Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze44.0ms (0.6%)

Memory

-10.2MiB live, 66.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.8s (93.9%)

Memory

142.4MiB live, 4 983.3MiB allocated

Samples

2.6s	26 066×	0	invalid
2.4s	5 654×	2	valid
438.0ms	2 476×	1	valid
16.0ms	126×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-cos: 2.0s (45.1% of total)

const: 558.0ms (12.7% of total)

adjust: 388.0ms (8.8% of total)

ival-mult: 237.0ms (5.4% of total)

ival-sub: 231.0ms (5.3% of total)

ival-fabs: 221.0ms (5% of total)

ival-add: 220.0ms (5% of total)

ival-<=: 207.0ms (4.7% of total)

ival-<: 178.0ms (4.1% of total)

ival-and: 110.0ms (2.5% of total)

exact: 49.0ms (1.1% of total)

ival-assert: 13.0ms (0.3% of total)

Bogosity

explain189.0ms (2.6%)

Memory

-89.7MiB live, 47.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
146	-	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
2	-	1	(7.7402304935050505 3.3265925618893066e-9)	`(cos.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(cos.f64 x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	146	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	146	0
-	0	110

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	146	0	0
-	0	0	110

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	110
1	145
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

113.0ms	322×	2	valid
33.0ms	180×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-cos: 86.0ms (75.8% of total)

adjust: 17.0ms (15% of total)

ival-sub: 6.0ms (5.3% of total)

ival-add: 3.0ms (2.6% of total)

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

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

preprocess2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

localize75.0ms (1%)

Memory

13.9MiB live, 13.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 x)
accuracy	0.0641035843812187	(cos.f64 (+.f64 x eps))
accuracy	32.22503393011589	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

57.0ms	161×	2	valid
11.0ms	90×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-cos: 43.0ms (76.1% of total)

adjust: 9.0ms (15.9% of total)

ival-sub: 3.0ms (5.3% of total)

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

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

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

series3.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Counts

4 → 33

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
0.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

33 → 4

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- (cos (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(- (cos eps) 1)
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(cos.f64 (+.f64 x eps))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(+.f64 x eps)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos.f64 x)

rewrite0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

4 → 4

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)

eval1.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 76 to 14 computations (81.6% saved)

prune3.0ms (0%)

Memory

-38.1MiB live, 1.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	4	9

Accuracy

49.8%

Counts

9 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	4.6%	#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
▶	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
▶	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
cost-diff	0	(cos.f64 x)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(cos.f64 x)
x
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
(+.f64 x eps)
x
eps

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(cos.f64 x)
x
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
(+.f64 x eps)
x
eps

localize80.0ms (1.1%)

Memory

16.0MiB live, 16.0MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	61.08512161326299	#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
accuracy	0.0	(+.f64 x eps)
accuracy	0.0641035843812187	(cos.f64 (+.f64 x eps))
accuracy	61.7232437380617	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
accuracy	0.0	(cos.f64 x)
accuracy	61.72324373798339	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))

Samples

59.0ms	161×	2	valid
12.0ms	90×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 90 to 20 computations (77.8% saved)

Precisions

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

ival-cos: 43.0ms (75.7% of total)

adjust: 9.0ms (15.8% of total)

ival-sub: 3.0ms (5.3% of total)

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

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

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

series2.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Counts

6 → 33

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
(- (cos (+ eps x)) (cos x))
(cos x)
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (cos x)))
0.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (cos x)))
0.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (cos x)))
0.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (cos x)))
0.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos x) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (- (cos (+ x eps)) (cos x)))

simplify0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Counts

33 → 6

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
eps
(+ eps x)
(- (cos (+ eps x)) (cos x))
(cos x)
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Outputs
(- (cos eps) 1)
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(cos.f64 x)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(cos.f64 (+.f64 x eps))
1
(+.f64 x eps)
(+ 1 (* -1/2 (pow x 2)))
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

rewrite0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
(cos.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

eval1.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 152 to 18 computations (88.2% saved)

prune3.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	11	4	15

Accuracy

49.8%

Counts

15 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	4.6%	#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
✓	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
✓	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))

Compiler

Compiled 80 to 44 computations (45% saved)

regimes6.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Calls

3 calls:

2.0ms	eps
2.0ms	x
2.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`eps`
49.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Accuracy

Total -1.2b remaining (-1.9%)

Threshold costs -1.2b (-1.9%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (cos.f64 (+.f64 x eps)))

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

Calls

3 calls:

2.0ms	eps
2.0ms	x
1.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
4.6%	1	`x`
4.6%	1	`eps`
4.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify4.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (+.f64 x eps))

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

done

Compiler

Compiled 18 to 11 computations (38.9% saved)

preprocess25.0ms (0.3%)

Memory: -23.5MiB live, 16.0MiB allocated
Compiler: Compiled 84 to 64 computations (23.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze44.0ms (0.6%)

sample6.8s (93.9%)

explain189.0ms (2.6%)

preprocess2.0ms (0%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize75.0ms (1%)

series3.0ms (0%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune3.0ms (0%)

simplify0.0ms (0%)

localize80.0ms (1.1%)

series2.0ms (0%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0%)

prune3.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

preprocess25.0ms (0.3%)

end0.0ms (0%)

Profiling