Metrics for cos2 (problem 3.4.1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.6s (48.1%)

Memory

72.3MiB live, 1 478.7MiB allocated; 273ms collecting garbage

Samples

561.0ms	2 202×	2	valid
391.0ms	4 230×	0	valid
294.0ms	647×	3	valid
98.0ms	1 177×	1	valid

Precisions

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

ival-cos: 796.0ms (70.5% of total)

adjust: 107.0ms (9.5% of total)

ival-mult!: 93.0ms (8.2% of total)

ival-div!: 76.0ms (6.7% of total)

ival-sub!: 57.0ms (5% of total)

Bogosity

preprocess37.0ms (1.1%)

Memory

-1.3MiB live, 43.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	60	24
2	267	24
3	1224	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series3.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

6 → 17

Calls

Call 1

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

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

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

rewrite163.0ms (4.8%)

Memory

-2.4MiB live, 194.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	264
0	70	264
1	370	264
2	2603	264

Stop Event

1×	iter-limit
1×	unsound
1×	node-limit
1×	iter-limit

Counts

23 → 13

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(*.f64 x x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx x x)
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))

eval1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 47 to 29 computations (38.3% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	3	8

Accuracy

99.2%

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
▶	26.6%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	52.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Status

Accuracy

Program

✓

49.9%

(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

▶

26.6%

(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))

▶

52.5%

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 21 to 21 computations (0% saved)

series4.0ms (0.1%)

Memory

-42.9MiB live, 4.0MiB allocated; 2ms collecting garbage

Counts

8 → 17

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)
1.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)
0.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)

Time

Variable

Point

Expression

1.0ms

inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)

1.0ms

-inf

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)

0.0ms

((/ (- 1 (cos x)) (* x x)) 1/2 (/ (- 1 (cos x)) (* x x)) (- 1 (cos x)) 1 (cos x) (* x x) x)

rewrite184.0ms (5.4%)

Memory

17.1MiB live, 217.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	281
0	67	281
1	392	281
2	2761	281
0	8090	263
1	21686	263

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 174

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))))
#s(approx (- 1 (cos x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))))
(.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (fabs.f64 x))
(/.f64 (-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x))) (fabs.f64 x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 x x) (.f64 (neg.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (neg.f64 x) (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 x x) (.f64 (fabs.f64 x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (fabs.f64 x) (.f64 x x)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x) (.f64 x (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (.f64 x x) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (.f64 x x) (neg.f64 #s(approx (cos x) #s(literal 1 binary64))))) (.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (fabs.f64 x)) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 (neg.f64 x) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) x) (.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (.f64 x x)) (.f64 (neg.f64 x) #s(literal -1 binary64))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (.f64 x x)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (neg.f64 x)) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (fabs.f64 x)) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) x) (.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (.f64 x x)) (.f64 (fabs.f64 x) #s(literal -1 binary64))) (.f64 (fabs.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (.f64 x x)) (.f64 (fabs.f64 x) #s(literal 1 binary64))) (.f64 (fabs.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (neg.f64 x)) (.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 x)))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (fabs.f64 x)) (.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal 1 binary64))) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (neg.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (fabs.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (*.f64 x x) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) x) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))) (.f64 (*.f64 x x) x))
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (neg.f64 #s(approx (cos x) #s(literal 1 binary64))) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) (fabs.f64 x)) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (*.f64 x x) (fabs.f64 x)))
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x
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eval19.0ms (0.6%)

Memory: -19.4MiB live, 35.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 523 to 466 computations (69.4% saved)

prune7.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	158	9	167

Accuracy

99.3%

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
▶	6.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
	4.6%	(/.f64 (-.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
✓	26.6%	(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
▶	31.7%	(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
▶	51.3%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
▶	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	52.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Compiler

Compiled 175 to 159 computations (9.1% saved)

series17.0ms (0.5%)

Memory

-19.1MiB live, 27.5MiB allocated; 4ms collecting garbage

Counts

29 → 70

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal -1/720 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
(*.f64 x #s(literal -1 binary64))
(.f64 (.f64 x x) x)

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* 1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ -1 (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (- (* -1/720 (pow x 2)) 1/24)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* 2 x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (* x -1) #s(hole binary64 (* -1 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* 1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/40320 (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/24 (pow x 4))))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* 1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* 1/40320 (pow x 4))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (* 1/40320 (pow x 2))))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1/24 (pow x 4)) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))))
#s(approx (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (cos x)) 1) (pow x 2)))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (cos x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))
5.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))
3.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))

Time

Variable

Point

Expression

7.0ms

inf

((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))

5.0ms

-inf

((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))

3.0ms

((/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* 1/40320 (* x x)) 1/720) 1/40320 (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ (cos x) (* x x)) (cos x) 1 (/ -1 (* x x)) -1 (/ (- 1 (cos x)) (* x x)) (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (+ (* -1/720 (* x x)) -1/24) -1/720 (+ (* (/ 1 x) (/ 1 x)) (/ (cos x) (* x x))) (/ 1 x) (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (/ (cos x) x) (* x x)) (/ (cos x) x) (* x -1) (* (* x x) x))

rewrite294.0ms (8.6%)

Memory

67.5MiB live, 273.7MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1656
0	276	1542
1	1391	1524
0	8687	1454
1	25057	1454

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

99 → 672

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal 1/40320 binary64)
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal -1/720 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x))
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
(*.f64 x #s(literal -1 binary64))
(.f64 (.f64 x x) x)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24)))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* 1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* 1/40320 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ -1 (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* -1/720 (pow x 2)) 1/24)))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (- (* -1/720 (pow x 2)) 1/24)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* 2 x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* -1/2 (pow x 2))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* -1/2 (pow x 2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (* x -1) #s(hole binary64 (* -1 x)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* 1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ 1/40320 (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (/ 1/24 (pow x 4))))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* 1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* 1/40320 (pow x 4))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))) (/ 1/24 (pow x 4))))))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (* 1/40320 (pow x 2))))
#s(approx (+ (* 1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 1 (cos x)) (pow x 2))))
#s(approx (/ (cos x) (* x x)) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1/720 (pow x 4))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* -1 (* (pow x 4) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (/ 1/2 (pow x 4)) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (* -1/720 (pow x 2))))
#s(approx (+ (* -1/720 (* x x)) -1/24) #s(hole binary64 (* -1 (* (pow x 2) (+ 1/720 (* 1/24 (/ 1 (pow x 2))))))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* x (+ 1 (cos x)))))
#s(approx (* (/ (cos x) x) (* x x)) #s(hole binary64 (* x (cos x))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (/ 1/24 (pow x 4)) (+ 1/40320 (* 1/720 (/ 1 (pow x 2)))))))))
#s(approx (/ (- (* (/ (cos x) x) (* x x)) (* x -1)) (* (* x x) x)) #s(hole binary64 (* -1 (/ (- (* -1 (cos x)) 1) (pow x 2)))))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) #s(hole binary64 (* -1 (* x (- (* -1 (cos x)) 1)))))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x)))
(neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x))) #s(literal 1/2 binary64)))
(neg.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x))))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64)) x) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)) x))
(neg.f64 (.f64 x (-.f64 #s(literal 1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) x (.f64 #s(literal -1/24 binary64) x))
(fma.f64 #s(literal -1/24 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))
(fma.f64 #s(literal -1/24 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) x))
(fma.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) (.f64 #s(literal -1/24 binary64) x))
(fma.f64 x #s(literal -1/24 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))
(fma.f64 x #s(literal -1/24 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) x) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))
(+.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal -1/24 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/40320 binary64) #s(literal 1/720 binary64)) x) x)))
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#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (/ -1 (* x x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/720 (* x x)) -1/24) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 2 binary64)) x))
#s(approx (* (/ (cos x) x) (* x x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (cos x) x) (* x x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ (cos x) x) (* x x)) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ (cos x) x) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (* x -1) (neg.f64 x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x)))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/40320 binary64)))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64)) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/720 binary64) (.f64 x x))) #s(literal -1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (*.f64 x x) x) x))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/40320 binary64)))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal -1/40320 binary64))))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/40320 binary64)))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64))))
#s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) (.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal -1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* 1/40320 (* x x)) 1/720) (.f64 (.f64 x x) #s(literal 1/40320 binary64)))
#s(approx (+ (* 1/40320 (* x x)) 1/720) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal -1/40320 binary64)) x) x))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (/ (cos x) (* x x)) (/.f64 (cos.f64 x) (*.f64 x x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/720 binary64)))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* -1/720 (* x x)) -1/24) (* x x)) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* -1/720 (* x x)) -1/24) (.f64 (.f64 x x) #s(literal -1/720 binary64)))
#s(approx (+ (* -1/720 (* x x)) -1/24) (.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (*.f64 x x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (fma.f64 (cos.f64 x) x x))
#s(approx (* (/ (cos x) x) (* x x)) (*.f64 (cos.f64 x) x))
#s(approx (/ (cos x) x) (/.f64 (cos.f64 x) x))
#s(approx (* (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 (/.f64 #s(literal -1/720 binary64) (*.f64 x x)) #s(literal 1/40320 binary64)))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (-.f64 (cos.f64 x) #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (fma.f64 (cos.f64 x) x x))

eval100.0ms (2.9%)

Memory: -41.6MiB live, 66.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 5 166 to 1 775 computations (65.6% saved)

prune21.0ms (0.6%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	505	20	525
Fresh	1	0	1
Picked	5	0	5
Done	1	2	3
Total	512	22	534

Accuracy

99.4%

Counts

534 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) x)))
	31.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
	31.7%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))))
▶	31.8%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
	5.3%	(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) x)))
	4.6%	(/.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
	6.1%	(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))
	31.7%	(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (.f64 x x)) x)
	31.8%	(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	30.7%	(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
	4.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (*.f64 x x))))
▶	31.7%	(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	31.7%	(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
	30.7%	(.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
	4.6%	(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
▶	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
▶	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
	51.4%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	52.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
▶	31.7%	#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

Compiler

Compiled 500 to 462 computations (7.6% saved)

series59.0ms (1.7%)

Memory

-41.0MiB live, 8.6MiB allocated; 6ms collecting garbage

Counts

27 → 55

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ -1 (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
53.0ms	x	@	-inf	((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)
3.0ms	x	@	inf	((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)
2.0ms	x	@	0	((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)

Time

Variable

Point

Expression

53.0ms

-inf

((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)

3.0ms

inf

((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)

2.0ms

((/ (- 1 (cos x)) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (* x x) x 1/720 -1/24 1/2 (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/ 2 (* x x)) 2 (- (/ (/ (cos x) x) x) (/ -1 (* x x))) (/ (/ (cos x) x) x) (/ (cos x) x) (cos x) 1 (/ -1 (* x x)) -1 (+ (* (/ 1 x) (/ 1 x)) (* (/ (cos x) x) (/ 1 x))) (/ 1 x) (* (/ (cos x) x) (/ 1 x)) (/ (- 1 (cos x)) (* x x)) (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) (+ (* -1/40320 (* x x)) 1/720) -1/40320)

rewrite295.0ms (8.7%)

Memory

-10.1MiB live, 205.0MiB allocated; 120ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	194	1306
0	223	1231
1	1116	1212
2	7036	1212
0	8055	1175
1	23408	1175

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

82 → 506

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x)
(/.f64 #s(approx (cos x) #s(literal 1 binary64)) x)
#s(approx (cos x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (.f64 x x) #s(literal -1/24 binary64))
(fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64))
#s(literal -1/40320 binary64)
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 1/2))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* -1/24 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 -1/24))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (- (* 1/720 (pow x 2)) 1/24)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ 2 (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* -1/2 (pow x 2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) x)))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) x)))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx (/ -1 (* x x)) #s(hole binary64 (/ -1 (pow x 2))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/24 x)))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* 1/720 (pow x 2)) 1/24))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* x (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24)))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 1/720))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (+ 1/720 (* -1/40320 (pow x 2)))))
#s(approx (/ (- 1 (cos x)) (* x x)) #s(hole binary64 (/ (- 1 (cos x)) (pow x 2))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* 1/720 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) #s(hole binary64 (* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* 1/720 (pow x 2))))
#s(approx (+ (* (* x x) 1/720) -1/24) #s(hole binary64 (* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) #s(hole binary64 (/ (+ 1 (cos x)) (pow x 2))))
#s(approx (/ (/ (cos x) x) x) #s(hole binary64 (/ (cos x) (pow x 2))))
#s(approx (/ (cos x) x) #s(hole binary64 (/ (cos x) x)))
#s(approx (cos x) #s(hole binary64 (cos x)))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* -1/40320 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) x) 1/2) #s(hole binary64 (* (pow x 6) (- (+ (* 1/720 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1/40320 (pow x 5))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* (pow x 5) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* -1/40320 (pow x 4))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(hole binary64 (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) (+ 1/40320 (/ 1/24 (pow x 4)))))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* -1/40320 (pow x 2))))
#s(approx (+ (* -1/40320 (* x x)) 1/720) #s(hole binary64 (* (pow x 2) (- (* 1/720 (/ 1 (pow x 2))) 1/40320))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- 1/40320 (* 1/720 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 1/40320 (/ 1/24 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))))))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
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#s(literal -1/40320 binary64)
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#s(approx (* (+ (* (+ (* -1/40320 (* x x)) 1/720) (* x x)) -1/24) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/40320 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))

eval54.0ms (1.6%)

Memory: 0.5MiB live, 91.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 4 253 to 1 626 computations (61.8% saved)

prune19.0ms (0.6%)

Memory

31.1MiB live, 31.1MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	452	5	457
Fresh	3	12	15
Picked	1	4	5
Done	0	2	2
Total	456	23	479

Accuracy

99.4%

Counts

479 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.1%	(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) x)))
	31.3%	(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
	5.3%	(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) x)))
	4.6%	(/.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
	6.1%	(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))
	31.7%	(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (.f64 x x)) x)
	6.1%	(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
✓	49.9%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))
	30.7%	(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
	4.6%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (*.f64 x x))))
✓	31.7%	(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
	31.3%	(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
	30.7%	(.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
	4.6%	(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
	30.7%	(.f64 (-.f64 (.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x) (.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
✓	51.8%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
✓	51.5%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
	51.4%	#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
✓	52.5%	#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
	31.8%	#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
✓	31.7%	#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
	31.7%	#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
	31.8%	#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 553 to 400 computations (27.7% saved)

regimes39.0ms (1.2%)

Memory

-46.7MiB live, 13.1MiB allocated; 5ms collecting garbage

Counts

34 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (-.f64 (.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x) (.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))

(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Calls

2 calls:

30.0ms	x
7.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))

Results

Accuracy	Segments	Branch
74.7%	2	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
99.3%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes10.0ms (0.3%)

Memory

7.7MiB live, 7.7MiB allocated; 0ms collecting garbage

Counts

33 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (-.f64 (.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x) (.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 x x) (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 (.f64 x x) x)) (/.f64 x (.f64 (*.f64 x x) x)))
(fma.f64 (/.f64 (.f64 x x) (.f64 x x)) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 x (.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (.f64 x x)) (*.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
80.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes7.0ms (0.2%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (/.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) x))
(/.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x (.f64 x x)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))
(.f64 (fma.f64 (.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) x x) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
80.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(approx (- (* (/ (cos x) x) (* x x)) (* x -1)) (+.f64 x x)) (.f64 (.f64 x x) x))
(-.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) (.f64 x x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(approx (cos x) #s(literal 1 binary64)) x) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
80.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal -1 binary64)) x) x)

Outputs

#s(approx (/ (- 1 (cos x)) (* x x)) (fma.f64 (*.f64 #s(approx (+ (* (+ (* 1/40320 (* x x)) 1/720) (* x x)) -1/24) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 (/.f64 #s(literal 2 binary64) x) x))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
80.1%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))
#s(approx (- (/ (cos x) (* x x)) (/ -1 (* x x))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
80.0%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes2.0ms (0.1%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Outputs
#s(approx (/ (- 1 (cos x)) (* x x)) #s(literal 1/2 binary64))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.5%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`
52.5%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch9.0ms (0.3%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	0.04292280073766953	130582.40803380658

Samples

4.0ms

96×

valid

Compiler

Compiled 149 to 154 computations (-3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 2.0ms (72% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch12.0ms (0.4%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04292280073766953	130582.40803380658

Samples

7.0ms

112×

valid

Compiler

Compiled 290 to 289 computations (0.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-cos: 4.0ms (80.4% of total)

ival-mult!: 1.0ms (20.1% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch7.0ms (0.2%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.04292280073766953	130582.40803380658

Samples

4.0ms

64×

valid

Compiler

Compiled 263 to 262 computations (0.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-cos: 2.0ms (74.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch10.0ms (0.3%)

Memory

-44.0MiB live, 3.2MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.04292280073766953	130582.40803380658

Samples

2.0ms

32×

valid

Compiler

Compiled 326 to 316 computations (3.1% saved)

Precisions

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

ival-cos: 1.0ms (75% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04292280073766953	130582.40803380658

Compiler

Compiled 308 to 298 computations (3.2% saved)

bsearch5.0ms (0.2%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	0.04292280073766953	130582.40803380658

Samples

3.0ms

48×

valid

Compiler

Compiled 191 to 199 computations (-4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-cos: 1.0ms (50.4% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.04292280073766953	130582.40803380658

Compiler

Compiled 191 to 199 computations (-4.2% saved)

derivations298.0ms (8.8%)

Memory

1.3MiB live, 185.5MiB allocated; 24ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 92 to 64 computations (30.4% saved)

preprocess79.0ms (2.3%)

Memory: 4.2MiB live, 97.7MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 522 to 438 computations (16.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.0ms (0%)

sample1.6s (48.1%)

preprocess37.0ms (1.1%)

series3.0ms (0.1%)

rewrite163.0ms (4.8%)

eval1.0ms (0%)

prune1.0ms (0%)

series4.0ms (0.1%)

rewrite184.0ms (5.4%)

eval19.0ms (0.6%)

prune7.0ms (0.2%)

series17.0ms (0.5%)

rewrite294.0ms (8.6%)

eval100.0ms (2.9%)

prune21.0ms (0.6%)

series59.0ms (1.7%)

rewrite295.0ms (8.7%)

eval54.0ms (1.6%)

prune19.0ms (0.6%)

regimes39.0ms (1.2%)

regimes10.0ms (0.3%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

regimes2.0ms (0.1%)

bsearch9.0ms (0.3%)

bsearch12.0ms (0.4%)

bsearch7.0ms (0.2%)

bsearch10.0ms (0.3%)

bsearch1.0ms (0%)

bsearch5.0ms (0.2%)

bsearch1.0ms (0%)

derivations298.0ms (8.8%)

preprocess79.0ms (2.3%)

end0.0ms (0%)

Profiling