Metrics for Example from Robby

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze666.0ms (12.8%)

Memory

-11.8MiB live, 745.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
21.9%	21.8%	78%	0.1%	0%	0%	0%	9
32.8%	32.8%	67.1%	0.1%	0%	0%	0%	10
32.8%	32.8%	67.1%	0.1%	0%	0%	0%	11
35.2%	35.1%	64.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 30 to 19 computations (36.7% saved)

sample2.4s (45.8%)

Memory

69.2MiB live, 2 202.7MiB allocated

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-sin: 604.0ms (35.1% of total)

ival-cos: 383.0ms (22.2% of total)

ival-mult: 263.0ms (15.3% of total)

ival-tan: 169.0ms (9.8% of total)

ival-div: 140.0ms (8.1% of total)

ival-add: 62.0ms (3.6% of total)

ival-atan: 47.0ms (2.7% of total)

ival-fabs: 42.0ms (2.4% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain928.0ms (17.9%)

Memory

-38.5MiB live, 907.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
154	-	0	-	`(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))`
13	-	1	(-2.0181319390267826e-281 3.2358522992271576e+40 -4.25861885236374e-111)	`(/.f64 (/.f64 eh ew) (tan.f64 t))`
0	-	0	-	`t`
0	-	0	-	`(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))`
0	-	0	-	`(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))`
0	-	0	-	`(/.f64 eh ew)`
0	-	0	-	`(*.f64 ew (sin.f64 t))`
0	-	0	-	`(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))`
0	-	0	-	`(*.f64 eh (cos.f64 t))`
0	-	0	-	`(sin.f64 t)`
0	-	0	-	`(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))`
0	-	0	-	`(cos.f64 t)`
0	-	0	-	`(sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))`
0	-	0	-	`ew`
0	-	0	-	`(tan.f64 t)`
0	-	0	-	`(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))`
0	-	0	-	`eh`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))`	sensitivity	154	0

Confusion

	Predicted +	Predicted -
+	0	0
-	154	102

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	154	0	102

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	102
1	154

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

551.0ms	168×	2	valid
102.0ms	128×	1	valid
68.0ms	216×	0	valid

Compiler

Compiled 422 to 72 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 677.0ms

ival-sin: 501.0ms (74% of total)

ival-cos: 87.0ms (12.9% of total)

ival-mult: 22.0ms (3.3% of total)

ival-tan: 18.0ms (2.7% of total)

adjust: 17.0ms (2.5% of total)

ival-div: 12.0ms (1.8% of total)

ival-atan: 9.0ms (1.3% of total)

ival-fabs: 5.0ms (0.7% of total)

ival-add: 4.0ms (0.6% of total)

ival-true: 1.0ms (0.1% of total)

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

preprocess3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Outputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 28 to 17 computations (39.3% 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
▶	99.8%	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 ew (sin.f64 t))
cost-diff	0	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
cost-diff	0	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
cost-diff	0	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Calls

Call 1

Inputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(/.f64 eh ew)
eh
(tan.f64 t)
(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 eh (cos.f64 t))
(cos.f64 t)
(sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Outputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(/.f64 eh ew)
eh
(tan.f64 t)
(.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 eh (cos.f64 t))
(cos.f64 t)
(sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

localize371.0ms (7.1%)

Memory

-7.8MiB live, 353.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(*.f64 ew (sin.f64 t))
accuracy	0.13671875	(*.f64 eh (cos.f64 t))
accuracy	3.05386876105406	(/.f64 (/.f64 eh ew) (tan.f64 t))
accuracy	35.74664374490829	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))

Samples

257.0ms	84×	2	valid
49.0ms	108×	0	valid
48.0ms	64×	1	valid

Compiler

Compiled 262 to 36 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-sin: 208.0ms (65% of total)

ival-cos: 69.0ms (21.6% of total)

ival-mult: 11.0ms (3.4% of total)

adjust: 8.0ms (2.5% of total)

ival-tan: 8.0ms (2.5% of total)

ival-div: 6.0ms (1.9% of total)

ival-atan: 4.0ms (1.3% of total)

ival-add: 2.0ms (0.6% of total)

ival-fabs: 2.0ms (0.6% of total)

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

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

series64.0ms (1.2%)

Memory

-11.5MiB live, 68.0MiB allocated

Counts

7 → 32

Calls

Call 1

Inputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(*.f64 eh (cos.f64 t))

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(/ (* eh (cos t)) (* ew (sin t)))
(* eh (cos t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* t (+ (* -1/6 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* 1/120 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* (pow t 2) (+ (* -1/5040 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* 1/120 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
(/ eh (* ew t))
(/ (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/3 (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew)))) (+ (* -2/45 (/ eh ew)) (* 17/315 (/ eh ew)))))) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	eh	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)) (* eh (cos t)))
5.0ms	t	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)) (* eh (cos t)))
5.0ms	eh	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)) (* eh (cos t)))
4.0ms	t	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)) (* eh (cos t)))
4.0ms	ew	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)) (* eh (cos t)))

simplify1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Counts

32 → 7

Calls

Call 1

Inputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(/ (* eh (cos t)) (* ew (sin t)))
(* eh (cos t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* t (+ (* -1/6 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* 1/120 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* (pow t 2) (+ (* -1/5040 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* 1/120 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
(/ eh (* ew t))
(/ (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/3 (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew)))) (+ (* -2/45 (/ eh ew)) (* 17/315 (/ eh ew)))))) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(*.f64 ew (sin.f64 t))
(/ (* eh (cos t)) (* ew (sin t)))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(* eh (cos t))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(*.f64 eh (cos.f64 t))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(*.f64 eh (cos.f64 t))

Outputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(*.f64 eh (cos.f64 t))

eval2.0ms (0%)

Memory: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 554 to 56 computations (89.9% saved)

prune2.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Accuracy

99.8%

Counts

17 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.8%

(fabs.f64 (+.f64 (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (*.f64 (*.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

▶

42.0%

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 (*.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

▶

61.7%

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

Compiler

Compiled 103 to 63 computations (38.8% saved)

simplify1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 ew (sin.f64 t))
cost-diff	0	(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
cost-diff	0	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
cost-diff	0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
cost-diff	0	(cos.f64 t)
cost-diff	0	(*.f64 eh (cos.f64 t))
cost-diff	0	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
cost-diff	0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(*.f64 eh (cos.f64 t))
eh
(cos.f64 t)
t
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(/.f64 eh ew)
eh
(tan.f64 t)

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(*.f64 eh (cos.f64 t))
eh
(cos.f64 t)
t
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))
(/.f64 (/.f64 eh ew) (tan.f64 t))
(/.f64 eh ew)
eh
(tan.f64 t)

localize342.0ms (6.6%)

Memory

18.4MiB live, 290.6MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(*.f64 ew (sin.f64 t))
accuracy	3.05386876105406	(/.f64 (/.f64 eh ew) (tan.f64 t))
accuracy	35.74664374490829	(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
accuracy	37.31732567647598	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
accuracy	0.0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
accuracy	0.0	(cos.f64 t)
accuracy	0.13671875	(*.f64 eh (cos.f64 t))
accuracy	43.605697313426866	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))

Samples

261.0ms	84×	2	valid
43.0ms	64×	1	valid
23.0ms	108×	0	valid

Compiler

Compiled 372 to 49 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-sin: 220.0ms (72.1% of total)

ival-cos: 41.0ms (13.4% of total)

ival-mult: 11.0ms (3.6% of total)

adjust: 8.0ms (2.6% of total)

ival-tan: 8.0ms (2.6% of total)

ival-div: 6.0ms (2% of total)

ival-atan: 4.0ms (1.3% of total)

ival-add: 2.0ms (0.7% of total)

ival-fabs: 2.0ms (0.7% of total)

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

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

series28.0ms (0.5%)

Memory

6.4MiB live, 43.4MiB allocated

Counts

10 → 37

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(*.f64 eh (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (cos t))
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(/ (* eh (cos t)) (* ew (sin t)))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))
1
(+ 1 (* -1/2 (pow t 2)))
(+ 1 (* (pow t 2) (- (* 1/24 (pow t 2)) 1/2)))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/24 (* -1/720 (pow t 2)))) 1/2)))
(* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* t (+ (* -1/6 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* 1/120 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* (pow t 2) (+ (* -1/5040 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* 1/120 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
(/ eh (* ew t))
(/ (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/3 (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew)))) (+ (* -2/45 (/ eh ew)) (* 17/315 (/ eh ew)))))) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(cos t)

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	eh	@	inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)))
3.0ms	eh	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)))
3.0ms	ew	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)))
2.0ms	eh	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)))
2.0ms	ew	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t)))) (/ (/ eh ew) (tan t)))

simplify1.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

1×	egg-herbie

Counts

37 → 10

Calls

Call 1

Inputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (cos t))
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(/ (* eh (cos t)) (* ew (sin t)))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))
1
(+ 1 (* -1/2 (pow t 2)))
(+ 1 (* (pow t 2) (- (* 1/24 (pow t 2)) 1/2)))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/24 (* -1/720 (pow t 2)))) 1/2)))
(* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* t (+ (* -1/6 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* 1/120 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))))))
(* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* (pow t 2) (+ (* -1/6 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* (pow t 2) (+ (* -1/5040 (* ew (* (pow t 2) (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* 1/120 (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
(/ eh (* ew t))
(/ (+ (* -1/3 (/ (* eh (pow t 2)) ew)) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(/ (+ (* (pow t 2) (- (* (pow t 2) (- (* -1 (* (pow t 2) (+ (* -1/3 (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew)))) (+ (* -2/45 (/ eh ew)) (* 17/315 (/ eh ew)))))) (+ (* -1/9 (/ eh ew)) (* 2/15 (/ eh ew))))) (* 1/3 (/ eh ew)))) (/ eh ew)) t)
(cos t)

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(*.f64 eh (cos.f64 t))
(* eh (cos t))
(cos.f64 t)
(cos (atan (/ (* eh (cos t)) (* ew (sin t)))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(/ (* eh (cos t)) (* ew (sin t)))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(*.f64 ew (sin.f64 t))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(* ew (sin t))
(/.f64 (/.f64 eh ew) (tan.f64 t))

rewrite1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

10 → 10

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(*.f64 eh (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t)))
(*.f64 eh (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
(.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))
(*.f64 ew (sin.f64 t))
(cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))
(/.f64 (/.f64 eh ew) (tan.f64 t))

eval10.0ms (0.2%)

Memory: -34.9MiB live, 3.4MiB allocated
Compiler: Compiled 831 to 55 computations (93.4% saved)

prune4.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	17	4	21

Accuracy

99.8%

Counts

21 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
▶	42.1%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
✓	61.7%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
▶	5.6%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Compiler

Compiled 130 to 77 computations (40.8% saved)

simplify1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 t)
cost-diff	0	(*.f64 ew (sin.f64 t))
cost-diff	0	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
cost-diff	0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
cost-diff	0	(cos.f64 t)
cost-diff	0	#s(approx (* eh (cos t)) (cos.f64 t))
cost-diff	0	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
cost-diff	0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
#s(approx (* eh (cos t)) (cos.f64 t))
(cos.f64 t)
t
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
#s(approx (* eh (cos t)) (cos.f64 t))
(cos.f64 t)
t
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(*.f64 ew (sin.f64 t))
ew
(sin.f64 t)
t

localize82.0ms (1.6%)

Memory

1.6MiB live, 83.7MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 t)
accuracy	0.0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
accuracy	0.1328125	(*.f64 ew (sin.f64 t))
accuracy	36.98120982116776	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
accuracy	0.0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
accuracy	0.0	(cos.f64 t)
accuracy	43.605697313426866	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
accuracy	61.765432369992624	#s(approx (* eh (cos t)) (cos.f64 t))

Samples

59.0ms

256×

valid

Compiler

Compiled 281 to 43 computations (84.7% saved)

Precisions

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

ival-sin: 15.0ms (30.9% of total)

ival-cos: 14.0ms (28.8% of total)

ival-mult: 7.0ms (14.4% of total)

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

ival-div: 4.0ms (8.2% of total)

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

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

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

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

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

series14.0ms (0.3%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

8 → 32

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
#s(approx (* eh (cos t)) (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(*.f64 ew (sin.f64 t))
(sin.f64 t)

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (cos t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))
1
(+ 1 (* -1/2 (pow t 2)))
(+ 1 (* (pow t 2) (- (* 1/24 (pow t 2)) 1/2)))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/24 (* -1/720 (pow t 2)))) 1/2)))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
t
(* t (+ 1 (* -1/6 (pow t 2))))
(* t (+ 1 (* (pow t 2) (- (* 1/120 (pow t 2)) 1/6))))
(* t (+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/120 (* -1/5040 (pow t 2)))) 1/6))))
(cos t)
(sin t)

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	eh	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
2.0ms	t	@	inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
2.0ms	eh	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
2.0ms	t	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
2.0ms	ew	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* eh (cos t)) (cos t) (fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))

simplify1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

32 → 8

Calls

Call 1

Inputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (cos t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
eh
(+ eh (* -1/2 (* eh (pow t 2))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* 1/24 (* eh (pow t 2))))))
(+ eh (* (pow t 2) (+ (* -1/2 eh) (* (pow t 2) (+ (* -1/720 (* eh (pow t 2))) (* 1/24 eh))))))
1
(+ 1 (* -1/2 (pow t 2)))
(+ 1 (* (pow t 2) (- (* 1/24 (pow t 2)) 1/2)))
(+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/24 (* -1/720 (pow t 2)))) 1/2)))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
t
(* t (+ 1 (* -1/6 (pow t 2))))
(* t (+ 1 (* (pow t 2) (- (* 1/120 (pow t 2)) 1/6))))
(* t (+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/120 (* -1/5040 (pow t 2)))) 1/6))))
(cos t)
(sin t)

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
#s(approx (* eh (cos t)) (cos.f64 t))
(* eh (cos t))
(cos.f64 t)
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(*.f64 ew (sin.f64 t))
(* ew (sin t))
(sin.f64 t)

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

8 → 8

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
#s(approx (* eh (cos t)) (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(*.f64 ew (sin.f64 t))
(sin.f64 t)

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t)))
#s(approx (* eh (cos t)) (cos.f64 t))
(cos.f64 t)
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t)))
(*.f64 ew (sin.f64 t))
(sin.f64 t)

eval1.0ms (0%)

Memory: 1.6MiB live, 1.6MiB allocated
Compiler: Compiled 564 to 35 computations (93.8% saved)

prune28.0ms (0.5%)

Memory

-30.6MiB live, 7.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	12	5	17

Accuracy

99.8%

Counts

17 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	42.1%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
✓	61.7%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
▶	5.1%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
✓	5.6%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Compiler

Compiled 166 to 97 computations (41.6% saved)

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 t)
cost-diff	0	#s(approx (* ew (sin t)) (sin.f64 t))
cost-diff	0	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
cost-diff	0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
#s(approx (* ew (sin t)) (sin.f64 t))
(sin.f64 t)
t

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
#s(approx (* ew (sin t)) (sin.f64 t))
(sin.f64 t)
t

localize66.0ms (1.3%)

Memory

16.3MiB live, 53.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 t)
accuracy	0.0	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
accuracy	36.98120982116776	#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
accuracy	61.36344759290878	#s(approx (* ew (sin t)) (sin.f64 t))

Samples

58.0ms

256×

valid

Compiler

Compiled 145 to 39 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sin: 15.0ms (33.5% of total)

ival-cos: 10.0ms (22.3% of total)

ival-mult: 7.0ms (15.6% of total)

ival-tan: 5.0ms (11.2% of total)

ival-div: 3.0ms (6.7% of total)

ival-add: 1.0ms (2.2% of total)

ival-fabs: 1.0ms (2.2% of total)

ival-atan: 1.0ms (2.2% of total)

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

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

series11.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
#s(approx (* ew (sin t)) (sin.f64 t))
(sin.f64 t)

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
t
(* t (+ 1 (* -1/6 (pow t 2))))
(* t (+ 1 (* (pow t 2) (- (* 1/120 (pow t 2)) 1/6))))
(* t (+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/120 (* -1/5040 (pow t 2)))) 1/6))))
(sin t)

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	ew	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
1.0ms	t	@	-inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
1.0ms	t	@	inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
1.0ms	ew	@	0	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))
1.0ms	ew	@	inf	((fabs (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t))))))) (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (* ew (sin t)) (sin t))

simplify1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Counts

22 → 4

Calls

Call 1

Inputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(* eh (+ (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))
(* -1 (* eh (+ (* -1 (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1 (/ (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) eh)))))
(* ew (sin t))
(* ew (+ (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)) (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))
(* -1 (* ew (+ (* -1 (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))) (* -1 (/ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) ew)))))
(* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (* t (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))) (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))
(+ (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* ew (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))) (* t (+ (* -1/2 (* eh (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* -1/6 (* ew (* t (cos (atan (/ (* eh (cos t)) (* ew (sin t)))))))))))))
(* ew t)
(* t (+ ew (* -1/6 (* ew (pow t 2)))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* 1/120 (* ew (pow t 2)))))))
(* t (+ ew (* (pow t 2) (+ (* -1/6 ew) (* (pow t 2) (+ (* -1/5040 (* ew (pow t 2))) (* 1/120 ew)))))))
t
(* t (+ 1 (* -1/6 (pow t 2))))
(* t (+ 1 (* (pow t 2) (- (* 1/120 (pow t 2)) 1/6))))
(* t (+ 1 (* (pow t 2) (- (* (pow t 2) (+ 1/120 (* -1/5040 (pow t 2)))) 1/6))))
(sin t)

Outputs
(fabs (+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
(* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t)))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
(+ (* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t))))))) (* ew (* (cos (atan (/ (* eh (cos t)) (* ew (sin t))))) (sin t))))
#s(approx (* ew (sin t)) (sin.f64 t))
(* eh (* (cos t) (sin (atan (/ (* eh (cos t)) (* ew (sin t)))))))
(sin.f64 t)

rewrite0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
#s(approx (* ew (sin t)) (sin.f64 t))
(sin.f64 t)

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
#s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t)))
#s(approx (* ew (sin t)) (sin.f64 t))
(sin.f64 t)

eval1.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 304 to 26 computations (91.4% saved)

prune5.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	7	5	12

Accuracy

99.8%

Counts

12 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
✓	42.1%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
✓	61.7%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
✓	5.1%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
✓	5.6%	(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Compiler

Compiled 374 to 139 computations (62.8% saved)

regimes29.0ms (0.6%)

Memory

-20.1MiB live, 17.9MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Outputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Calls

5 calls:

18.0ms	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
3.0ms	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
2.0ms	t
2.0ms	eh
2.0ms	ew

Results

Accuracy	Segments	Branch
99.8%	1	`eh`
99.8%	1	`ew`
99.8%	1	`t`
99.8%	1	`(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))`
99.8%	1	`(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes12.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))

Outputs

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 ew (sin.f64 t))))

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

Calls

5 calls:

2.0ms	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
2.0ms	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
2.0ms	eh
2.0ms	ew
2.0ms	t

Results

Accuracy	Segments	Branch
77.3%	3	`eh`
76.6%	3	`ew`
65.2%	2	`t`
61.7%	1	`(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))`
61.7%	1	`(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

regimes7.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))

Calls

4 calls:

2.0ms	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
2.0ms	ew
2.0ms	eh
2.0ms	t

Results

Accuracy	Segments	Branch
61.7%	1	`(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))`
61.7%	1	`t`
61.7%	1	`ew`
61.7%	1	`eh`

Compiler

Compiled 31 to 26 computations (16.1% saved)

regimes19.0ms (0.4%)

Memory

-33.2MiB live, 11.8MiB allocated

Accuracy

Total -0.6b remaining (-1%)

Threshold costs -0.6b (-1%)

Counts

2 → 1

Calls

Call 1

Inputs

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* ew (sin t)) (sin.f64 t))))

Outputs
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Calls

5 calls:

13.0ms	(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
2.0ms	(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))
1.0ms	t
1.0ms	ew
1.0ms	eh

Results

Accuracy	Segments	Branch
5.6%	1	`ew`
5.6%	1	`eh`
5.6%	1	`(+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))))`
5.6%	1	`t`
5.6%	1	`(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))`

Compiler

Compiled 58 to 42 computations (27.6% saved)

bsearch70.0ms (1.3%)

Memory

16.5MiB live, 94.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	9.525815159732071e-95	4.502257414592215e-94
28.0ms	-958.5602881812347	-59.8697717132715

Samples

50.0ms

208×

valid

Compiler

Compiled 889 to 569 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 13.0ms (29.8% of total)

ival-sin: 12.0ms (27.5% of total)

ival-cos: 8.0ms (18.3% of total)

ival-tan: 4.0ms (9.2% of total)

ival-div: 3.0ms (6.9% of total)

ival-add: 1.0ms (2.3% of total)

ival-fabs: 1.0ms (2.3% of total)

ival-atan: 1.0ms (2.3% of total)

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

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

simplify5.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(if (<=.f64 eh #s(literal -60 binary64)) (fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 eh (cos.f64 t)))) (if (<=.f64 eh #s(literal 267733854436217/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (fabs.f64 #s(approx (+ ( (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 ew (sin.f64 t)))) (fabs.f64 #s(approx (+ ( (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

Outputs
(fabs.f64 (+.f64 (.f64 (.f64 ew (sin.f64 t)) (cos.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t))))) (.f64 (.f64 eh (cos.f64 t)) (sin.f64 (atan.f64 (/.f64 (/.f64 eh ew) (tan.f64 t)))))))
(if (<=.f64 eh #s(literal -60 binary64)) (fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 eh (cos.f64 t)))) (if (<=.f64 eh #s(literal 267733854436217/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (fabs.f64 #s(approx (+ ( (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (.f64 ew (sin.f64 t)))) (fabs.f64 #s(approx (+ ( (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) (*.f64 eh (cos.f64 t))))
(fabs.f64 #s(approx (+ (* (* ew (sin t)) (cos (atan (/ (/ eh ew) (tan t))))) (* (* eh (cos t)) (sin (atan (/ (/ eh ew) (tan t)))))) #s(approx (* eh (cos t)) (cos.f64 t))))

soundness2.0ms (0%)

Memory

-36.2MiB live, 3.2MiB allocated

Stop Event

1×

done

Compiler

Compiled 204 to 43 computations (78.9% saved)

preprocess33.0ms (0.6%)

Memory: 33.5MiB live, 76.3MiB allocated
Compiler: Compiled 464 to 120 computations (74.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze666.0ms (12.8%)

sample2.4s (45.8%)

explain928.0ms (17.9%)

preprocess3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.0ms (0%)

localize371.0ms (7.1%)

series64.0ms (1.2%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify1.0ms (0%)

localize342.0ms (6.6%)

series28.0ms (0.5%)

simplify1.0ms (0%)

rewrite1.0ms (0%)

eval10.0ms (0.2%)

prune4.0ms (0.1%)

simplify1.0ms (0%)

localize82.0ms (1.6%)

series14.0ms (0.3%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune28.0ms (0.5%)

simplify0.0ms (0%)

localize66.0ms (1.3%)

series11.0ms (0.2%)

simplify1.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune5.0ms (0.1%)

regimes29.0ms (0.6%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

regimes19.0ms (0.4%)

bsearch70.0ms (1.3%)

simplify5.0ms (0.1%)

soundness2.0ms (0%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling