Metrics for ab-angle->ABCF C

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 23 to 12 computations (47.8% saved)

sample1.5s (55.6%)

Memory

54.2MiB live, 1 248.0MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sinu: 452.0ms (45.2% of total)

ival-cosu: 212.0ms (21.2% of total)

ival-pow2: 174.0ms (17.4% of total)

ival-mult: 116.0ms (11.6% of total)

ival-add: 36.0ms (3.6% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

explain247.0ms (9.2%)

Memory

-4.1MiB live, 307.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	0	-	`(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))`
123	-	0	-	`(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))`
1	-	1	(-6.6236670837266825e+255 4.188184698450465e+249 2.860005577086827e-308)	`(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))`
0	-	0	-	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 angle #s(literal 180 binary64))`
0	-	0	-	`(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 180 binary64)`
0	-	0	-	`angle`
0	-	0	-	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`b`
0	-	0	-	`(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))`
0	-	0	-	`(PI.f64)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))`	sensitivity	123	1
`sin.f64`	`(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))`	sensitivity	123	1

Confusion

	Predicted +	Predicted -
+	58	0
-	65	133

Precision

0.4715447154471545

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	58	0	0
-	65	1	132

Precision?

0.46774193548387094

Recall?

1.0

Freqs

test

number	freq
0	133
2	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 274 to 64 computations (76.6% saved)

Precisions

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

ival-pow2: 15.0ms (24.3% of total)

ival-cosu: 13.0ms (21% of total)

ival-sinu: 13.0ms (21% of total)

ival-mult: 11.0ms (17.8% of total)

ival-div: 5.0ms (8.1% of total)

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

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

ival-true: 1.0ms (1.6% of total)

exact: 1.0ms (1.6% of total)

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

preprocess3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs

(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Status

Accuracy

Program

▶

81.5%

(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
cost-diff	0	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

Outputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

localize57.0ms (2.1%)

Memory

-13.8MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.192374716849389	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

Samples

43.0ms

256×

valid

Compiler

Compiled 168 to 32 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sinu: 12.0ms (36.9% of total)

ival-cosu: 6.0ms (18.4% of total)

ival-mult: 5.0ms (15.4% of total)

ival-pow2: 5.0ms (15.4% of total)

ival-div: 2.0ms (6.1% of total)

ival-pi: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (1%)

Memory

-1.8MiB live, 35.3MiB allocated

Counts

7 → 32

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	angle	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* b (sin (* (PI) (/ angle 180)))))
4.0ms	angle	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* b (sin (* (PI) (/ angle 180)))))
3.0ms	a	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	a	@	inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	angle	@	inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (* b (sin (* (PI) (/ angle 180)))))

simplify1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	egg-herbie

Counts

32 → 7

Calls

Call 1

Inputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(* a (cos (* 1/180 (* angle (PI)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* b (sin (* 1/180 (* angle (PI)))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

rewrite0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

Outputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

eval2.0ms (0.1%)

Memory: 3.3MiB live, 3.3MiB allocated
Compiler: Compiled 386 to 39 computations (89.9% saved)

prune4.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	6	16

Accuracy

81.6%

Counts

16 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	56.4%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
▶	27.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	59.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	5.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
▶	2.8%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

Compiler

Compiled 315 to 235 computations (25.4% saved)

simplify2.0ms (0.1%)

Memory

2.7MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
cost-diff	0	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
cost-diff	0	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
cost-diff	0	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
cost-diff	0	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(literal 2 binary64)

Outputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(literal 2 binary64)

localize73.0ms (2.7%)

Memory

22.2MiB live, 97.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
accuracy	0.16082001953688402	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.659503682653934	#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	0.192374716849389	(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	60.251469577649154	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
accuracy	0.0	(PI.f64)
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	62.1299835061619	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	0.140625	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	20.676825297838235	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

Samples

46.0ms

256×

valid

Compiler

Compiled 669 to 51 computations (92.4% saved)

Precisions

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

ival-cosu: 7.0ms (26.3% of total)

ival-sinu: 6.0ms (22.6% of total)

ival-mult: 5.0ms (18.8% of total)

ival-pow2: 5.0ms (18.8% of total)

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

ival-pi: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (1%)

Memory

-38.3MiB live, 26.9MiB allocated

Counts

15 → 36

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	a	@	inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (* b (sin (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2))
2.0ms	a	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (* b (sin (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2))
2.0ms	a	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (* b (sin (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2))
2.0ms	b	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (* b (sin (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2))
2.0ms	b	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (* b (sin (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2))

simplify1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Counts

36 → 15

Calls

Call 1

Inputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(* a (cos (* 1/180 (* angle (PI)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(* b (sin (* 1/180 (* angle (PI)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(pow a 2)
(PI.f64)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
a
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))

rewrite1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Counts

15 → 15

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))

Outputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))

eval5.0ms (0.2%)

Memory: 9.6MiB live, 9.6MiB allocated
Compiler: Compiled 1 959 to 67 computations (96.6% saved)

prune13.0ms (0.5%)

Memory

-20.3MiB live, 18.6MiB allocated

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	47	15	62

Accuracy

81.6%

Counts

62 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	23.0%	(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
✓	27.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	3.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	14.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
▶	34.3%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	24.3%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
✓	59.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	24.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
▶	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	3.1%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
✓	5.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
✓	2.8%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
▶	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
▶	3.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))

Compiler

Compiled 913 to 557 computations (39% saved)

simplify2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	0	(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
cost-diff	0	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
cost-diff	0	(PI.f64)
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
cost-diff	0	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)

Outputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
a
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)

localize76.0ms (2.8%)

Memory

8.3MiB live, 84.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.16082001953688402	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	61.659503682653934	#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.90399229008133	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	20.676825297838235	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.88596317683398	#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	20.676825297838235	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
accuracy	27.37181816252783	(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
accuracy	0.0	(PI.f64)
accuracy	61.27087827285218	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
accuracy	61.659503682653934	#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.90399229008133	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))

Samples

55.0ms

256×

valid

Compiler

Compiled 813 to 55 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-cosu: 8.0ms (25.5% of total)

ival-sinu: 7.0ms (22.3% of total)

ival-mult: 6.0ms (19.1% of total)

ival-pow2: 6.0ms (19.1% of total)

ival-div: 2.0ms (6.4% of total)

ival-pi: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.7%)

Memory

-15.1MiB live, 25.9MiB allocated

Counts

18 → 36

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)))
2.0ms	a	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)))
2.0ms	a	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)))
2.0ms	a	@	inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)))
2.0ms	b	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (cos (* (PI) (/ angle 180))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* b (sin (* (PI) (/ angle 180)))) (sin (* (PI) (/ angle 180))) (* (PI) (/ angle 180)))

simplify1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Counts

36 → 18

Calls

Call 1

Inputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
1
(+ 1 (* -1/64800 (* (pow angle 2) (pow (PI) 2))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* 1/25194240000 (* (pow angle 2) (pow (PI) 4))))))
(+ 1 (* (pow angle 2) (+ (* -1/64800 (pow (PI) 2)) (* (pow angle 2) (+ (* -1/24488801280000000 (* (pow angle 2) (pow (PI) 6))) (* 1/25194240000 (pow (PI) 4)))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(* 1/180 (* angle (PI)))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(cos (* 1/180 (* angle (PI))))
(sin (* 1/180 (* angle (PI))))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(* a (cos (* 1/180 (* angle (PI)))))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(* b (sin (* 1/180 (* angle (PI)))))
(PI.f64)
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
(pow a 2)
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
a
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))

rewrite1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

18 → 18

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))

Outputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
(PI.f64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))

eval6.0ms (0.2%)

Memory: 9.4MiB live, 9.4MiB allocated
Compiler: Compiled 2 439 to 79 computations (96.8% saved)

prune12.0ms (0.5%)

Memory

17.4MiB live, 17.4MiB allocated

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	1	4	5
Picked	1	4	5
Done	0	5	5
Total	53	18	71

Accuracy

81.6%

Counts

71 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	17.9%	(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
✓	27.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	3.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	14.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
✓	34.3%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	24.5%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	25.7%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
✓	59.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	24.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
▶	3.1%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
✓	5.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
✓	2.8%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
	3.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
✓	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
✓	3.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
▶	17.9%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))

Compiler

Compiled 997 to 609 computations (38.9% saved)

simplify3.0ms (0.1%)

Memory

-36.1MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
cost-diff	0	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
cost-diff	0	(/.f64 angle #s(literal 180 binary64))
cost-diff	0	(PI.f64)
cost-diff	0	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
cost-diff	0	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
cost-diff	0	#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
cost-diff	0	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
cost-diff	0	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)

Outputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)
#s(literal 2 binary64)
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))
(PI.f64)
#s(literal 2 binary64)
(pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))
(.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
b
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(/.f64 angle #s(literal 180 binary64))
angle
#s(literal 180 binary64)

localize72.0ms (2.7%)

Memory

16.0MiB live, 90.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
accuracy	61.7628011175073	#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))
accuracy	61.90399229008133	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	20.676825297838235	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
accuracy	61.659503682653934	#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.90399229008133	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
accuracy	20.676825297838235	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
accuracy	61.659503682653934	#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.90399229008133	#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
accuracy	0.0	(/.f64 angle #s(literal 180 binary64))
accuracy	0.0	(PI.f64)
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	62.0345172639434	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	0.3046875	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
accuracy	27.049848645940852	(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
accuracy	61.02718818756744	#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
accuracy	61.86685557265276	#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

Samples

48.0ms

256×

valid

Compiler

Compiled 951 to 56 computations (94.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cosu: 7.0ms (24.2% of total)

ival-sinu: 6.0ms (20.7% of total)

ival-mult: 5.0ms (17.3% of total)

ival-pow2: 5.0ms (17.3% of total)

ival-pi: 3.0ms (10.4% of total)

ival-div: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series18.0ms (0.7%)

Memory

27.8MiB live, 27.8MiB allocated

Counts

20 → 32

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(* 1/180 (* angle (PI)))
(* 1/180 angle)
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(sin (* 1/180 (* angle (PI))))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (* (PI) (/ angle 180)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (/ angle 180) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (sin (* (PI) (/ angle 180))) (* b (sin (* (PI) (/ angle 180)))) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	angle	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (* (PI) (/ angle 180)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (/ angle 180) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (sin (* (PI) (/ angle 180))) (* b (sin (* (PI) (/ angle 180)))) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	angle	@	inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (* (PI) (/ angle 180)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (/ angle 180) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (sin (* (PI) (/ angle 180))) (* b (sin (* (PI) (/ angle 180)))) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	a	@	-inf	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (* (PI) (/ angle 180)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (/ angle 180) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (sin (* (PI) (/ angle 180))) (* b (sin (* (PI) (/ angle 180)))) (* b (sin (* (PI) (/ angle 180)))))
2.0ms	b	@	0	((+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (* (PI) (/ angle 180)) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI) (/ angle 180) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow (* a (cos (* (PI) (/ angle 180)))) 2) (* a (cos (* (PI) (/ angle 180)))) (pow (* b (sin (* (PI) (/ angle 180)))) 2) (sin (* (PI) (/ angle 180))) (* b (sin (* (PI) (/ angle 180)))) (* b (sin (* (PI) (/ angle 180)))))

simplify8.0ms (0.3%)

Memory

-37.8MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Counts

32 → 20

Calls

Call 1

Inputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
(* a (cos (* 1/180 (* angle (PI)))))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
(* b (sin (* 1/180 (* angle (PI)))))
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(pow a 2)
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
a
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(* 1/180 (* angle (PI)))
(* 1/180 angle)
(* 1/32400 (* (pow angle 2) (* (pow b 2) (pow (PI) 2))))
(* (pow angle 2) (+ (* -1/3149280000 (* (pow angle 2) (* (pow b 2) (pow (PI) 4)))) (* 1/32400 (* (pow b 2) (pow (PI) 2)))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))
(* (pow angle 2) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow angle 2) (+ (* (pow angle 2) (* (pow b 2) (+ (* -1/396718580736000000000 (pow (PI) 8)) (* -1/2777030065152000000000 (pow (PI) 8))))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6))))))))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (pow (PI) 3))) (* 1/180 (PI))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* 1/22674816000000 (* (pow angle 2) (pow (PI) 5)))))))
(* angle (+ (* 1/180 (PI)) (* (pow angle 2) (+ (* -1/34992000 (pow (PI) 3)) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (pow (PI) 7))) (* 1/22674816000000 (pow (PI) 5))))))))
(* 1/180 (* angle (* b (PI))))
(* angle (+ (* -1/34992000 (* (pow angle 2) (* b (pow (PI) 3)))) (* 1/180 (* b (PI)))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* 1/22674816000000 (* (pow angle 2) (* b (pow (PI) 5))))))))
(* angle (+ (* 1/180 (* b (PI))) (* (pow angle 2) (+ (* -1/34992000 (* b (pow (PI) 3))) (* (pow angle 2) (+ (* -1/30855889612800000000 (* (pow angle 2) (* b (pow (PI) 7)))) (* 1/22674816000000 (* b (pow (PI) 5)))))))))
(sin (* 1/180 (* angle (PI))))

Outputs
(* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
(* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* a (cos (* 1/180 (* angle (PI)))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
(* (pow a 2) (+ (/ (* (pow b 2) (pow (sin (* 1/180 (* angle (PI)))) 2)) (pow a 2)) (pow (cos (* 1/180 (* angle (PI)))) 2)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* b (sin (* 1/180 (* angle (PI)))))
(PI.f64)
(* (pow b 2) (+ (/ (* (pow a 2) (pow (cos (* 1/180 (* angle (PI)))) 2)) (pow b 2)) (pow (sin (* 1/180 (* angle (PI)))) 2)))
(/.f64 angle #s(literal 180 binary64))
(pow a 2)
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* 1/32400 (* (pow b 2) (pow (PI) 2))))) (pow a 2))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))))) (pow a 2))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (+ (* 1/32400 (* (pow b 2) (pow (PI) 2))) (* (pow angle 2) (+ (* -1/3149280000 (* (pow b 2) (pow (PI) 4))) (+ (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))) (* (pow angle 2) (+ (* (pow a 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6)))) (* (pow b 2) (+ (* 1/2040733440000000 (pow (PI) 6)) (* 1/1224440064000000 (pow (PI) 6)))))))))))) (pow a 2))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
(+ (* -1/32400 (* (pow a 2) (* (pow angle 2) (pow (PI) 2)))) (pow a 2))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow a 2) (* (pow angle 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4))))))) (pow a 2))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+ (* (pow angle 2) (+ (* -1/32400 (* (pow a 2) (pow (PI) 2))) (* (pow angle 2) (+ (* (pow a 2) (* (pow angle 2) (+ (* -1/816293376000000 (pow (PI) 6)) (* -1/12244400640000000 (pow (PI) 6))))) (* (pow a 2) (+ (* 1/12597120000 (pow (PI) 4)) (* 1/4199040000 (pow (PI) 4)))))))) (pow a 2))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
a
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
(+ a (* -1/64800 (* a (* (pow angle 2) (pow (PI) 2)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* 1/25194240000 (* a (* (pow angle 2) (pow (PI) 4)))))))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
(+ a (* (pow angle 2) (+ (* -1/64800 (* a (pow (PI) 2))) (* (pow angle 2) (+ (* -1/24488801280000000 (* a (* (pow angle 2) (pow (PI) 6)))) (* 1/25194240000 (* a (pow (PI) 4))))))))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* 1/180 (* angle (PI)))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(* 1/180 angle)
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))

rewrite1.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

20 → 20

Calls

Call 1

Inputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))

Outputs
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
(PI.f64)
(/.f64 angle #s(literal 180 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))))
#s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))
(pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64))
(sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))

eval7.0ms (0.2%)

Memory: 12.9MiB live, 12.9MiB allocated
Compiler: Compiled 3 145 to 99 computations (96.9% saved)

prune22.0ms (0.8%)

Memory

-10.1MiB live, 28.7MiB allocated

Pruning

25 alts after pruning (12 fresh and 13 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	4	4
Picked	1	4	5
Done	0	9	9
Total	59	25	84

Accuracy

81.8%

Counts

84 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.5%	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	17.9%	(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
	19.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
✓	27.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	3.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	14.8%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
✓	34.3%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	21.3%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
✓	25.7%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	20.2%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
	24.5%	(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
✓	59.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
✓	24.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
✓	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
	3.1%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
✓	3.1%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
✓	5.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
✓	2.8%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
	3.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
✓	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
✓	3.7%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
✓	17.9%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
	4.3%	#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))

Compiler

Compiled 2 163 to 658 computations (69.6% saved)

regimes53.0ms (2%)

Memory

0.9MiB live, 78.2MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

(+.f64 (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

6 calls:

9.0ms	angle
8.0ms	(/.f64 angle #s(literal 180 binary64))
8.0ms	b
8.0ms	a
8.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))

Results

Accuracy	Segments	Branch
81.5%	1	`a`
81.5%	1	`b`
81.5%	1	`angle`
81.5%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
81.5%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
81.5%	1	`(/.f64 angle #s(literal 180 binary64))`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes52.0ms (1.9%)

Memory

11.6MiB live, 91.0MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

6 calls:

11.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
9.0ms	b
8.0ms	a
8.0ms	(/.f64 angle #s(literal 180 binary64))
8.0ms	angle

Results

Accuracy	Segments	Branch
73.7%	3	`b`
62.3%	2	`angle`
65.4%	2	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
62.3%	2	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
62.3%	2	`(/.f64 angle #s(literal 180 binary64))`
65.4%	4	`a`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes9.0ms (0.3%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
73.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.3%)

Memory

-26.0MiB live, 12.8MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))

Outputs

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64)))

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
71.8%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (*.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (*.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
71.8%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (1%)

Memory

11.5MiB live, 50.5MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (*.f64 a (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Calls

5 calls:

6.0ms	(/.f64 angle #s(literal 180 binary64))
5.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
5.0ms	angle
5.0ms	b
5.0ms	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
62.3%	2	`angle`
62.3%	2	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
62.3%	2	`(/.f64 angle #s(literal 180 binary64))`
59.7%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
61.9%	2	`b`

Compiler

Compiled 31 to 33 computations (-6.5% saved)

regimes36.0ms (1.3%)

Memory

1.5MiB live, 43.0MiB allocated

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))

Outputs

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))

Calls

6 calls:

12.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
5.0ms	(/.f64 angle #s(literal 180 binary64))
4.0ms	b
4.0ms	angle
4.0ms	a

Results

Accuracy	Segments	Branch
24.3%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
24.3%	1	`b`
24.3%	1	`a`
24.3%	1	`angle`
24.3%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
24.3%	1	`(/.f64 angle #s(literal 180 binary64))`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes29.0ms (1.1%)

Memory

0.1MiB live, 37.7MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))))
(+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 #s(approx ( b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))

Outputs

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))

Calls

6 calls:

7.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
4.0ms	(/.f64 angle #s(literal 180 binary64))
4.0ms	angle
4.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
17.9%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
17.9%	1	`a`
17.9%	1	`b`
17.9%	1	`angle`
17.9%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
17.9%	1	`(/.f64 angle #s(literal 180 binary64))`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes20.0ms (0.7%)

Memory

-10.7MiB live, 26.9MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (cos.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))))

Outputs

#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) #s(approx (/ angle 180) #s(approx (* b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))

Calls

6 calls:

5.0ms	angle
3.0ms	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
3.0ms	(/.f64 angle #s(literal 180 binary64))
3.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
3.0ms	a

Results

Accuracy	Segments	Branch
4.3%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
4.3%	1	`a`
4.3%	1	`angle`
4.3%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
4.3%	1	`(/.f64 angle #s(literal 180 binary64))`
4.3%	1	`b`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes12.0ms (0.5%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (/.f64 angle #s(literal 180 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))

Outputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))

Calls

6 calls:

2.0ms	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
2.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
2.0ms	(/.f64 angle #s(literal 180 binary64))
2.0ms	angle
2.0ms	b

Results

Accuracy	Segments	Branch
4.3%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`
4.3%	1	`a`
4.3%	1	`angle`
4.3%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
4.3%	1	`(/.f64 angle #s(literal 180 binary64))`
4.3%	1	`b`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

regimes10.0ms (0.4%)

Memory

-22.6MiB live, 15.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))

Outputs
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))

Calls

6 calls:

3.0ms	(/.f64 angle #s(literal 180 binary64))
1.0ms	(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
1.0ms	(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))
1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
4.3%	1	`b`
4.3%	1	`angle`
4.3%	1	`(*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))`
4.3%	1	`(/.f64 angle #s(literal 180 binary64))`
4.3%	1	`a`
4.3%	1	`(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))`

Compiler

Compiled 32 to 36 computations (-12.5% saved)

bsearch40.0ms (1.5%)

Memory

-0.8MiB live, 40.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	8.220856577283062e+106	2.6115950657263854e+108
15.0ms	-5.108363519195522e+144	-5.973823654312332e+143

Samples

29.0ms

208×

valid

Compiler

Compiled 985 to 668 computations (32.2% saved)

Precisions

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

ival-sinu: 9.0ms (38.7% of total)

ival-cosu: 6.0ms (25.8% of total)

ival-pow2: 4.0ms (17.2% of total)

ival-mult: 3.0ms (12.9% of total)

ival-add: 1.0ms (4.3% of total)

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

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

bsearch15.0ms (0.6%)

Memory

17.5MiB live, 17.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.220856577283062e+106	2.6115950657263854e+108
1.0ms	-5.108363519195522e+144	-5.973823654312332e+143

Samples

9.0ms

80×

valid

Compiler

Compiled 908 to 640 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-cosu: 2.0ms (29% of total)

ival-sinu: 2.0ms (29% of total)

ival-mult: 1.0ms (14.5% of total)

ival-pow2: 1.0ms (14.5% of total)

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

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

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

bsearch42.0ms (1.6%)

Memory

5.2MiB live, 42.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1593514798472118e+155	1.2860807417702964e+157
21.0ms	-5.369785376989533e+168	-2.2996035785648221e+167

Samples

29.0ms

224×

valid

Compiler

Compiled 1 130 to 758 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-pow2: 8.0ms (33.7% of total)

ival-cosu: 6.0ms (25.3% of total)

ival-sinu: 5.0ms (21.1% of total)

ival-mult: 3.0ms (12.6% of total)

ival-add: 1.0ms (4.2% of total)

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

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

bsearch29.0ms (1.1%)

Memory

0.8MiB live, 38.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1593514798472118e+155	1.2860807417702964e+157
26.0ms	-8.868484487292293e+160	-1.1680601685319353e+152

Samples

19.0ms

144×

valid

Compiler

Compiled 1 288 to 864 computations (32.9% saved)

Precisions

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

ival-sinu: 7.0ms (44.8% of total)

ival-cosu: 4.0ms (25.6% of total)

ival-pow2: 3.0ms (19.2% of total)

ival-mult: 2.0ms (12.8% of total)

ival-add: 1.0ms (6.4% of total)

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

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

bsearch18.0ms (0.7%)

Memory

-0.6MiB live, 38.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-2.049082163404882e+131	-1.3463383601920967e+130

Samples

12.0ms

96×

valid

Compiler

Compiled 484 to 300 computations (38% saved)

Precisions

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

ival-cosu: 3.0ms (32.1% of total)

ival-sinu: 3.0ms (32.1% of total)

ival-pow2: 2.0ms (21.4% of total)

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

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

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

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

simplify7.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(if (<=.f64 b #s(literal -1600000000000000037992691773841768571853852684525891499957543981872379887267232916109084205145733270606953550614144185721269461071824130517499904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 binary64)) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -1600000000000000037992691773841768571853852684525891499957543981872379887267232916109084205145733270606953550614144185721269461071824130517499904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -229999999999999987930368795571180344558210658733471435408665713332113346644868552326197704045532140537249636190798650804225274349549975111302841740292834913219095035904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 124999999999999997919897527898965214320046534377183817045875951807558552187626569316434734618242342718904673543045388133441813418520571716683188796290760704 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -19500000000000001390331709227966727879384722017778221341565296186125884491148445779449368489233072375938370257494605722061697068866577721679028936205402112 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 124999999999999997919897527898965214320046534377183817045875951807558552187626569316434734618242342718904673543045388133441813418520571716683188796290760704 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 (/.f64 angle #s(literal 180 binary64)) #s(literal -199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))

Outputs
(+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))
(if (<=.f64 b #s(literal -1600000000000000037992691773841768571853852684525891499957543981872379887267232916109084205145733270606953550614144185721269461071824130517499904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 1000000000000000033998991713002824594943974719712898047713430714837875271723200833292741616380733445921308672 binary64)) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -1600000000000000037992691773841768571853852684525891499957543981872379887267232916109084205145733270606953550614144185721269461071824130517499904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2600000000000000244841741436295875372270963141093777692807692492122379755335908676977612024414165994280321024 binary64)) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -229999999999999987930368795571180344558210658733471435408665713332113346644868552326197704045532140537249636190798650804225274349549975111302841740292834913219095035904 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 124999999999999997919897527898965214320046534377183817045875951807558552187626569316434734618242342718904673543045388133441813418520571716683188796290760704 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal -19500000000000001390331709227966727879384722017778221341565296186125884491148445779449368489233072375938370257494605722061697068866577721679028936205402112 binary64)) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 124999999999999997919897527898965214320046534377183817045875951807558552187626569316434734618242342718904673543045388133441813418520571716683188796290760704 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))) (+.f64 #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))) (pow.f64 (.f64 b (sin.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64)))))
(if (<=.f64 (/.f64 angle #s(literal 180 binary64)) #s(literal -199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168 binary64)) #s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(approx (+ (pow ( a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 (.f64 a (cos.f64 (.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64))))) #s(literal 2 binary64))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (pow.f64 #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (*.f64 (PI.f64) (/.f64 angle #s(literal 180 binary64)))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) #s(approx (pow (* a (cos (* (PI) (/ angle 180)))) 2) #s(approx (* a (cos (* (PI) (/ angle 180)))) (pow.f64 #s(approx (* b (sin (* (PI) (/ angle 180)))) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (.f64 (PI.f64) #s(approx (/ angle 180) #s(approx ( b (sin (* (PI) (/ angle 180)))) (PI.f64)))))
#s(approx (+ (pow (* a (cos (* (PI) (/ angle 180)))) 2) (pow (* b (sin (* (PI) (/ angle 180)))) 2)) (PI.f64))

soundness5.0ms (0.2%)

Memory

-37.4MiB live, 6.8MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 848 to 78 computations (90.8% saved)

preprocess57.0ms (2.1%)

Memory: 8.3MiB live, 84.1MiB allocated
Compiler: Compiled 1 738 to 186 computations (89.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.5s (55.6%)

explain247.0ms (9.2%)

preprocess3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.0ms (0%)

localize57.0ms (2.1%)

series27.0ms (1%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval2.0ms (0.1%)

prune4.0ms (0.2%)

simplify2.0ms (0.1%)

localize73.0ms (2.7%)

series27.0ms (1%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval5.0ms (0.2%)

prune13.0ms (0.5%)

simplify2.0ms (0.1%)

localize76.0ms (2.8%)

series20.0ms (0.7%)

simplify1.0ms (0.1%)

rewrite1.0ms (0%)

eval6.0ms (0.2%)

prune12.0ms (0.5%)

simplify3.0ms (0.1%)

localize72.0ms (2.7%)

series18.0ms (0.7%)

simplify8.0ms (0.3%)

rewrite1.0ms (0.1%)

eval7.0ms (0.2%)

prune22.0ms (0.8%)

regimes53.0ms (2%)

regimes52.0ms (1.9%)

regimes9.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes26.0ms (1%)

regimes36.0ms (1.3%)

regimes29.0ms (1.1%)

regimes20.0ms (0.7%)

regimes12.0ms (0.5%)

regimes10.0ms (0.4%)

bsearch40.0ms (1.5%)

bsearch15.0ms (0.6%)

bsearch42.0ms (1.6%)

bsearch29.0ms (1.1%)

bsearch18.0ms (0.7%)

simplify7.0ms (0.2%)

soundness5.0ms (0.2%)

preprocess57.0ms (2.1%)

end0.0ms (0%)

Profiling