27.6%	1	`re`
27.6%	1	`(exp.f64 re)`
27.6%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes7.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
27.8%	2	`im`
26.0%	1	`(sin.f64 im)`
27.7%	2	`(exp.f64 re)`
27.7%	2	`re`
27.7%	2	`(*.f64 (exp.f64 re) (sin.f64 im))`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

regimes5.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`(sin.f64 im)`
5.2%	1	`re`
5.2%	1	`(exp.f64 re)`
5.2%	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
5.2%	1	`im`

Compiler

Compiled 11 to 15 computations (-36.4% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf
0.0ms	4.1032397663473224e-96	6.106330451028808e-93
0.0ms	-0.003893073918862787	-0.0

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch83.0ms (0.9%)

Memory

-13.9MiB live, 87.6MiB allocated; 9ms collecting garbage

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	7.737019784198316e+93	2.1025703142937377e+94
33.0ms	5.1595366699537015	2.6871084755750605e+27
39.0ms	-4.2173099986702434e-5	-4.811488755535847e-15

Samples

63.0ms

416×

valid

Compiler

Compiled 681 to 585 computations (14.1% saved)

Precisions

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

ival-exp: 41.0ms (75.9% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.0MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf
0.0ms	4.1032397663473224e-96	6.106330451028808e-93
0.0ms	-0.003893073918862787	-0.0
0.0ms	-inf	-63.21694341997816

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf
0.0ms	4.1032397663473224e-96	6.106330451028808e-93
0.0ms	-0.003893073918862787	-0.0
0.0ms	-inf	-63.21694341997816

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf
0.0ms	4.1032397663473224e-96	6.106330451028808e-93
0.0ms	-0.003893073918862787	-0.0
0.0ms	-inf	-63.21694341997816

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf
0.0ms	-inf	-63.21694341997816

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0160367991945642e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0160367991945642e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0160367991945642e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0160367991945642e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0224110348830295e-7	0.04596363940192659

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0160367991945642e-297

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch13.0ms (0.1%)

Memory

-46.0MiB live, 0.8MiB allocated; 3ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.0224110348830295e-7	0.04596363940192659

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9997629019309353	+inf

Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch19.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	465.46721544179314	2249958170182.6157

Samples

12.0ms

160×

valid

Compiler

Compiled 328 to 240 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sin: 6.0ms (74.4% of total)

ival-exp: 1.0ms (12.4% of total)

ival-mult: 1.0ms (12.4% of total)

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

adjust: 0.0ms (0% of total)

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

simplify113.0ms (1.3%)

Memory

-8.3MiB live, 81.3MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	152	1047
1	191	1034
2	320	1034
3	756	1034
4	2901	1034

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 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 -6198106008766409/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 20999999999999998942457719432627585338389414676296292042037510260168864399904375195244594987008 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64)) (.f64 im im) re) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #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 944473296573929/2361183241434822606848 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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 1 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 1160000000 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im))))
(if (<=.f64 re #s(literal -6198106008766409/147573952589676412928 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 re #s(literal 5854679515581645/1125899906842624 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 re #s(literal 20999999999999998942457719432627585338389414676296292042037510260168864399904375195244594987008 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (.f64 #s(approx (exp re) #s(approx (+ (* (+ (* (+ (* 1/6 re) 1/2) re) 1) re) 1) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re) re))) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (fma.f64 (fma.f64 #s(literal 1/2 binary64) re #s(literal 1 binary64)) re #s(literal 1 binary64))) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx (* (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (.f64 #s(approx (exp re) (+.f64 #s(literal 1 binary64) re)) (sin.f64 im)) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) #s(approx ( (exp re) (sin im)) (sin.f64 im)))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) #s(approx ( (exp re) (sin im)) (.f64 (exp.f64 re) im)) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -1152921504606847/576460752303423488 binary64)) (not (or (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 6012269011901013/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (not (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)))))) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 (exp.f64 re) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal -inf.0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) (if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 1 binary64)) #s(approx (* (exp re) (sin im)) (sin.f64 im)) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 #s(literal -1/5040 binary64) re) #s(literal 1/5040 binary64)) im) im (fma.f64 #s(literal 1/120 binary64) re #s(literal 1/120 binary64))) (.f64 im im) (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64))) (.f64 im im) re) im im))) #s(approx ( (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (+ (* (sin im) re) (sin im)) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/6 binary64) re) #s(literal 1/6 binary64)) (.f64 im im) re) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64)) re #s(literal 1 binary64)) re #s(literal 1 binary64))) im)))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 (fma.f64 (*.f64 im (fma.f64 #s(literal 1/6 binary64) re #s(literal 1/2 binary64))) re im) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 #s(approx (+ (* (* im (+ (* 1/6 re) 1/2)) re) im) (.f64 (.f64 (*.f64 re re) im) #s(literal 1/6 binary64))) re im))))
(if (<=.f64 (.f64 (exp.f64 re) (sin.f64 im)) #s(literal 0 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (fma.f64 (fma.f64 #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 944473296573929/2361183241434822606848 binary64)) #s(approx ( (exp re) (sin im)) #s(approx (sin im) (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 im im)) im im))) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #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 1 binary64)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) (.f64 #s(approx (exp re) #s(approx (+ ( (+ (* 1/2 re) 1) re) 1) (.f64 (.f64 re re) #s(literal 1/2 binary64)))) im)))
#s(approx (* (exp re) (sin im)) (*.f64 #s(approx (exp re) (-.f64 re #s(literal -1 binary64))) im))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) (fma.f64 im re im)))
(if (<=.f64 im #s(literal 1160000000 binary64)) #s(approx (* (exp re) (sin im)) (.f64 #s(approx (exp re) #s(literal 1 binary64)) im)) #s(approx ( (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re)))))
#s(approx (* (exp re) (sin im)) #s(approx (* (exp re) im) #s(approx (+ (* im re) im) (*.f64 im re))))

derivations1.6s (17.7%)

Memory

-12.3MiB live, 1 290.6MiB allocated; 193ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	389
1	478	372
2	1811	354
3	6914	354
0	8016	310
0	37	237
0	56	237
1	188	237
0	1336	233
0	71	192
1	274	181
2	1066	169
3	5077	163
0	8576	143
0	123	398
1	472	385
2	1803	369
3	6880	369
0	8104	322
0	215	740
1	798	697
2	3207	689
0	8431	616

Stop Event

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

Compiler

Compiled 1 040 to 158 computations (84.8% saved)

preprocess139.0ms (1.6%)

Memory: 29.1MiB live, 207.7MiB allocated; 30ms collecting garbage
Remove: (negabs im)
Compiler: Compiled 2 110 to 346 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (14.3%)

explain191.0ms (2.1%)

preprocess286.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify505.0ms (5.7%)

localize113.0ms (1.3%)

series3.0ms (0%)

simplify231.0ms (2.6%)

rewrite138.0ms (1.5%)

eval17.0ms (0.2%)

prune31.0ms (0.3%)

simplify859.0ms (9.7%)

localize151.0ms (1.7%)

series7.0ms (0.1%)

simplify286.0ms (3.2%)

rewrite49.0ms (0.6%)

eval80.0ms (0.9%)

prune40.0ms (0.5%)

simplify514.0ms (5.8%)

localize114.0ms (1.3%)

series8.0ms (0.1%)

simplify168.0ms (1.9%)

rewrite59.0ms (0.7%)

eval46.0ms (0.5%)

prune17.0ms (0.2%)

simplify457.0ms (5.1%)

localize176.0ms (2%)

series19.0ms (0.2%)

simplify290.0ms (3.3%)

rewrite103.0ms (1.2%)

eval61.0ms (0.7%)

prune55.0ms (0.6%)

regimes77.0ms (0.9%)

regimes67.0ms (0.8%)

regimes52.0ms (0.6%)

regimes17.0ms (0.2%)

regimes28.0ms (0.3%)

regimes8.0ms (0.1%)

regimes36.0ms (0.4%)

regimes53.0ms (0.6%)

regimes42.0ms (0.5%)

regimes10.0ms (0.1%)

regimes43.0ms (0.5%)

regimes5.0ms (0.1%)

regimes40.0ms (0.4%)

regimes40.0ms (0.4%)

regimes35.0ms (0.4%)

regimes6.0ms (0.1%)

regimes32.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch1.0ms (0%)

bsearch83.0ms (0.9%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

bsearch19.0ms (0.2%)

simplify113.0ms (1.3%)

derivations1.6s (17.7%)

preprocess139.0ms (1.6%)

end0.0ms (0%)

Profiling