Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

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 17 to 16 computations (5.9% saved)

sample1.8s (58.6%)

Memory

77.8MiB live, 2 121.8MiB allocated

Samples

687.0ms	1 863×	1	valid
680.0ms	6 393×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 416.0ms (37.5% of total)

ival-cos: 291.0ms (26.2% of total)

ival-mult: 129.0ms (11.6% of total)

ival-div: 63.0ms (5.7% of total)

ival-add: 54.0ms (4.9% of total)

ival-sub: 53.0ms (4.8% of total)

adjust: 53.0ms (4.8% of total)

ival-neg: 35.0ms (3.2% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain277.0ms (9.2%)

Memory

-39.4MiB live, 454.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	135	(6.322898763244336e-41 -4.1262726007320756e+241 -1.4736621206546837e+238 1.459044830727883e-269)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	1	(-1.50298393666487e+37 113.2301733485463 6.196425610673756e-103 3.7390467513920694e-224)	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	135
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	45
`exp.f64`	`(exp.f64 (neg.f64 l))`	sensitivity	1

Confusion

	Predicted +	Predicted -
+	40	0
-	113	103

Precision

0.26143790849673204

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	113	0	103

Precision?

0.26143790849673204

Recall?

1.0

Freqs

test

number	freq
0	103
1	125
2	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms	198×	1	valid
38.0ms	268×	0	valid
27.0ms	46×	2	valid

Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-exp: 51.0ms (45.4% of total)

ival-cos: 24.0ms (21.4% of total)

ival-div: 10.0ms (8.9% of total)

ival-mult: 9.0ms (8% of total)

adjust: 7.0ms (6.2% of total)

ival-sub: 4.0ms (3.6% of total)

ival-add: 4.0ms (3.6% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess4.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize79.0ms (2.6%)

Memory

-19.8MiB live, 137.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 l)
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.078125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

34.0ms	99×	1	valid
17.0ms	134×	0	valid
16.0ms	23×	2	valid

Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions

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

ival-exp: 24.0ms (48.1% of total)

ival-cos: 11.0ms (22% of total)

ival-mult: 5.0ms (10% of total)

adjust: 3.0ms (6% of total)

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

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

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

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.6%)

Memory

36.6MiB live, 36.6MiB allocated

Counts

6 → 44

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	K	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	l	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))

simplify1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Counts

44 → 6

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Outputs
U
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(exp.f64 l)

rewrite2.0ms (0.1%)

Memory

-37.7MiB live, 1.1MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)

eval1.0ms (0%)

Memory: 3.1MiB live, 3.1MiB allocated
Compiler: Compiled 234 to 33 computations (85.9% saved)

prune3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	7	5	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	8	5	13

Accuracy

86.1%

Counts

13 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.3%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	73.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
▶	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶	16.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
▶	2.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Compiler

Compiled 226 to 194 computations (14.2% saved)

simplify1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(/.f64 K #s(literal 2 binary64))
cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	(exp.f64 l)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(exp.f64 l)
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(exp.f64 l)
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)

localize99.0ms (3.3%)

Memory

0.6MiB live, 155.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.078125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.078125	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	46.77672987107728	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.0	(/.f64 K #s(literal 2 binary64))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	62.34596012082547	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.0	(exp.f64 l)
accuracy	53.625319292194995	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
accuracy	0.0	(exp.f64 (neg.f64 l))
accuracy	0.0	(exp.f64 l)
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

42.0ms	99×	1	valid
19.0ms	134×	0	valid
13.0ms	23×	2	valid

Compiler

Compiled 491 to 47 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-exp: 25.0ms (51.4% of total)

ival-cos: 9.0ms (18.5% of total)

ival-mult: 5.0ms (10.3% of total)

adjust: 3.0ms (6.2% of total)

ival-sub: 2.0ms (4.1% of total)

ival-div: 2.0ms (4.1% of total)

ival-add: 2.0ms (4.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory

27.4MiB live, 27.4MiB allocated

Counts

15 → 50

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(exp.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 (neg.f64 l))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (exp (neg l)))
(exp l)
(exp (neg l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/2 K)
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos (/ K 2)) (/ K 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
1.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos (/ K 2)) (/ K 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
1.0ms	J	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos (/ K 2)) (/ K 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos (/ K 2)) (/ K 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))
1.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos (/ K 2)) (/ K 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (exp (neg l)))

simplify1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Counts

50 → 15

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(- (exp l) (exp (neg l)))
(exp l)
(exp (neg l))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/2 K)
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Outputs
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(exp.f64 l)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(/.f64 K #s(literal 2 binary64))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* 2 (* J l))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(exp.f64 (neg.f64 l))

rewrite4.0ms (0.1%)

Memory

-41.9MiB live, 2.2MiB allocated

Counts

15 → 15

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(exp.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 (neg.f64 l))

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
(exp.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 (neg.f64 l))

eval4.0ms (0.1%)

Memory: 9.1MiB live, 9.1MiB allocated
Compiler: Compiled 1 152 to 55 computations (95.2% saved)

prune6.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	37	9	46

Accuracy

86.2%

Counts

46 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) U)
▶	62.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
▶	33.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
▶	2.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
✓	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶	26.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓	16.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
✓	2.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
▶	39.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))

Compiler

Compiled 447 to 308 computations (31.1% saved)

simplify1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
cost-diff	0	(exp.f64 (neg.f64 l))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
cost-diff	0	(/.f64 K #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)

localize99.0ms (3.3%)

Memory

-16.6MiB live, 183.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	46.77672987107728	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.0	(exp.f64 l)
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	0.0	(neg.f64 l)
accuracy	0.0	(exp.f64 (neg.f64 l))
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
accuracy	56.768125349113916	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
accuracy	0.0	(/.f64 K #s(literal 2 binary64))
accuracy	62.238503764700575	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
accuracy	0.0	(exp.f64 l)
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	46.77672987107728	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Samples

44.0ms	99×	1	valid
20.0ms	134×	0	valid
15.0ms	23×	2	valid

Compiler

Compiled 590 to 49 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-exp: 28.0ms (50.6% of total)

ival-cos: 10.0ms (18.1% of total)

ival-mult: 5.0ms (9% of total)

ival-sub: 4.0ms (7.2% of total)

adjust: 3.0ms (5.4% of total)

ival-div: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.5%)

Memory

-4.8MiB live, 34.2MiB allocated

Counts

17 → 47

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 l)
(neg.f64 l)

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(* -1 l)
(- (exp l) (exp (neg l)))
(exp (neg l))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* 1/2 K)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Calls

12 calls:

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

simplify1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Counts

47 → 17

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
1
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(* -1 l)
(- (exp l) (exp (neg l)))
(exp (neg l))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(exp (* -1 l))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* 1/2 K)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Outputs
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(/.f64 K #s(literal 2 binary64))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(exp.f64 (neg.f64 l))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 2 (* J l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(exp.f64 l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(neg.f64 l)

rewrite1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

17 → 17

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 l)
(neg.f64 l)

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(exp.f64 l)
(neg.f64 l)

eval4.0ms (0.1%)

Memory: 9.8MiB live, 9.8MiB allocated
Compiler: Compiled 1 627 to 66 computations (95.9% saved)

prune8.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	42	13	55

Accuracy

86.2%

Counts

55 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) U)
✓	62.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
▶	33.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
▶	37.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
✓	2.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
✓	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
▶	3.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
	13.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓	16.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
✓	2.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	39.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
▶	28.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
▶	12.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))

Compiler

Compiled 641 to 398 computations (37.9% saved)

simplify1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
cost-diff	0	(neg.f64 l)
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
cost-diff	0	(exp.f64 (neg.f64 l))
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
cost-diff	0	(neg.f64 l)
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
cost-diff	0	(exp.f64 l)
cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(exp.f64 l)
l
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(exp.f64 l)
l
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)

localize100.0ms (3.3%)

Memory

-12.4MiB live, 139.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	46.77672987107728	#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.078125	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
accuracy	61.560819620953474	#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
accuracy	0.0	(exp.f64 (neg.f64 l))
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
accuracy	21.69148821884076	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
accuracy	56.768125349113916	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
accuracy	0.0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
accuracy	0.0	(neg.f64 l)
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
accuracy	61.560819620953474	#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
accuracy	0.0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
accuracy	0.0	(exp.f64 l)
accuracy	20.555962943251412	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
accuracy	55.55408596084299	#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))

Samples

42.0ms	99×	1	valid
24.0ms	134×	0	valid
13.0ms	23×	2	valid

Compiler

Compiled 616 to 51 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-exp: 28.0ms (49.5% of total)

ival-cos: 9.0ms (15.9% of total)

adjust: 8.0ms (14.1% of total)

ival-mult: 5.0ms (8.8% of total)

ival-sub: 2.0ms (3.5% of total)

ival-div: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.5%)

Memory

-9.7MiB live, 28.7MiB allocated

Counts

19 → 50

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(exp.f64 l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(* -1 l)
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(exp l)
(exp (neg l))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(exp (* -1 l))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	U	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (neg l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp (neg l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
2.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (neg l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp (neg l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (neg l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp (neg l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	l	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (neg l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp (neg l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (neg l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (exp (neg l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)))

simplify1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Counts

50 → 19

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(* -1 l)
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(exp l)
(exp (neg l))
(- (exp l) (exp (neg l)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(exp (* -1 l))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Outputs
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(* J (- (exp l) (exp (neg l))))
(exp.f64 l)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(neg.f64 l)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(exp.f64 (neg.f64 l))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* 2 (* J l))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ 1 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))

rewrite1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

19 → 19

Calls

Call 1

Inputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(exp.f64 l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))

Outputs
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))
(exp.f64 l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l)))
#s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))
(neg.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))
#s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(cos.f64 (/.f64 K #s(literal 2 binary64)))

eval4.0ms (0.1%)

Memory: 8.0MiB live, 8.0MiB allocated
Compiler: Compiled 1 640 to 77 computations (95.3% saved)

prune11.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated

Pruning

16 alts after pruning (5 fresh and 11 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	40	16	56

Accuracy

86.3%

Counts

56 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) U)
✓	62.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
✓	33.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
✓	37.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
✓	2.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
✓	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓	3.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
	13.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
	3.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
✓	16.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
✓	2.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	39.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
✓	28.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
	28.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))))
	15.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (neg.f64 l))))))
✓	12.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))

Compiler

Compiled 1 161 to 385 computations (66.8% saved)

regimes66.0ms (2.2%)

Memory

-5.5MiB live, 115.7MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Calls

10 calls:

10.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	K
8.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
6.0ms	J
6.0ms	U

Results

Accuracy	Segments	Branch
85.8%	1	`J`
85.8%	1	`l`
85.8%	1	`K`
85.8%	1	`U`
85.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
85.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
85.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
85.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
85.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
85.8%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes60.0ms (2%)

Memory

-10.2MiB live, 150.6MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)) U)

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

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

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

Calls

10 calls:

8.0ms	K
7.0ms	l
7.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	U
6.0ms	J

Results

Accuracy	Segments	Branch
77.9%	2	`J`
85.3%	3	`l`
73.6%	1	`U`
85.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
85.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
85.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
85.3%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
75.9%	2	`K`
80.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
75.9%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes40.0ms (1.3%)

Memory

-72.5MiB live, 68.1MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 #s(approx (exp l) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (exp.f64 (neg.f64 l))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

6 calls:

14.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms	l
5.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
80.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.6%	1	`l`
73.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
73.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 47 to 55 computations (-17% saved)

regimes39.0ms (1.3%)

Memory

-9.8MiB live, 68.1MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))

Outputs

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

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

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

Calls

10 calls:

5.0ms	K
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	U
4.0ms	J
4.0ms	l

Results

Accuracy	Segments	Branch
62.7%	1	`U`
73.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.5%	3	`l`
72.8%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.5%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
62.7%	1	`K`
62.7%	1	`(/.f64 K #s(literal 2 binary64))`
64.7%	2	`J`
62.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes20.0ms (0.7%)

Memory

35.0MiB live, 35.0MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)

Outputs

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

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

Calls

6 calls:

4.0ms	J
4.0ms	l
3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
64.6%	2	`J`
62.7%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
62.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
62.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
62.7%	1	`l`
62.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 44 to 52 computations (-18.2% saved)

regimes35.0ms (1.2%)

Memory

-22.2MiB live, 57.0MiB allocated

Counts

10 → 4

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))

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

Calls

10 calls:

5.0ms	l
4.0ms	J
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	U
3.0ms	K

Results

Accuracy	Segments	Branch
59.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
40.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
61.2%	4	`l`
49.2%	4	`U`
59.5%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
59.5%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
59.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
37.2%	1	`K`
37.2%	1	`(/.f64 K #s(literal 2 binary64))`
46.5%	5	`J`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes15.0ms (0.5%)

Memory

-6.5MiB live, 32.5MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (neg.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))

Outputs

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

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

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

Calls

5 calls:

3.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
3.0ms	l
3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
46.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
56.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
47.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
47.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
56.1%	3	`l`

Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))))

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.1%	3	`l`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))

Outputs

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

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

Calls

4 calls:

2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
1.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
47.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
47.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
46.9%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
46.9%	2	`l`

Compiler

Compiled 35 to 39 computations (-11.4% saved)

regimes18.0ms (0.6%)

Memory

-1.2MiB live, 37.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 K #s(literal 2 binary64)))

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

Calls

10 calls:

3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
2.0ms	K
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	U
2.0ms	l

Results

Accuracy	Segments	Branch
33.7%	1	`K`
33.7%	1	`(/.f64 K #s(literal 2 binary64))`
33.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
33.7%	1	`J`
33.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
33.7%	1	`U`
33.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
33.7%	1	`l`
33.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
33.7%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes13.0ms (0.4%)

Memory

-6.2MiB live, 32.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

2.0ms	J
1.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	U

Results

Accuracy	Segments	Branch
3.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
3.0%	1	`K`
3.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
3.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
3.0%	1	`(/.f64 K #s(literal 2 binary64))`
3.0%	1	`J`
3.0%	1	`l`
3.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
3.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
3.0%	1	`U`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.656617859152075e+126	2.1335764359231262e+286
0.0ms	-3.026668383950859e+262	-7.769806871238866e+156

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.019594442735702298	0.05821244760950576

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0023936689953483192	1.4970609087807274e+49
0.0ms	-0.0026276969970873143	-2.2860691117898568e-10

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch29.0ms (0.9%)

Memory

6.8MiB live, 48.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-1.50298393666487e+37	-4.5441664720465496e+32

Samples

11.0ms	98×	0	valid
10.0ms	30×	1	valid

Compiler

Compiled 490 to 341 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 6.0ms (35.6% of total)

ival-cos: 5.0ms (29.7% of total)

ival-mult: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

ival-div: 1.0ms (5.9% of total)

adjust: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch56.0ms (1.8%)

Memory

9.2MiB live, 86.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
22.0ms	4527994107281.745	1.6803216749187576e+27
24.0ms	-1.2904660472690722e+20	-19966.994576736888
4.0ms	-8.864973638114095e+75	-3.896092455366383e+68

Samples

37.0ms

352×

valid

Compiler

Compiled 1 422 to 845 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 7.0ms (26.1% of total)

ival-cos: 7.0ms (26.1% of total)

ival-mult: 6.0ms (22.4% of total)

ival-div: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

ival-sub: 2.0ms (7.5% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory

-34.0MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	4527994107281.745	1.6803216749187576e+27
1.0ms	-1.2904660472690722e+20	-19966.994576736888

Compiler

Compiled 1 248 to 761 computations (39% saved)

bsearch2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4527994107281.745	1.6803216749187576e+27
1.0ms	-1.2904660472690722e+20	-19966.994576736888

Compiler

Compiled 1 158 to 751 computations (35.1% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.306941234863036e+306	+inf

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify6.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))
(if (<=.f64 J #s(literal -21000000000000001739383612245016576 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U))
(if (<=.f64 l #s(literal -999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U))))
(if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)))
(if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -20000000000000000323456785900191669561923454243064936219351155259210830706007157687226704499288107285763810660663679263023264344934985834790648308005091295168868698197129205191161878464985997761417827125414132937520722989422036627287210875071738030889333260550144 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1152921504606847/288230376151711744 binary64)) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))))))
(if (<=.f64 J #s(literal -21000000000000001739383612245016576 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l)))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U))
(if (<=.f64 l #s(literal -999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))) (if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U))))
(if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 l))) U)))
(if (<=.f64 l #s(literal -20000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (exp.f64 (neg.f64 l))))) (if (<=.f64 l #s(literal 4600000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (exp.f64 l)))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* J (- (exp l) (exp (neg l)))) (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (neg.f64 l))

soundness3.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 839 to 76 computations (90.9% saved)

preprocess54.0ms (1.8%)

Memory: 3.3MiB live, 121.6MiB allocated
Compiler: Compiled 1 708 to 180 computations (89.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (58.6%)

explain277.0ms (9.2%)

preprocess4.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize79.0ms (2.6%)

series17.0ms (0.6%)

simplify1.0ms (0%)

rewrite2.0ms (0.1%)

eval1.0ms (0%)

prune3.0ms (0.1%)

simplify1.0ms (0%)

localize99.0ms (3.3%)

series13.0ms (0.4%)

simplify1.0ms (0%)

rewrite4.0ms (0.1%)

eval4.0ms (0.1%)

prune6.0ms (0.2%)

simplify1.0ms (0%)

localize99.0ms (3.3%)

series15.0ms (0.5%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval4.0ms (0.1%)

prune8.0ms (0.3%)

simplify1.0ms (0%)

localize100.0ms (3.3%)

series16.0ms (0.5%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval4.0ms (0.1%)

prune11.0ms (0.4%)

regimes66.0ms (2.2%)

regimes60.0ms (2%)

regimes40.0ms (1.3%)

regimes39.0ms (1.3%)

regimes20.0ms (0.7%)

regimes35.0ms (1.2%)

regimes15.0ms (0.5%)

regimes3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes18.0ms (0.6%)

regimes13.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch29.0ms (0.9%)

bsearch56.0ms (1.8%)

bsearch4.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

soundness3.0ms (0.1%)

preprocess54.0ms (1.8%)

end0.0ms (0%)

Profiling