Metrics for Trigonometry B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze123.0ms (8.3%)

Memory

10.0MiB live, 164.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample1.0s (70%)

Memory

-90.5MiB live, 1 108.8MiB allocated

Samples

546.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 399.0ms

ival-tan: 187.0ms (46.9% of total)

ival-div: 61.0ms (15.3% of total)

ival-mult: 59.0ms (14.8% of total)

ival-sub: 40.0ms (10% of total)

ival-add: 38.0ms (9.5% of total)

ival-true: 5.0ms (1.3% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain99.0ms (6.6%)

Memory

13.1MiB live, 132.6MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (tan.f64 x) (tan.f64 x))`
-	-	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
-	-	`#s(literal 1 binary64)`
-	-	`(tan.f64 x)`
-	-	`(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

37.0ms

512×

valid

Compiler

Compiled 133 to 32 computations (75.9% saved)

Precisions

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

ival-tan: 11.0ms (45.5% of total)

ival-div: 3.0ms (12.4% of total)

ival-add: 3.0ms (12.4% of total)

ival-mult: 3.0ms (12.4% of total)

ival-sub: 2.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 15 to 7 computations (53.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Compiler

Compiled 15 to 7 computations (53.3% saved)

simplify0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

localize25.0ms (1.7%)

Memory

-7.3MiB live, 30.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.16539003907376804	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.18359375	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.3125	(*.f64 (tan.f64 x) (tan.f64 x))

Samples

19.0ms

256×

valid

Compiler

Compiled 78 to 16 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-tan: 6.0ms (52.7% of total)

ival-mult: 2.0ms (17.6% of total)

ival-sub: 1.0ms (8.8% of total)

ival-div: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.3%)

Memory

6.4MiB live, 6.3MiB allocated

Counts

5 → 23

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))
2.0ms	x	@	inf	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))
1.0ms	x	@	0	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))

2.0ms

inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))

1.0ms

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (tan x) (+ 1 (* (tan x) (tan x))))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

23 → 5

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (* 2/3 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2)))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(+ 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
1
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(+ 1 (* -2 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(tan.f64 x)
(+ 1 (* -1 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

rewrite0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

5 → 5

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

eval1.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 251 to 19 computations (92.4% saved)

prune2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Accuracy

99.4%

Counts

15 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
▶	59.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	7.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
▶	6.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Compiler

Compiled 77 to 38 computations (50.6% saved)

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 x))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
cost-diff	0	(tan.f64 x)
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(tan.f64 x)
x
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(tan.f64 x)
x
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
(tan.f64 x)
x

localize29.0ms (1.9%)

Memory

-17.5MiB live, 59.3MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(tan.f64 x)
accuracy	0.16539003907376804	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.3125	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	26.17230104025385	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.00390625	(tan.f64 x)
accuracy	0.3125	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	59.488315758504385	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
accuracy	0.00390625	(tan.f64 x)
accuracy	59.8842899055876	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Samples

21.0ms

256×

valid

Compiler

Compiled 163 to 23 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-tan: 7.0ms (53.4% of total)

ival-mult: 2.0ms (15.3% of total)

ival-sub: 1.0ms (7.6% of total)

ival-div: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

6 → 19

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(tan.f64 x)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))
1.0ms	x	@	-inf	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))
0.0ms	x	@	0	((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))

Time

Variable

Point

Expression

1.0ms

inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))

1.0ms

-inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))

0.0ms

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

19 → 6

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (sin x) (cos x))
(/ (pow (sin x) 2) (pow (cos x) 2))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
1
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(+ 1 (* -2 (pow x 2)))
(tan.f64 x)
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(*.f64 (tan.f64 x) (tan.f64 x))
x
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(* x (+ 1 (* 1/3 (pow x 2))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

rewrite1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(tan.f64 x)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
(tan.f64 x)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))

eval2.0ms (0.1%)

Memory: 4.5MiB live, 4.5MiB allocated
Compiler: Compiled 678 to 36 computations (94.7% saved)

prune5.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	21	6	27

Accuracy

99.4%

Counts

27 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	59.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
▶	55.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
✓	7.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
▶	7.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	6.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Compiler

Compiled 137 to 67 computations (51.1% saved)

simplify1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
cost-diff	0	#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
cost-diff	0	(tan.f64 x)
cost-diff	0	(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(literal 1 binary64)
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal 1 binary64)
(*.f64 (tan.f64 x) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(literal 1 binary64)
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

localize36.0ms (2.4%)

Memory

-1.2MiB live, 46.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.3125	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.3125	(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
accuracy	26.17230104025385	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
accuracy	59.731847152683116	#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
accuracy	0.3125	(*.f64 (tan.f64 x) (tan.f64 x))
accuracy	0.3125	(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
accuracy	59.488315758504385	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
accuracy	59.731847152683116	#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

Samples

27.0ms

256×

valid

Compiler

Compiled 238 to 25 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 8.0ms (43.5% of total)

ival-tan: 6.0ms (32.7% of total)

ival-mult: 2.0ms (10.9% of total)

ival-sub: 1.0ms (5.4% of total)

ival-div: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

7 → 19

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))

Outputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (tan x) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)))

1.0ms

-inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (tan x) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)))

0.0ms

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (* (tan x) (tan x)) (tan x) (tan x) (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)))

simplify0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	egg-herbie

Counts

19 → 7

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))

Outputs
1
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(+ 1 (* -2 (pow x 2)))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(tan.f64 x)
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(pow x 2)
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(*.f64 (tan.f64 x) (tan.f64 x))

rewrite1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

7 → 7

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(*.f64 (tan.f64 x) (tan.f64 x))

eval5.0ms (0.4%)

Memory: -34.1MiB live, 3.7MiB allocated
Compiler: Compiled 780 to 31 computations (96% saved)

prune3.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	23	7	30

Accuracy

99.4%

Counts

30 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	59.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	55.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
▶	6.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
✓	7.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	7.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	6.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Compiler

Compiled 176 to 84 computations (52.3% saved)

simplify1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
cost-diff	0	#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
cost-diff	0	(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
cost-diff	0	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
#s(literal 1 binary64)
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
#s(literal 1 binary64)
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
(tan.f64 x)
x
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))
(*.f64 (tan.f64 x) (tan.f64 x))

localize27.0ms (1.8%)

Memory

30.1MiB live, 30.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3125	(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))
accuracy	26.17230104025385	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
accuracy	59.45185464220286	#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
accuracy	59.731847152683116	#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

Samples

19.0ms

256×

valid

Compiler

Compiled 196 to 26 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-tan: 6.0ms (52.4% of total)

ival-mult: 2.0ms (17.5% of total)

ival-sub: 1.0ms (8.7% of total)

ival-div: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.2%)

Memory

-36.3MiB live, 2.7MiB allocated

Counts

6 → 19

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))

Outputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (- 1 (* (tan x) (tan x))) (tan x) (* (tan x) (tan x)))

1.0ms

inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (- 1 (* (tan x) (tan x))) (tan x) (* (tan x) (tan x)))

1.0ms

-inf

((/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (- 1 (* (tan x) (tan x))) (* (tan x) (tan x)) (- 1 (* (tan x) (tan x))) (tan x) (* (tan x) (tan x)))

simplify0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Counts

19 → 6

Calls

Call 1

Inputs
1
(+ 1 (* -2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -17/45 (pow x 2)) 2/3)) 1)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* 17/45 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 17/45 (* 62/315 (pow x 2))))))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (- 1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(- 1 (/ (pow (sin x) 2) (pow (cos x) 2)))
(/ (pow (sin x) 2) (pow (cos x) 2))
(/ (sin x) (cos x))

Outputs
1
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(+ 1 (* -2 (pow x 2)))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
(+ 1 (* (pow x 2) (- (* 2/3 (pow x 2)) 2)))
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/3 (* -4/45 (pow x 2)))) 2)))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
(+ 1 (* -1 (pow x 2)))
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(+ 1 (* (pow x 2) (- (* -2/3 (pow x 2)) 1)))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))

rewrite0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))))
#s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
(-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(approx (tan x) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
(.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))

eval1.0ms (0.1%)

Memory: 2.0MiB live, 2.0MiB allocated
Compiler: Compiled 428 to 24 computations (94.4% saved)

prune4.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	11	7	18

Accuracy

99.4%

Counts

18 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
✓	59.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
✓	55.2%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
✓	6.8%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
✓	7.0%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
✓	7.1%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
✓	6.4%	#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Compiler

Compiled 352 to 108 computations (69.3% saved)

regimes12.0ms (0.8%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))

Calls

4 calls:

3.0ms	(tan.f64 x)
3.0ms	x
3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
3.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
99.4%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
99.4%	1	`(tan.f64 x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes11.0ms (0.7%)

Memory

-21.1MiB live, 17.7MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) #s(approx (* (tan x) (tan x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) #s(approx (tan x) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x)))))))))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))

Calls

4 calls:

3.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
2.0ms	(tan.f64 x)
2.0ms	x
2.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
59.1%	1	`x`
59.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
59.1%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
59.1%	1	`(tan.f64 x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes6.0ms (0.4%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))

Calls

4 calls:

1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
1.0ms	(tan.f64 x)
1.0ms	x
1.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
7.0%	1	`x`
7.0%	1	`(tan.f64 x)`
7.0%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`
7.0%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes5.0ms (0.3%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Outputs
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Calls

4 calls:

1.0ms	(tan.f64 x)
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
1.0ms	x
1.0ms	(*.f64 (tan.f64 x) (tan.f64 x))

Results

Accuracy	Segments	Branch
6.4%	1	`(*.f64 (tan.f64 x) (tan.f64 x))`
6.4%	1	`(tan.f64 x)`
6.4%	1	`x`
6.4%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

simplify5.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 x))))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(approx (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x)))) (tan.f64 x))

soundness1.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Stop Event

1×

done

Compiler

Compiled 77 to 16 computations (79.2% saved)

preprocess26.0ms (1.7%)

Memory: -39.2MiB live, 40.6MiB allocated
Compiler: Compiled 184 to 46 computations (75% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze123.0ms (8.3%)

sample1.0s (70%)

explain99.0ms (6.6%)

preprocess2.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize25.0ms (1.7%)

series5.0ms (0.3%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

simplify0.0ms (0%)

localize29.0ms (1.9%)

series2.0ms (0.1%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval2.0ms (0.1%)

prune5.0ms (0.3%)

simplify1.0ms (0%)

localize36.0ms (2.4%)

series2.0ms (0.1%)

simplify0.0ms (0%)

rewrite1.0ms (0%)

eval5.0ms (0.4%)

prune3.0ms (0.2%)

simplify1.0ms (0%)

localize27.0ms (1.8%)

series3.0ms (0.2%)

simplify0.0ms (0%)

rewrite0.0ms (0%)

eval1.0ms (0.1%)

prune4.0ms (0.2%)

regimes12.0ms (0.8%)

regimes11.0ms (0.7%)

regimes6.0ms (0.4%)

regimes5.0ms (0.3%)

simplify5.0ms (0.3%)

soundness1.0ms (0.1%)

preprocess26.0ms (1.7%)

end0.0ms (0%)

Profiling