Metrics for Maksimov and Kolovsky, Equation (4)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample2.5s (19.3%)

Results

776.0ms	4099×	256	infinite
761.0ms	2900×	256	valid
263.0ms	643×	512	valid
501.0ms	593×	1024	valid
17.0ms	20×	2048	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 1.3s

Operation ival-exp, time spent: 398.0ms, 31.0% of total-time

Operation ival-cos, time spent: 323.0ms, 25.0% of total-time

Operation ival-mult, time spent: 190.0ms, 15.0% of total-time

Operation ival-div, time spent: 126.0ms, 10.0% of total-time

Operation ival-sub, time spent: 101.0ms, 8.0% of total-time

Operation ival-add, time spent: 91.0ms, 7.0% of total-time

Operation ival-neg, time spent: 49.0ms, 4.0% of total-time

Operation const, time spent: 18.0ms, 1.0% of total-time

Bogosity

preprocess551.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1266×	`times-frac`
1146×	`unsub-neg`
1110×	`fma-neg`
860×	`fma-define`
768×	`distribute-lft-in`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
152	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	128	(1.2906677326592523e+110 5.713410789252657e+184 7.576646750338032e+164 1.2343414165258742e-143)	-	`(cos.f64 (/.f64 K 2))`
0	0	-	-	`(/.f64 K 2)`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0	0	-	-	`l`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`K`
0	0	-	-	`2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	960
1	184	956
2	502	944
3	1750	944
4	5797	944

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 (neg.f64 J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 (neg.f64 K) 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) (neg.f64 U))
(neg.f64 (+.f64 (.f64 (.f64 (neg.f64 J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U))
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U))
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 (neg.f64 K) 2))) U))
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) (neg.f64 U)))
(+.f64 (.f64 (.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 J 2))) U)
(+.f64 (.f64 (.f64 U (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) J)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2))) l)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2))) K)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 (neg.f64 J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 J)) (cos.f64 (/.f64 K 2)) U)
(-.f64 U (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 J)) (cos.f64 (/.f64 K 2)) U)
(-.f64 U (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 (neg.f64 K) 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) (neg.f64 U))
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) (neg.f64 U))
(-.f64 (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(neg.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U))
(-.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
(neg.f64 (+.f64 (.f64 (.f64 (neg.f64 J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U))
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) (neg.f64 U))
(-.f64 (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(neg.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U))
(-.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 (neg.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U))
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)) (neg.f64 U))
(-.f64 (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(neg.f64 (fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U))
(-.f64 (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2)))) U)
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 (neg.f64 K) 2))) U))
(neg.f64 (fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 (neg.f64 K) 2)) U))
(neg.f64 (fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) U))
(neg.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) (neg.f64 U)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (neg.f64 J)) (cos.f64 (/.f64 K 2)) U)
(-.f64 U (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 (-.f64 (exp.f64 (neg.f64 l)) (exp.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2))) U)
(fma.f64 (*.f64 l (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) (cos.f64 (/.f64 K 2)) U)
(fma.f64 l (*.f64 (cos.f64 (/.f64 K 2)) (-.f64 (exp.f64 J) (exp.f64 (neg.f64 J)))) U)
(+.f64 (.f64 (.f64 K (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 J 2))) U)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) K) (cos.f64 (/.f64 J 2)) U)
(fma.f64 K (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 J 2))) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 K (cos.f64 (/.f64 J 2))) U)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 K (cos.f64 (.f64 J 1/2))) U)
(+.f64 (.f64 (.f64 U (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) J)
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) (cos.f64 (/.f64 K 2)) J)
(fma.f64 (cos.f64 (/.f64 K 2)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) J)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (/.f64 K 2)) U) J)
(fma.f64 U (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 K 2))) J)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2))) U)
(fma.f64 (*.f64 J (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K)))) (cos.f64 (/.f64 l 2)) U)
(fma.f64 J (*.f64 (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K))) (cos.f64 (/.f64 l 2))) U)
(fma.f64 (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K))) (.f64 J (cos.f64 (.f64 l -1/2))) U)
(fma.f64 (-.f64 (exp.f64 K) (exp.f64 (neg.f64 K))) (.f64 J (cos.f64 (.f64 l 1/2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2))) l)
(fma.f64 (*.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) (cos.f64 (/.f64 K 2)) l)
(fma.f64 (cos.f64 (/.f64 K 2)) (*.f64 J (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) l)
(fma.f64 J (*.f64 (cos.f64 (/.f64 K 2)) (-.f64 (exp.f64 U) (exp.f64 (neg.f64 U)))) l)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2))) K)
(fma.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 U 2)) K)
(fma.f64 J (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (/.f64 U 2))) K)
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 U 1/2))) K)

Symmetry

(abs K)

Compiler

Compiled 151 to 64 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

Operation ival-cos, time spent: 149.0ms, 58.0% of total-time

Operation ival-exp, time spent: 43.0ms, 17.0% of total-time

Operation ival-div, time spent: 24.0ms, 9.0% of total-time

Operation ival-mult, time spent: 22.0ms, 8.0% of total-time

Operation ival-sub, time spent: 7.0ms, 3.0% of total-time

Operation ival-add, time spent: 5.0ms, 2.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

Operation ival-neg, time spent: 4.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 32 to 18 computations (43.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize238.0ms (1.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
✓	100.0%	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	99.9%	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
✓	45.1%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 66 to 25 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

Operation ival-cos, time spent: 37.0ms, 39.0% of total-time

Operation ival-exp, time spent: 21.0ms, 22.0% of total-time

Operation ival-div, time spent: 15.0ms, 16.0% of total-time

Operation ival-mult, time spent: 10.0ms, 11.0% of total-time

Operation ival-neg, time spent: 4.0ms, 4.0% of total-time

Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

Operation ival-add, time spent: 3.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

series36.0ms (0.3%)

Counts

4 → 100

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	J	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
2.0ms	J	@	-inf	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	l	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
2.0ms	l	@	inf	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`associate-r`
162×	`associate-l`
134×	`log1p-expm1-u`
134×	`expm1-log1p-u`
132×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	89
1	299	89
2	4922	89

Stop Event

1×

unsound

Counts

4 → 74

Calls

Call 1

Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Outputs
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
(-.f64 -4 U)
(-.f64 U (*.f64 -4 U))
(-.f64 (exp.f64 (log1p.f64 U)) -3)
(-.f64 (/.f64 -4 U) U)
(*.f64 U U)
(*.f64 U -3)
(*.f64 U (-.f64 U -4))
(*.f64 -3 U)
(/.f64 U U)
(/.f64 U (+.f64 U (-.f64 -4 (*.f64 -4 U))))
(/.f64 U (+.f64 U (+.f64 (.f64 -4 U) (.f64 U (*.f64 -4 U)))))
(/.f64 -3 U)
(/.f64 (neg.f64 U) (neg.f64 U))
(/.f64 (-.f64 U -4) (-.f64 U -4))
(pow.f64 U -4)
(pow.f64 U -3)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -3 (expm1.f64 U)))
(log.f64 (/.f64 -3 (exp.f64 U)))
(cbrt.f64 U)
U
(expm1.f64 (log1p.f64 U))
(hypot.f64 -4 U)
(hypot.f64 U -4)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -3))
(fma.f64 -4 -4 U)
(fma.f64 -4 -4 (neg.f64 U))
(fma.f64 -4 (cos.f64 (*.f64 -4 K)) U)
(fma.f64 -4 (cos.f64 (*.f64 -4 K)) (neg.f64 U))
(fma.f64 J -4 U)
(fma.f64 J -4 (neg.f64 U))
(fma.f64 (cos.f64 (*.f64 -4 K)) -4 U)
(fma.f64 (cos.f64 (*.f64 -4 K)) -4 (neg.f64 U))
(fma.f64 U U -4)
(fma.f64 U U (neg.f64 (*.f64 -4 U)))
(fma.f64 -3 -4 U)
(fma.f64 -3 -4 (neg.f64 U))
(fma.f64 -3 U -4)

simplify136.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1298×	`fma-define`
728×	`cancel-sign-sub-inv`
690×	`*-commutative`
620×	`distribute-lft-out`
592×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	6658
1	392	6482
2	953	6075
3	3087	5793
4	5662	5790

Stop Event

1×	node limit

Counts

174 → 206

Calls

Call 1

Inputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))
(+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))))
(+.f64 (.f64 1/2520 (.f64 J (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 -1/46080 (.f64 J (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 2 (.f64 J l))
(+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(+.f64 (.f64 1/2520 (.f64 J (pow.f64 l 7))) (+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l)))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
(.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))
U
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(+.f64 U (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 U (+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))))
(+.f64 U (+.f64 (.f64 1/60 (.f64 J (.f64 (pow.f64 l 5) (cos.f64 (.f64 1/2 K))))) (+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l))))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))))
(+.f64 U (+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 -1/46080 (.f64 J (.f64 (pow.f64 K 6) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
U
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 U (.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
-4
-2
-1/2
0
1/4
1/2
3/2
2
4
6
8
(-.f64 -4 U)
(-.f64 U (*.f64 -4 U))
(-.f64 (exp.f64 (log1p.f64 U)) -3)
(-.f64 (/.f64 -4 U) U)
(*.f64 U U)
(*.f64 U -3)
(*.f64 U (-.f64 U -4))
(*.f64 -3 U)
(/.f64 U U)
(/.f64 U (+.f64 U (-.f64 -4 (*.f64 -4 U))))
(/.f64 U (+.f64 U (+.f64 (.f64 -4 U) (.f64 U (*.f64 -4 U)))))
(/.f64 -3 U)
(/.f64 (neg.f64 U) (neg.f64 U))
(/.f64 (-.f64 U -4) (-.f64 U -4))
(pow.f64 U -4)
(pow.f64 U -3)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -3 (expm1.f64 U)))
(log.f64 (/.f64 -3 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log1p.f64 U))
(hypot.f64 -4 U)
(hypot.f64 U -4)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -3))
(fma.f64 -4 -4 U)
(fma.f64 -4 -4 (neg.f64 U))
(fma.f64 -4 (cos.f64 (*.f64 -4 K)) U)
(fma.f64 -4 (cos.f64 (*.f64 -4 K)) (neg.f64 U))
(fma.f64 J -4 U)
(fma.f64 J -4 (neg.f64 U))
(fma.f64 (cos.f64 (*.f64 -4 K)) -4 U)
(fma.f64 (cos.f64 (*.f64 -4 K)) -4 (neg.f64 U))
(fma.f64 U U -4)
(fma.f64 U U (neg.f64 (*.f64 -4 U)))
(fma.f64 -3 -4 U)
(fma.f64 -3 -4 (neg.f64 U))
(fma.f64 -3 U -4)

Outputs
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))
(+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))
(fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l)))
(fma.f64 1/60 (pow.f64 l 5) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3))))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 2 l (*.f64 1/60 (pow.f64 l 5))))
(fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (*.f64 2 l)))
(+.f64 (.f64 1/2520 (pow.f64 l 7)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))
(fma.f64 1/2520 (pow.f64 l 7) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))))
(fma.f64 1/2520 (pow.f64 l 7) (fma.f64 1/60 (pow.f64 l 5) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))
(fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/2520 (pow.f64 l 7) (fma.f64 2 l (*.f64 1/3 (pow.f64 l 3)))))
(fma.f64 1/2520 (pow.f64 l 7) (fma.f64 1/3 (pow.f64 l 3) (fma.f64 1/60 (pow.f64 l 5) (*.f64 2 l))))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) (exp.f64 (*.f64 -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 l (.f64 2 J)))
(.f64 2 (.f64 (cos.f64 (.f64 1/2 K)) (.f64 l J)))
(.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J)))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(fma.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 J (.f64 l (cos.f64 (*.f64 1/2 K))))))
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U
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(fma.f64 (cos.f64 (*.f64 -4 K)) -4 U)
(fma.f64 -4 (cos.f64 (*.f64 K -4)) U)
(fma.f64 (cos.f64 (*.f64 -4 K)) -4 (neg.f64 U))
(fma.f64 -4 (cos.f64 (*.f64 K -4)) (neg.f64 U))
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U U -4)
(fma.f64 U U (neg.f64 (*.f64 -4 U)))
(*.f64 U (+.f64 U 4))
(*.f64 U (+.f64 4 U))
(fma.f64 -3 -4 U)
(+.f64 12 U)
(+.f64 U 12)
(fma.f64 -3 -4 (neg.f64 U))
(+.f64 12 (neg.f64 U))
(-.f64 12 U)
(fma.f64 -3 U -4)
(fma.f64 U -3 -4)

eval74.0ms (0.6%)

Compiler: Compiled 3556 to 2120 computations (40.4% saved)

prune60.0ms (0.5%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	174	32	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	174	33	207

Accuracy

100.0%

Counts

207 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
	2.5%	(fma.f64 U -3 -4)
	8.3%	(pow.f64 U -3)
	8.8%	(pow.f64 U -4)
	2.4%	(/.f64 1 (+.f64 (*.f64 U -4) -3))
	2.1%	(/.f64 -3 U)
	2.2%	(-.f64 (/.f64 -4 U) U)
▶	2.5%	(-.f64 (*.f64 J -4) U)
▶	2.5%	(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
	2.5%	(-.f64 16 U)
	2.5%	(-.f64 -4 U)
	89.8%	(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
✓	82.5%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
	89.8%	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
▶	94.8%	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2))) U)
	31.7%	(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
	31.8%	(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
	31.5%	(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
	31.4%	(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
	72.1%	(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
	89.8%	(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))))) U)
	75.6%	(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
	9.1%	(*.f64 U U)
	2.3%	(*.f64 U -3)
	9.0%	(*.f64 5 U)
	2.3%	(sqrt.f64 U)
▶	25.2%	(log1p.f64 (expm1.f64 U))
	5.5%	(log.f64 (/.f64 -3 (exp.f64 U)))
	4.1%	(cbrt.f64 U)
	42.6%	U
▶	3.0%	1

Compiler

Compiled 761 to 604 computations (20.6% saved)

localize2.1s (16.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 1/60 (pow.f64 l 5))
✓	100.0%	(*.f64 1/3 (pow.f64 l 3))
✓	99.9%	(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))
✓	99.6%	(.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))

Compiler

Compiled 169 to 122 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-cos, time spent: 969.0ms, 54.0% of total-time

Operation ival-pow, time spent: 238.0ms, 13.0% of total-time

Operation ival-mult, time spent: 233.0ms, 13.0% of total-time

Operation composed, time spent: 122.0ms, 7.0% of total-time

Operation ival-log, time spent: 81.0ms, 4.0% of total-time

Operation ival-add, time spent: 64.0ms, 4.0% of total-time

Operation const, time spent: 30.0ms, 2.0% of total-time

Operation ival-div, time spent: 30.0ms, 2.0% of total-time

Operation ival-exp, time spent: 18.0ms, 1.0% of total-time

Operation ival-sub, time spent: 18.0ms, 1.0% of total-time

series28.0ms (0.2%)

Counts

4 → 48

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	K	@	inf	(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))
3.0ms	J	@	0	(.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))
2.0ms	K	@	0	(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	J	@	0	(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))
1.0ms	K	@	-inf	(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))

rewrite156.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1025×	`log1p-expm1-u`
940×	`expm1-log1p-u`
312×	`associate-r`
212×	`associate-l`
146×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
1	341	157
2	4698	157

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))
(.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2)))
(*.f64 1/3 (pow.f64 l 3))
(*.f64 1/60 (pow.f64 l 5))

Outputs
(+.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 (pow.f64 l 5) (.f64 1/60 J)))
(+.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3)))) (.f64 J (.f64 l 2)))
(+.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3))) J) (.f64 (.f64 l 2) J))
(+.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) 1) (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) 3) (pow.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3)) (+.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 (pow.f64 l 5) (.f64 1/60 J))) (-.f64 (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 (pow.f64 l 5) (.f64 1/60 J))) (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))) (-.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))
(/.f64 (.f64 J (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) 3) (pow.f64 (.f64 1/60 (pow.f64 l 5)) 3))) (+.f64 (.f64 (pow.f64 l 10) 1/3600) (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (-.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 1/60 (pow.f64 l 5))))))
(/.f64 (.f64 J (-.f64 (.f64 (pow.f64 l 10) 1/3600) (pow.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) 2))) (-.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) 3) (pow.f64 (.f64 1/60 (pow.f64 l 5)) 3)) J) (+.f64 (.f64 (pow.f64 l 10) 1/3600) (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (-.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 1/60 (pow.f64 l 5))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 l 10) 1/3600) (pow.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) 2)) J) (-.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 1)
(pow.f64 (cbrt.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))) 3)
(pow.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))) 2)
(sqrt.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))) J))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))))
(cbrt.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3))
(cbrt.f64 (.f64 (pow.f64 J 3) (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3) (pow.f64 J 3)))
(expm1.f64 (log1p.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))))
(log1p.f64 (expm1.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))))
(exp.f64 (log.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))))
(exp.f64 (.f64 (log.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))) 1))
(fma.f64 J (.f64 1/60 (pow.f64 l 5)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(fma.f64 (.f64 1/60 (pow.f64 l 5)) J (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(+.f64 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 (pow.f64 l 5) (.f64 1/60 J))) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))
(+.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (cos.f64 (.f64 K 1/2))) (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (cos.f64 (.f64 K 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))))) 1)
(pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 2)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3) (pow.f64 (cos.f64 (.f64 K 1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 K 1/2)) 3) (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (*.f64 K 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 l 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 l 3)) 1)
(pow.f64 (*.f64 l (cbrt.f64 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 l 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 l 3/2) (sqrt.f64 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 l 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 l 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 l 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 l 3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 l 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 l 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 l 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 l 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 l 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 l 5))) 3)
(pow.f64 (pow.f64 (*.f64 1/60 (pow.f64 l 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 l 5/2) (sqrt.f64 1/60)) 2)
(sqrt.f64 (*.f64 (pow.f64 l 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 l 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 l 5)))))
(cbrt.f64 (pow.f64 (*.f64 1/60 (pow.f64 l 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 l 5))))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 l 5))))
(exp.f64 (log.f64 (*.f64 1/60 (pow.f64 l 5))))
(exp.f64 (.f64 (log.f64 (.f64 1/60 (pow.f64 l 5))) 1))

simplify138.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1766×	`times-frac`
1630×	`fma-neg`
604×	`associate-+r+`
546×	`associate-+l+`
532×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	7706
1	657	7137
2	2378	6854
3	5328	6846

Stop Event

1×	node limit

Counts

119 → 139

Calls

Call 1

Inputs
(.f64 2 (.f64 J l))
(+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 J (pow.f64 l 3))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 J (pow.f64 l 3))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) 3) (pow.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3)) (+.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 (pow.f64 l 5) (.f64 1/60 J))) (-.f64 (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))))))
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(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) 3) (pow.f64 (.f64 1/60 (pow.f64 l 5)) 3)) J) (+.f64 (.f64 (pow.f64 l 10) 1/3600) (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (-.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 1/60 (pow.f64 l 5))))))
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(pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 1)
(pow.f64 (cbrt.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))) 3)
(pow.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))) 2)
(sqrt.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))) J))
(log.f64 (+.f64 1 (expm1.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))))
(cbrt.f64 (pow.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))) 3))
(cbrt.f64 (.f64 (pow.f64 J 3) (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) 3) (pow.f64 J 3)))
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(log1p.f64 (expm1.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))))
(exp.f64 (log.f64 (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))))
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(fma.f64 J (.f64 1/60 (pow.f64 l 5)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(fma.f64 (.f64 1/60 (pow.f64 l 5)) J (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(+.f64 (.f64 (cos.f64 (.f64 K 1/2)) (.f64 (pow.f64 l 5) (.f64 1/60 J))) (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))
(+.f64 (.f64 (.f64 (pow.f64 l 5) (.f64 1/60 J)) (cos.f64 (.f64 K 1/2))) (.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (cos.f64 (.f64 K 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))))) 1)
(pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 1)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 2)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 K 1/2))) (.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2)))))))
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(log1p.f64 (expm1.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))))
(exp.f64 (log.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (*.f64 K 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 l 3)))) 1)
(pow.f64 (*.f64 1/3 (pow.f64 l 3)) 1)
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(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 l 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 l 3/2) (sqrt.f64 1/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 l 6) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 l 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 l 3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 l 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 l 3))))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 l 3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 l 3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 l 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 l 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 l 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 l 5))) 3)
(pow.f64 (pow.f64 (*.f64 1/60 (pow.f64 l 5)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 l 5/2) (sqrt.f64 1/60)) 2)
(sqrt.f64 (*.f64 (pow.f64 l 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 l 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 l 5)))))
(cbrt.f64 (pow.f64 (*.f64 1/60 (pow.f64 l 5)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 l 5))))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 l 5))))
(exp.f64 (log.f64 (*.f64 1/60 (pow.f64 l 5))))
(exp.f64 (.f64 (log.f64 (.f64 1/60 (pow.f64 l 5))) 1))

Outputs
(.f64 2 (.f64 J l))
(.f64 J (.f64 2 l))
(+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l)))
(fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 J (*.f64 2 l)))
(.f64 J (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 J (.f64 2 l))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 J (.f64 2 l))))
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(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
(.f64 J (.f64 1/60 (pow.f64 l 5)))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 J (pow.f64 l 3))))
(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (.f64 1/3 (*.f64 J (pow.f64 l 3))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (.f64 1/3 (pow.f64 l 3))))
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(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 J (.f64 2 l))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 J (.f64 2 l))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3)))))
(.f64 J (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l))))
(.f64 1/60 (.f64 J (pow.f64 l 5)))
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(+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (.f64 1/3 (.f64 J (pow.f64 l 3))))
(fma.f64 1/60 (.f64 J (pow.f64 l 5)) (.f64 1/3 (*.f64 J (pow.f64 l 3))))
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(*.f64 1/60 (pow.f64 l 5))
(pow.f64 (*.f64 (pow.f64 l 5/2) (sqrt.f64 1/60)) 2)
(*.f64 1/60 (pow.f64 l 5))
(sqrt.f64 (*.f64 (pow.f64 l 10) 1/3600))
(*.f64 1/60 (pow.f64 l 5))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 l 5)))
(*.f64 1/60 (pow.f64 l 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 l 5)))))
(*.f64 1/60 (pow.f64 l 5))
(cbrt.f64 (pow.f64 (*.f64 1/60 (pow.f64 l 5)) 3))
(*.f64 1/60 (pow.f64 l 5))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 l 5))))
(+.f64 (*.f64 1/60 (pow.f64 l 5)) 0)
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 l 5))))
(*.f64 1/60 (pow.f64 l 5))
(exp.f64 (log.f64 (*.f64 1/60 (pow.f64 l 5))))
(*.f64 1/60 (pow.f64 l 5))
(exp.f64 (.f64 (log.f64 (.f64 1/60 (pow.f64 l 5))) 1))
(*.f64 1/60 (pow.f64 l 5))

eval81.0ms (0.6%)

Compiler: Compiled 4225 to 3180 computations (24.7% saved)

prune50.0ms (0.4%)

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	1	26	27
Picked	1	4	5
Done	1	0	1
Total	138	34	172

Accuracy

100.0%

Counts

172 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
	2.5%	(fma.f64 U -3 -4)
	8.3%	(pow.f64 U -3)
	8.8%	(pow.f64 U -4)
	2.4%	(/.f64 1 (+.f64 (*.f64 U -4) -3))
	2.1%	(/.f64 -3 U)
▶	2.2%	(-.f64 (/.f64 -4 U) U)
✓	2.5%	(-.f64 (*.f64 J -4) U)
✓	2.5%	(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
	2.5%	(-.f64 16 U)
	2.5%	(-.f64 -4 U)
▶	94.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3) U)
	89.8%	(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
	89.8%	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
	76.4%	(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
	31.7%	(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
	31.8%	(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
	31.5%	(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
▶	31.4%	(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
	72.1%	(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
	77.7%	(+.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U)
	89.8%	(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
	75.6%	(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
	9.1%	(*.f64 U U)
	2.3%	(*.f64 U -3)
	9.0%	(*.f64 5 U)
	2.3%	(sqrt.f64 U)
✓	25.2%	(log1p.f64 (expm1.f64 U))
▶	5.5%	(log.f64 (/.f64 -3 (exp.f64 U)))
	4.1%	(cbrt.f64 U)
▶	42.6%	U
✓	3.0%	1

Compiler

Compiled 793 to 628 computations (20.8% saved)

localize454.0ms (3.5%)

Compiler: Compiled 204 to 145 computations (28.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 359.0ms
Operation ival-pow, time spent: 117.0ms, 33.0% of total-time
Operation ival-mult, time spent: 82.0ms, 23.0% of total-time
Operation ival-cos, time spent: 63.0ms, 18.0% of total-time
Operation composed, time spent: 42.0ms, 12.0% of total-time
Operation ival-add, time spent: 18.0ms, 5.0% of total-time
Operation ival-div, time spent: 15.0ms, 4.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 2.0% of total-time
Operation ival-log, time spent: 4.0ms, 1.0% of total-time
Operation ival-exp, time spent: 2.0ms, 1.0% of total-time
Operation ival-sub, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune25.0ms (0.2%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	25	25
Picked	5	5
Done	4	4
Total	34	34

Accuracy

100.0%

Counts

34 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.6%	(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
	2.5%	(fma.f64 U -3 -4)
	8.3%	(pow.f64 U -3)
	8.8%	(pow.f64 U -4)
▶	2.4%	(/.f64 1 (+.f64 (*.f64 U -4) -3))
	2.1%	(/.f64 -3 U)
✓	2.2%	(-.f64 (/.f64 -4 U) U)
✓	2.5%	(-.f64 (*.f64 J -4) U)
✓	2.5%	(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
	2.5%	(-.f64 16 U)
	2.5%	(-.f64 -4 U)
✓	94.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3) U)
	89.8%	(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
	89.8%	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
	76.4%	(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
	31.7%	(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
	31.8%	(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
▶	31.5%	(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
✓	31.4%	(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
▶	72.1%	(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
	77.7%	(+.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U)
▶	89.8%	(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
	75.6%	(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
	9.1%	(*.f64 U U)
	2.3%	(*.f64 U -3)
▶	9.0%	(*.f64 5 U)
	2.3%	(sqrt.f64 U)
✓	25.2%	(log1p.f64 (expm1.f64 U))
✓	5.5%	(log.f64 (/.f64 -3 (exp.f64 U)))
	4.1%	(cbrt.f64 U)
✓	42.6%	U
✓	3.0%	1

Compiler

Compiled 727 to 575 computations (20.9% saved)

localize533.0ms (4.1%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
	100.0%	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
	45.1%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
✓	100.0%	(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
✓	99.8%	(.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2)))
✓	99.7%	(/.f64 1 (+.f64 (*.f64 U -4) -3))
✓	100.0%	(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
✓	100.0%	(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
✓	99.9%	(.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (*.f64 1/2 K)))
✓	97.6%	(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K))))

Compiler

Compiled 170 to 103 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 334.0ms

Operation ival-mult, time spent: 94.0ms, 28.0% of total-time

Operation ival-cos, time spent: 90.0ms, 27.0% of total-time

Operation ival-pow, time spent: 43.0ms, 13.0% of total-time

Operation composed, time spent: 29.0ms, 9.0% of total-time

Operation ival-add, time spent: 24.0ms, 7.0% of total-time

Operation ival-exp, time spent: 21.0ms, 6.0% of total-time

Operation ival-div, time spent: 16.0ms, 5.0% of total-time

Operation const, time spent: 11.0ms, 3.0% of total-time

Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series65.0ms (0.5%)

Counts

8 → 228

Calls

57 calls:

Time	Variable		Point	Expression
12.0ms	U	@	inf	(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
6.0ms	K	@	0	(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K))))
2.0ms	K	@	-inf	(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
1.0ms	J	@	0	(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K))))
1.0ms	l	@	inf	(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K))))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`associate-r`
326×	`associate-l`
259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
255×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	460
1	620	460

Stop Event

1×	node limit

Counts

8 → 221

Calls

Call 1

Inputs
(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K))))
(.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (*.f64 1/2 K)))
(fma.f64 1/3 (pow.f64 l 3) (*.f64 2 l))
(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2)))
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)

Outputs
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
U
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(+.f64 -19683 U)
(+.f64 U -19683)
(+.f64 U U)
(+.f64 U (fma.f64 U -19683 U))
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
U
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
U
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
U
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)

simplify176.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1950×	`fma-define`
992×	`distribute-lft-out`
972×	`associate-+r+`
916×	`associate-r`
894×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	11912
1	517	11446
2	1533	11054
3	5963	10852

Stop Event

1×	node limit

Counts

449 → 233

Calls

Call 1

Inputs
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))
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(.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (*.f64 1/2 K))))
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(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))
(*.f64 2 l)
(+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))
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(*.f64 1/3 (pow.f64 l 3))
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(*.f64 1/3 (pow.f64 l 3))
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U
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(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))))
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(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))))
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U
(+.f64 U (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
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(.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))))
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U
(+.f64 U (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))))
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U
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-1/3
(-.f64 (*.f64 4/9 U) 1/3)
(-.f64 (+.f64 (.f64 -16/27 (pow.f64 U 2)) (.f64 4/9 U)) 1/3)
(-.f64 (+.f64 (.f64 -16/27 (pow.f64 U 2)) (+.f64 (.f64 4/9 U) (*.f64 64/81 (pow.f64 U 3)))) 1/3)
(/.f64 -1/4 U)
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(/.f64 -1/4 U)
(-.f64 (.f64 3/16 (/.f64 1 (pow.f64 U 2))) (.f64 1/4 (/.f64 1 U)))
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(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
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(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(*.f64 -1/2 J)
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(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
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(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
U
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(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
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(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
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(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (*.f64 -1/2 J))
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(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
U
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
U
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
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(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
U
(+.f64 U (.f64 2 (.f64 J l)))
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(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(+.f64 -19683 U)
(+.f64 U -19683)
(+.f64 U U)
(+.f64 U (fma.f64 U -19683 U))
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(-.f64 -19683 U)
(-.f64 U -19683)
(-.f64 U U)
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U U)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) -19683))
(fma.f64 -19683 -19683 U)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)

Outputs
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 2 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) l)))
(.f64 (.f64 J (.f64 l 2)) (cos.f64 (.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (.f64 J (.f64 l 2)))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))))
(.f64 1/3 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/3 (pow.f64 l 3))))
(.f64 (pow.f64 l 3) (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) 1/3)))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))))
(.f64 1/3 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (pow.f64 l 3))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (.f64 1/3 (pow.f64 l 3))))
(.f64 (pow.f64 l 3) (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) 1/3)))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(+.f64 (.f64 1/3 (.f64 J (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K))))) (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))
(.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))
(fma.f64 -1/8 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 2))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))
(fma.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (*.f64 -1/8 (pow.f64 K 2)))))
(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)) (fma.f64 -1/8 (pow.f64 K 2) 1)))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))))
(fma.f64 -1/8 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 2))) (fma.f64 1/384 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 4))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)))))
(fma.f64 -1/8 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 2))) (fma.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 (.f64 (.f64 J 1/384) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (pow.f64 K 4))))
(fma.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (fma.f64 -1/8 (pow.f64 K 2) (*.f64 1/384 (pow.f64 K 4))))))
(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (+.f64 (.f64 -1/8 (pow.f64 K 2)) (fma.f64 1/384 (pow.f64 K 4) 1))))
(+.f64 (.f64 -1/8 (.f64 J (.f64 (pow.f64 K 2) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (+.f64 (.f64 -1/46080 (.f64 J (.f64 (pow.f64 K 6) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (+.f64 (.f64 1/384 (.f64 J (.f64 (pow.f64 K 4) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))))))
(fma.f64 -1/8 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 2))) (fma.f64 -1/46080 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 6))) (fma.f64 1/384 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 4))) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))))))
(fma.f64 -1/8 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 2))) (fma.f64 -1/46080 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (pow.f64 K 6))) (fma.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (.f64 (.f64 (.f64 J 1/384) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2))) (pow.f64 K 4)))))
(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (fma.f64 -1/8 (pow.f64 K 2) 1))) (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (fma.f64 -1/46080 (pow.f64 K 6) (*.f64 1/384 (pow.f64 K 4))))))
(.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (+.f64 (fma.f64 1/384 (pow.f64 K 4) 1) (fma.f64 -1/8 (pow.f64 K 2) (.f64 -1/46080 (pow.f64 K 6))))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))))
(.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))))
(.f64 2 (.f64 l (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 l 2) (cos.f64 (*.f64 1/2 K)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 l 2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
(.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (*.f64 1/2 K))))
(.f64 1/3 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 3)))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 1/3 (pow.f64 l 3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))))
(.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))
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U
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U
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(.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K)))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) -1/2))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J -1/2))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K)))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) -1/2))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J -1/2))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (*.f64 -1/2 J))
(+.f64 U (*.f64 J -1/2))
(fma.f64 J -1/2 U)
(+.f64 U (+.f64 (.f64 -1/2 J) (.f64 1/16 (*.f64 J (pow.f64 K 2)))))
(+.f64 U (fma.f64 -1/2 J (.f64 (.f64 1/16 J) (pow.f64 K 2))))
(+.f64 U (fma.f64 (.f64 J 1/16) (pow.f64 K 2) (.f64 J -1/2)))
(+.f64 U (.f64 J (+.f64 -1/2 (.f64 (pow.f64 K 2) 1/16))))
(+.f64 U (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)))
(+.f64 U (+.f64 (.f64 -1/2 J) (+.f64 (.f64 -1/768 (.f64 J (pow.f64 K 4))) (.f64 1/16 (*.f64 J (pow.f64 K 2))))))
(+.f64 U (fma.f64 -1/2 J (fma.f64 -1/768 (.f64 J (pow.f64 K 4)) (.f64 (*.f64 1/16 J) (pow.f64 K 2)))))
(+.f64 (fma.f64 -1/768 (.f64 J (pow.f64 K 4)) (.f64 J (*.f64 (pow.f64 K 2) 1/16))) (fma.f64 J -1/2 U))
(+.f64 U (fma.f64 J (.f64 (pow.f64 K 4) -1/768) (.f64 J (+.f64 -1/2 (*.f64 (pow.f64 K 2) 1/16)))))
(+.f64 U (.f64 J (+.f64 (+.f64 -1/2 (.f64 (pow.f64 K 2) 1/16)) (*.f64 (pow.f64 K 4) -1/768))))
(+.f64 U (+.f64 (.f64 -1/2 J) (+.f64 (.f64 -1/768 (.f64 J (pow.f64 K 4))) (+.f64 (.f64 1/92160 (.f64 J (pow.f64 K 6))) (.f64 1/16 (*.f64 J (pow.f64 K 2)))))))
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(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K))))
(.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K)))
(.f64 J (.f64 (cos.f64 (*.f64 1/2 K)) -1/2))
(.f64 (cos.f64 (.f64 1/2 K)) (*.f64 J -1/2))
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
U
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
U
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
(+.f64 U (.f64 -1/2 (.f64 J (cos.f64 (*.f64 1/2 K)))))
(+.f64 U (.f64 (.f64 J -1/2) (cos.f64 (*.f64 1/2 K))))
(fma.f64 (.f64 J -1/2) (cos.f64 (.f64 1/2 K)) U)
(fma.f64 J (.f64 (cos.f64 (.f64 1/2 K)) -1/2) U)
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 U (.f64 2 (.f64 J l)))
(fma.f64 2 (*.f64 J l) U)
(fma.f64 J (*.f64 l 2) U)
(+.f64 U (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))))
(+.f64 (.f64 J (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) U)
(fma.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)) U)
(+.f64 U (+.f64 (.f64 1/60 (.f64 J (pow.f64 l 5))) (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l)))))
(+.f64 U (fma.f64 1/60 (.f64 J (pow.f64 l 5)) (fma.f64 1/3 (.f64 J (pow.f64 l 3)) (.f64 2 (.f64 J l)))))
(+.f64 U (fma.f64 1/60 (.f64 J (pow.f64 l 5)) (.f64 J (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))))
(+.f64 U (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (fma.f64 1/3 (pow.f64 l 3) (*.f64 l 2)))))
(+.f64 U (.f64 J (+.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2)) (*.f64 1/60 (pow.f64 l 5)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (.f64 J (-.f64 (exp.f64 l) (exp.f64 (.f64 -1 l)))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+.f64 U (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(+.f64 U 19683)
(-.f64 U U)
0
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U 2)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
1
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
U
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log1p.f64 (+.f64 (exp.f64 U) -19685))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(-.f64 U 1)
(+.f64 U -1)
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(hypot.f64 U -19683)
(hypot.f64 -19683 U)
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) -19683))
(pow.f64 U -19683)
(fma.f64 -19683 -19683 U)
(+.f64 387420489 U)
(+.f64 U 387420489)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(+.f64 -19683 U)
(+.f64 U -19683)
(+.f64 U -19683)
(+.f64 U U)
(*.f64 2 U)
(+.f64 U (fma.f64 U -19683 U))
(+.f64 U (*.f64 -19682 U))
(*.f64 U -19681)
(-.f64 -19683 U)
(-.f64 U -19683)
(+.f64 U 19683)
(-.f64 U U)
0
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U 2)
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
U
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log1p.f64 (+.f64 (exp.f64 U) -19685))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(-.f64 U 1)
(+.f64 U -1)
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(hypot.f64 U -19683)
(hypot.f64 -19683 U)
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) -19683))
(pow.f64 U -19683)
(fma.f64 -19683 -19683 U)
(+.f64 387420489 U)
(+.f64 U 387420489)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
-19683
-64
-27
-9
-4
-3
-2
-1
-1/2
0
1/4
1/3
1/2
3/4
1
3/2
2
3
4
6
8
9
12
16
27
81
729
(-.f64 -19683 U)
(-.f64 U -19683)
(+.f64 U 19683)
(-.f64 U U)
0
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U 2)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
1
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
U
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log1p.f64 (+.f64 (exp.f64 U) -19685))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(-.f64 U 1)
(+.f64 U -1)
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(hypot.f64 U -19683)
(hypot.f64 -19683 U)
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) -19683))
(pow.f64 U -19683)
(fma.f64 -19683 -19683 U)
(+.f64 387420489 U)
(+.f64 U 387420489)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)
(-.f64 -19683 U)
(-.f64 U -19683)
(+.f64 U 19683)
(-.f64 U U)
0
(*.f64 -19683 U)
(*.f64 U -19683)
(*.f64 U -19683)
(*.f64 U U)
(pow.f64 U 2)
(/.f64 -19683 U)
(/.f64 U -19683)
(/.f64 U U)
1
(pow.f64 U -19683)
(neg.f64 U)
(sqrt.f64 U)
(fabs.f64 U)
(log.f64 (exp.f64 U))
U
(log.f64 (+.f64 -19683 (expm1.f64 U)))
(log1p.f64 (+.f64 (exp.f64 U) -19685))
(log.f64 (/.f64 -19683 (exp.f64 U)))
(cbrt.f64 U)
(expm1.f64 (log.f64 U))
(-.f64 U 1)
(+.f64 U -1)
(hypot.f64 -19683 U)
(hypot.f64 U -19683)
(hypot.f64 U -19683)
(hypot.f64 -19683 U)
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) -19683))
(pow.f64 U -19683)
(fma.f64 -19683 -19683 U)
(+.f64 387420489 U)
(+.f64 U 387420489)
(fma.f64 -19683 U -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U -19683 -19683)
(fma.f64 U U -19683)
(fma.f64 U U U)

eval99.0ms (0.8%)

Compiler: Compiled 4256 to 3027 computations (28.9% saved)

prune85.0ms (0.7%)

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	257	25	282
Fresh	10	10	20
Picked	4	1	5
Done	3	6	9
Total	274	42	316

Accuracy

100.0%

Counts

316 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.8%	(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
	63.9%	(fma.f64 J (*.f64 l 2) U)
	8.8%	(pow.f64 U -4)
	11.0%	(pow.f64 U -19683)
	2.1%	(/.f64 -1/4 U)
	2.5%	(/.f64 -19683 U)
	5.3%	(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
✓	2.5%	(-.f64 (*.f64 J -4) U)
✓	94.4%	(+.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3) U)
	74.2%	(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
	75.6%	(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
	76.4%	(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
	31.7%	(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
	31.8%	(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
	75.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
	63.9%	(+.f64 (.f64 l (.f64 2 J)) U)
	9.8%	(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
	26.7%	(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
	74.2%	(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
	77.7%	(+.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U)
	75.6%	(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
	89.8%	(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) U)
	31.7%	(+.f64 (*.f64 J 8) U)
	31.8%	(+.f64 (*.f64 J 1/4) U)
	31.5%	(+.f64 (*.f64 J -1/2) U)
	29.0%	(+.f64 U 387420489)
	29.2%	(+.f64 U -19683)
	29.4%	(+.f64 81 U)
	29.5%	(+.f64 3/4 U)
	29.4%	(+.f64 1/4 U)
	9.1%	(*.f64 U U)
	2.7%	(*.f64 U -19683)
	32.4%	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	9.0%	(*.f64 5 U)
	2.3%	(sqrt.f64 U)
	2.3%	(neg.f64 U)
✓	25.2%	(log1p.f64 (expm1.f64 U))
✓	5.5%	(log.f64 (/.f64 -3 (exp.f64 U)))
	4.1%	(cbrt.f64 U)
✓	42.6%	U
✓	3.0%	1
	2.8%	-1/3

Compiler

Compiled 965 to 707 computations (26.7% saved)

regimes584.0ms (4.5%)

Counts

62 → 3

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) U)
(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (fma.f64 2 l (.f64 1/3 (pow.f64 l 3))))) U)
(+.f64 (.f64 J (.f64 (fma.f64 1/3 (pow.f64 l 3) (.f64 2 l)) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 1/60 (pow.f64 l 5) (fma.f64 1/3 (pow.f64 l 3) (.f64 l 2))) (.f64 J (cos.f64 (.f64 K 1/2))))) 3) U)

Outputs

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

(+.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 1/2 K)) (+.f64 (*.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) U)

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Calls

10 calls:

151.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
105.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
89.0ms	J
89.0ms	l
34.0ms	(/.f64 K 2)

Results

Accuracy	Segments	Branch
98.5%	3	`J`
99.9%	3	`l`
94.8%	1	`K`
94.8%	1	`U`
99.9%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)`
99.9%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))`
99.9%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
99.9%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.8%	1	`(cos.f64 (/.f64 K 2))`
94.8%	1	`(/.f64 K 2)`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes431.0ms (3.3%)

Counts

57 → 4

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) U)
(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) (cos.f64 (/.f64 K 2))) U)

Outputs
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l)))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)

Calls

8 calls:

106.0ms	l
88.0ms	J
65.0ms	(/.f64 K 2)
59.0ms	K
57.0ms	(cos.f64 (/.f64 K 2))

Results

Accuracy	Segments	Branch
91.8%	2	`K`
89.8%	1	`U`
91.8%	2	`(/.f64 K 2)`
91.8%	2	`(cos.f64 (/.f64 K 2))`
92.5%	3	`J`
94.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
97.4%	4	`l`
94.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 57 to 46 computations (19.3% saved)

regimes118.0ms (0.9%)

Counts

53 → 4

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)

Outputs
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U)

Calls

1 calls:

112.0ms

Results

Accuracy	Segments	Branch
97.2%	4	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes826.0ms (6.4%)

Counts

52 → 3

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(fma.f64 (.f64 2 J) (.f64 l (cos.f64 (*.f64 1/2 K))) U)

Outputs
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)

Calls

8 calls:

240.0ms	K
155.0ms	(/.f64 K 2)
149.0ms	U
103.0ms	(cos.f64 (/.f64 K 2))
81.0ms	l

Results

Accuracy	Segments	Branch
86.2%	3	`J`
83.3%	5	`U`
84.7%	5	`K`
86.7%	5	`(cos.f64 (/.f64 K 2))`
84.7%	5	`(/.f64 K 2)`
89.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
89.7%	3	`l`

Compiler

Compiled 57 to 46 computations (19.3% saved)

regimes96.0ms (0.7%)

Counts

50 → 3

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Outputs
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Calls

3 calls:

72.0ms	l
12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
89.4%	3	`l`
89.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes246.0ms (1.9%)

Counts

49 → 2

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)
(log1p.f64 (expm1.f64 U))
(log.f64 (/.f64 -3 (exp.f64 U)))

Outputs
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (.f64 J l))) U)

Calls

3 calls:

92.0ms	l
83.0ms	J
67.0ms	(cos.f64 (/.f64 K 2))

Results

Accuracy	Segments	Branch
83.2%	2	`(cos.f64 (/.f64 K 2))`
81.8%	3	`J`
82.2%	3	`l`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes61.0ms (0.5%)

Counts

46 → 2

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)

Outputs
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 2 l))) U)

Calls

1 calls:

57.0ms

(cos.f64 (/.f64 K 2))

Results

Accuracy	Segments	Branch
83.1%	2	`(cos.f64 (/.f64 K 2))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes375.0ms (2.9%)

Counts

45 → 1

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 (.f64 l (*.f64 2 J)) (cos.f64 (/.f64 K 2))) U)

Outputs
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)

Calls

6 calls:

179.0ms	l
61.0ms	(/.f64 K 2)
60.0ms	K
28.0ms	J
24.0ms	U

Results

Accuracy	Segments	Branch
75.6%	1	`U`
75.6%	1	`K`
75.6%	1	`(/.f64 K 2)`
75.6%	1	`J`
77.3%	3	`l`
75.6%	1	`(cos.f64 (/.f64 K 2))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes117.0ms (0.9%)

Counts

43 → 1

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 (.f64 J (.f64 (.f64 l 2) (cos.f64 (.f64 1/2 K)))) U)

Outputs
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)

Calls

5 calls:

26.0ms	(/.f64 K 2)
23.0ms	U
23.0ms	J
23.0ms	K
18.0ms	(cos.f64 (/.f64 K 2))

Results

Accuracy	Segments	Branch
75.6%	1	`U`
75.6%	1	`J`
75.6%	1	`(cos.f64 (/.f64 K 2))`
75.6%	1	`K`
75.6%	1	`(/.f64 K 2)`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes209.0ms (1.6%)

Counts

41 → 1

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)
(fma.f64 J (*.f64 l 2) U)
(-.f64 (.f64 -4 (cos.f64 (.f64 K -4))) U)
(fma.f64 U (+.f64 4/9 (*.f64 U -16/27)) -1/3)
(-.f64 (/.f64 3/16 (pow.f64 U 2)) (/.f64 1/4 U))
(+.f64 (.f64 (.f64 J -4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J -1/2) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 1/4) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 (.f64 J 8) (cos.f64 (/.f64 K 2))) U)
(+.f64 (.f64 J (+.f64 (.f64 (pow.f64 K 2) 1/16) -1/2)) U)

Outputs
(fma.f64 J (*.f64 l 2) U)

Calls

6 calls:

64.0ms	(/.f64 K 2)
59.0ms	l
22.0ms	K
21.0ms	J
21.0ms	U

Results

Accuracy	Segments	Branch
65.7%	3	`l`
63.9%	1	`J`
63.9%	1	`U`
63.9%	1	`(cos.f64 (/.f64 K 2))`
63.9%	1	`K`
63.9%	1	`(/.f64 K 2)`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes53.0ms (0.4%)

Counts

32 → 1

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(/.f64 1 (+.f64 (*.f64 U -4) -3))
(+.f64 (.f64 U (+.f64 4/9 (.f64 U (+.f64 -16/27 (*.f64 U 64/81))))) -1/3)
(cbrt.f64 U)
(sqrt.f64 U)
(pow.f64 U -19683)
(pow.f64 U -4)
(pow.f64 U -3)
(fma.f64 U -3 -4)

Outputs
(+.f64 (.f64 l (.f64 2 J)) U)

Calls

3 calls:

18.0ms	J
17.0ms	K
16.0ms	U

Results

Accuracy	Segments	Branch
63.9%	1	`J`
63.9%	1	`U`
63.9%	1	`K`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes78.0ms (0.6%)

Counts

23 → 3

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)
(*.f64 U U)
(+.f64 1/4 U)
(+.f64 3/4 U)
(+.f64 81 U)
(+.f64 U -19683)
(+.f64 U 387420489)
(-.f64 -4 U)
(-.f64 16 U)
(/.f64 -19683 U)
(/.f64 -3 U)
(/.f64 -1/4 U)
(+.f64 (*.f64 J -1/2) U)
(+.f64 (*.f64 J 1/4) U)
(+.f64 (*.f64 J 8) U)
(-.f64 (*.f64 J -4) U)
(-.f64 (/.f64 -4 U) U)

Outputs
(*.f64 U U)
U
(*.f64 U U)

Calls

4 calls:

36.0ms	l
14.0ms	J
13.0ms	U
13.0ms	K

Results

Accuracy	Segments	Branch
48.4%	3	`l`
42.6%	1	`J`
42.6%	1	`U`
42.6%	1	`K`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
-1/3
1
U
(neg.f64 U)
(*.f64 5 U)
(*.f64 U -19683)
(*.f64 U -3)

Outputs
U

Calls

2 calls:

8.0ms	l
5.0ms	J

Results

Accuracy	Segments	Branch
42.6%	1	`J`
42.6%	1	`l`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes18.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-1/3
1

Outputs
1

Calls

4 calls:

8.0ms	U
3.0ms	J
3.0ms	l
3.0ms	K

Results

Accuracy	Segments	Branch
3.0%	1	`l`
3.0%	1	`K`
3.0%	1	`U`
3.0%	1	`J`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/3

Outputs
-1/3

Calls

4 calls:

3.0ms	J
3.0ms	l
3.0ms	U
3.0ms	K

Results

Accuracy	Segments	Branch
2.8%	1	`J`
2.8%	1	`U`
2.8%	1	`K`
2.8%	1	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0002948484593205958	0.012467348599507821
0.0ms	-inf	0.0

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch100.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	5.559651738097404e+50	9.483988619493747e+52
36.0ms	0.0001474242291262649	0.006233633928384851
42.0ms	-186097203706329.66	-7.318840564426682e-18

Results

54.0ms	270×	256	valid
22.0ms	129×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 992 to 768 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

Operation ival-cos, time spent: 10.0ms, 26.0% of total-time

Operation ival-exp, time spent: 9.0ms, 23.0% of total-time

Operation ival-add, time spent: 6.0ms, 15.0% of total-time

Operation ival-mult, time spent: 6.0ms, 15.0% of total-time

Operation ival-div, time spent: 3.0ms, 8.0% of total-time

Operation ival-sub, time spent: 2.0ms, 5.0% of total-time

Operation ival-neg, time spent: 2.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch109.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	5.559651738097404e+50	9.483988619493747e+52
26.0ms	1.7595524725086027e-6	3.388676910145544e-5
47.0ms	-186097203706329.66	-7.318840564426682e-18

Results

55.0ms	266×	256	valid
42.0ms	133×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 884 to 678 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation ival-cos, time spent: 24.0ms, 50.0% of total-time

Operation ival-exp, time spent: 8.0ms, 17.0% of total-time

Operation ival-mult, time spent: 6.0ms, 12.0% of total-time

Operation ival-div, time spent: 3.0ms, 6.0% of total-time

Operation ival-sub, time spent: 2.0ms, 4.0% of total-time

Operation ival-add, time spent: 2.0ms, 4.0% of total-time

Operation ival-neg, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch67.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.7595524725086027e-6	3.388676910145544e-5
41.0ms	-186097203706329.66	-7.318840564426682e-18

Results

40.0ms	200×	256	valid
16.0ms	87×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 580 to 441 computations (24% saved)

Precisions

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

Operation ival-cos, time spent: 8.0ms, 27.0% of total-time

Operation ival-exp, time spent: 7.0ms, 24.0% of total-time

Operation ival-add, time spent: 5.0ms, 17.0% of total-time

Operation ival-mult, time spent: 4.0ms, 14.0% of total-time

Operation ival-sub, time spent: 2.0ms, 7.0% of total-time

Operation ival-div, time spent: 2.0ms, 7.0% of total-time

Operation ival-neg, time spent: 1.0ms, 3.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.306805932746964e+206	+inf
0.0ms	-1.6896461071952154e+201	-5.786669500221828e-50

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04507667772558332	0.04762650789461348

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04507667772558332	0.04762650789461348

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	0.7149485398392137	29209.15164366292
29.0ms	-7.318840564426682e-18	-2.3428439139823696e-21

Results

39.0ms	203×	256	valid
10.0ms	52×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 250 to 196 computations (21.6% saved)

Precisions

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

Operation ival-exp, time spent: 6.0ms, 26.0% of total-time

Operation ival-cos, time spent: 6.0ms, 26.0% of total-time

Operation ival-mult, time spent: 4.0ms, 18.0% of total-time

Operation ival-sub, time spent: 2.0ms, 9.0% of total-time

Operation ival-div, time spent: 2.0ms, 9.0% of total-time

Operation ival-add, time spent: 1.0ms, 4.0% of total-time

Operation ival-neg, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative`
30×	`+-commutative`
6×	`sub-neg`
6×	`if-if-or-not`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1453
1	171	1453
2	176	1453
3	179	1453
4	180	1453

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -inf.0) (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1152921504606847/2305843009213693952) (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U) (+.f64 (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)))
(if (<=.f64 l -5) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 l 7148113328562451/1152921504606846976) (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U) (if (<=.f64 l 93999999999999999362769175389993029787400593542742016) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U))))
(if (<=.f64 l -7656119366529843/2251799813685248) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (if (<=.f64 l 69999999999999999525466407205313958352319590936084480) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) (+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U))))
(if (<=.f64 l -380) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) 500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 (.f64 (.f64 l (.f64 2 J)) (cos.f64 (/.f64 K 2))) U) (+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) U))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 (.f64 (.f64 l (.f64 2 J)) (cos.f64 (/.f64 K 2))) U) (+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) U))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(fma.f64 J (*.f64 l 2) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(if (<=.f64 l -4673067172681345/649037107316853453566312041152512) (.f64 U U) (if (<=.f64 l 520) U (.f64 U U)))
U
1
-1/3

Outputs
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -inf.0) (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1152921504606847/2305843009213693952) (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U) (+.f64 (.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)))
(if (or (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) -inf.0) (not (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 1152921504606847/2305843009213693952))) (+.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (/.f64 K 2))) U) (+.f64 U (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 l 2))))))
(if (<=.f64 l -5) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 l 7148113328562451/1152921504606846976) (+.f64 (.f64 J (.f64 (cos.f64 (.f64 1/2 K)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l)))) U) (if (<=.f64 l 93999999999999999362769175389993029787400593542742016) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U))))
(if (<=.f64 l -5) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (.f64 1/60 (pow.f64 l 5))))) (if (<=.f64 l 7148113328562451/1152921504606846976) (+.f64 U (.f64 J (.f64 (cos.f64 (.f64 K 1/2)) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 l 2))))) (if (<=.f64 l 93999999999999999362769175389993029787400593542742016) (+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (.f64 1/60 (pow.f64 l 5))))))))
(if (<=.f64 l -7656119366529843/2251799813685248) (+.f64 (.f64 (.f64 J (.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (if (<=.f64 l 69999999999999999525466407205313958352319590936084480) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) (+.f64 (.f64 (.f64 J (*.f64 1/60 (pow.f64 l 5))) (cos.f64 (/.f64 K 2))) U))))
(if (<=.f64 l -7656119366529843/2251799813685248) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (.f64 1/60 (pow.f64 l 5))))) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (if (<=.f64 l 69999999999999999525466407205313958352319590936084480) (+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (*.f64 1/60 (pow.f64 l 5))))))))
(if (<=.f64 l -380) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (+.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)))
(if (<=.f64 l -380) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (if (<=.f64 l 2434970217729661/73786976294838206464) (+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2)))) (+.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) 500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(if (or (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) -1000000000000000037718785293056550291741793714171007924670336578563554653884390444993619046236149589293075414109087389699655531583234914810756005630018925423128793192791080866922220799992003324610084864) (not (<=.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) 500000000000000019446788775544194215653686246476010066671511910038456471446924483815399828039388506936632301559706066456765853057047187808270091836106344701772172931313084717722832279038279731096611203317760))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (*.f64 J 2)))))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 (.f64 (.f64 l (.f64 2 J)) (cos.f64 (/.f64 K 2))) U) (+.f64 (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 J l))) U))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 l (.f64 J 2)))) (+.f64 U (+.f64 (.f64 1/3 (.f64 J (pow.f64 l 3))) (.f64 2 (*.f64 l J)))))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 (.f64 (.f64 l (.f64 2 J)) (cos.f64 (/.f64 K 2))) U) (+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 2 l))) U))
(if (<=.f64 (cos.f64 (/.f64 K 2)) 3314649325744685/72057594037927936) (+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 l (.f64 J 2)))) (+.f64 U (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 l 2)))))
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) (.f64 2 J))) U)
(+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K 1/2)) (.f64 J 2))))
(+.f64 (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 1/2 K))))) U)
(+.f64 U (.f64 2 (.f64 J (.f64 l (cos.f64 (.f64 K 1/2))))))
(fma.f64 J (*.f64 l 2) U)
(+.f64 (.f64 l (.f64 2 J)) U)
(+.f64 U (.f64 l (.f64 J 2)))
(if (<=.f64 l -4673067172681345/649037107316853453566312041152512) (.f64 U U) (if (<=.f64 l 520) U (.f64 U U)))
(if (or (<=.f64 l -4673067172681345/649037107316853453566312041152512) (not (<=.f64 l 520))) (*.f64 U U) U)
U
1
-1/3

Compiler

Compiled 442 to 301 computations (31.9% saved)

soundness1.2s (9.7%)

Rules

1950×	`fma-define`
1766×	`times-frac`
1766×	`times-frac`
1630×	`fma-neg`
1630×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	255	7706
1	657	7137
2	2378	6854
3	5328	6846
0	22	89
1	299	89
2	4922	89
0	173	6658
1	392	6482
2	953	6075
3	3087	5793
4	5662	5790
0	22	89
1	299	89
2	4922	89
0	173	6658
1	392	6482
2	953	6075
3	3087	5793
4	5662	5790
0	22	89
1	299	89
2	4922	89
0	173	6658
1	392	6482
2	953	6075
3	3087	5793
4	5662	5790
0	215	11912
1	517	11446
2	1533	11054
3	5963	10852
0	173	6658
1	392	6482
2	953	6075
3	3087	5793
4	5662	5790
0	255	7706
1	657	7137
2	2378	6854
3	5328	6846

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	unsound
1×	node limit
1×	unsound
1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 646 to 446 computations (31% saved)

end1.0ms (0%)

preprocess210.0ms (1.6%)

Remove: (abs K)
Compiler: Compiled 1706 to 1018 computations (40.3% saved)

analyze0.0ms (0%)

sample2.5s (19.3%)

preprocess551.0ms (4.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize238.0ms (1.8%)

series36.0ms (0.3%)

rewrite154.0ms (1.2%)

simplify136.0ms (1.1%)

eval74.0ms (0.6%)

prune60.0ms (0.5%)

localize2.1s (16.5%)

series28.0ms (0.2%)

rewrite156.0ms (1.2%)

simplify138.0ms (1.1%)

eval81.0ms (0.6%)

prune50.0ms (0.4%)

localize454.0ms (3.5%)

eval0.0ms (0%)

prune25.0ms (0.2%)

localize533.0ms (4.1%)

series65.0ms (0.5%)

rewrite58.0ms (0.5%)

simplify176.0ms (1.4%)

eval99.0ms (0.8%)

prune85.0ms (0.7%)

regimes584.0ms (4.5%)

regimes431.0ms (3.3%)

regimes118.0ms (0.9%)

regimes826.0ms (6.4%)

regimes96.0ms (0.7%)

regimes246.0ms (1.9%)

regimes61.0ms (0.5%)

regimes375.0ms (2.9%)

regimes117.0ms (0.9%)

regimes209.0ms (1.6%)

regimes53.0ms (0.4%)

regimes78.0ms (0.6%)

regimes14.0ms (0.1%)

regimes18.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch1.0ms (0%)

bsearch100.0ms (0.8%)

bsearch109.0ms (0.8%)

bsearch67.0ms (0.5%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch59.0ms (0.5%)

simplify33.0ms (0.3%)

soundness1.2s (9.7%)

end1.0ms (0%)

preprocess210.0ms (1.6%)

Profiling