Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.6%	50.4%	0%	0%	0%	0
0%	0%	49.6%	50.4%	0%	0%	0%	1
0%	0%	49.6%	50.4%	0%	0%	0%	2
50%	24.8%	24.8%	50.4%	0%	0%	0%	3
75%	37.2%	12.4%	50.4%	0%	0%	0%	4
87.5%	43.4%	6.2%	50.4%	0%	0%	0%	5
93.8%	46.5%	3.1%	50.4%	0%	0%	0%	6
96.9%	48.1%	1.6%	50.4%	0%	0%	0%	7
98.4%	48.8%	0.8%	50.4%	0%	0%	0%	8
99.2%	49.2%	0.4%	50.4%	0%	0%	0%	9
99.6%	49.4%	0.2%	50.4%	0%	0%	0%	10
99.8%	49.5%	0.1%	50.4%	0%	0%	0%	11
99.9%	49.6%	0%	50.4%	0%	0%	0%	12

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.4s (68.9%)

Memory

40.7MiB live, 2 469.3MiB allocated; 519ms collecting garbage

Samples

1.7s	5 844×	2	valid
401.0ms	2 392×	1	valid
1.0ms	20×	0	valid

Precisions

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

ival-cos: 1.2s (68.4% of total)

adjust: 414.0ms (24% of total)

ival-sub: 122.0ms (7.1% of total)

exact: 7.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

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

const: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

Bogosity

explain148.0ms (4.2%)

Memory

3.4MiB live, 240.1MiB allocated; 30ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	2	(-8.797288941458131e-162)	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(cos.f64 x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	132	0

Confusion

	Predicted +	Predicted -
+	130	0
-	2	124

Precision

0.9848484848484849

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	2	0	124

Precision?

0.9848484848484849

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms	360×	2	valid
29.0ms	150×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-cos: 48.0ms (59.2% of total)

adjust: 21.0ms (25.9% of total)

ival-sub: 12.0ms (14.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess173.0ms (4.9%)

Memory

-0.1MiB live, 187.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	29	13
3	39	13
4	83	12
5	367	12
6	2977	12
0	4	4
0	6	4
1	15	4
2	24	4
3	39	4
4	80	4
5	350	4
6	2870	4
0	8162	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

series2.0ms (0%)

Memory

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

Counts

4 → 11

Calls

Call 1

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

Outputs
#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 (- 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
0.0ms	x	@	0	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	inf	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	-inf	((- 1 (cos x)) 1 (cos x) x)

rewrite104.0ms (2.9%)

Memory

-2.9MiB live, 141.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	153
0	56	153
1	286	153
0	2430	145

Stop Event

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

Counts

15 → 30

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#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 (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (cos x) #s(hole binary64 (cos x)))

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

eval4.0ms (0.1%)

Memory: -38.0MiB live, 8.1MiB allocated; 2ms collecting garbage
Compiler: Compiled 341 to 109 computations (68% saved)

prune2.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	4	31

Accuracy

100.0%

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.3%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series8.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

21 → 51

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

rewrite184.0ms (5.2%)

Memory

-4.7MiB live, 217.6MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	1130
0	185	1090
1	661	1090
0	4839	1036

Stop Event

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

Counts

72 → 321

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/13824 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
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(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/373248000 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1/13824 binary64) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/17280 binary64) #s(literal 1/576 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal 1/24 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(.f64 (.f64 #s(literal 1/720 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/720 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/720 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/720 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/720 binary64)))
(.f64 (.f64 x x) #s(literal 1/720 binary64))
(.f64 #s(literal 1/720 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/720 binary64) x))
(neg.f64 (.f64 #s(literal -1/720 binary64) (.f64 x x)))
#s(literal 1/720 binary64)
#s(literal 1/24 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.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(approx (- 1 (cos x)) (.f64 (.f64 (fma.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)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.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(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.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))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#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) #s(literal -1/24 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 (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.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)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/24 binary64))))
#s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal -1/24 binary64)) x) x))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64)))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) #s(literal 1/720 binary64))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64)))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) #s(literal 1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/24 binary64) #s(literal 1/720 binary64)) x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/24 binary64)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))

eval65.0ms (1.8%)

Memory: 33.8MiB live, 88.0MiB allocated; 31ms collecting garbage
Compiler: Compiled 8 992 to 1 480 computations (83.5% saved)

prune14.0ms (0.4%)

Memory

-15.6MiB live, 32.8MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	388	2	390
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	389	5	394

Accuracy

100.0%

Counts

394 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	99.9%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
▶	100.0%	#s(approx (- 1 (cos x)) (.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)) (.f64 x x)))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.3%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 70 to 47 computations (32.9% saved)

series5.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

13 → 29

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* 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 (- 1 (cos x)) (+ (* (* (* x x) -1/24) (* x x)) (* (* x x) 1/2)) (* (* x x) -1/24) (* (* x x) 1/2))
2.0ms	x	@	-inf	((- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* 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 (- 1 (cos x)) (+ (* (* (* x x) -1/24) (* x x)) (* (* x x) 1/2)) (* (* x x) -1/24) (* (* x x) 1/2))
1.0ms	x	@	0	((- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* 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 (- 1 (cos x)) (+ (* (* (* x x) -1/24) (* x x)) (* (* x x) 1/2)) (* (* x x) -1/24) (* (* x x) 1/2))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite119.0ms (3.4%)

Memory

-19.6MiB live, 126.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	663
0	116	631
1	438	626
0	3142	607

Stop Event

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

Counts

42 → 215

Calls

Call 1

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

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

eval49.0ms (1.4%)

Memory: -4.3MiB live, 41.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 7 864 to 1 059 computations (86.5% saved)

prune10.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	322	5	327

Accuracy

100.0%

Counts

327 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	99.9%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓	100.0%	#s(approx (- 1 (cos x)) (.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)) (.f64 x x)))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	99.3%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 165 to 80 computations (51.5% saved)

regimes6.0ms (0.2%)

Memory

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

Counts

7 → 1

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.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)) (.f64 x x)))

Calls

3 calls:

2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))
2.0ms	(cos.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`(cos.f64 x)`
100.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
100.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes61.0ms (1.7%)

Memory

-40.6MiB live, 6.5MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

57.0ms	(cos.f64 x)
2.0ms	x
1.0ms	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.9%	1	`(cos.f64 x)`
99.9%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(cos.f64 x)`
99.9%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.7MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify39.0ms (1.1%)

Memory

-16.0MiB live, 27.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	34	70
2	47	70
3	67	70
4	116	70
5	564	70

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations73.0ms (2.1%)

Memory

-3.0MiB live, 48.2MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 70 to 24 computations (65.7% saved)

preprocess26.0ms (0.7%)

Memory: 42.2MiB live, 42.2MiB allocated; 0ms collecting garbage
Remove: (abs x)
Compiler: Compiled 208 to 94 computations (54.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample2.4s (68.9%)

explain148.0ms (4.2%)

preprocess173.0ms (4.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0%)

rewrite104.0ms (2.9%)

eval4.0ms (0.1%)

prune2.0ms (0%)

series8.0ms (0.2%)

rewrite184.0ms (5.2%)

eval65.0ms (1.8%)

prune14.0ms (0.4%)

series5.0ms (0.1%)

rewrite119.0ms (3.4%)

eval49.0ms (1.4%)

prune10.0ms (0.3%)

regimes6.0ms (0.2%)

regimes61.0ms (1.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify39.0ms (1.1%)

derivations73.0ms (2.1%)

preprocess26.0ms (0.7%)

end0.0ms (0%)

Profiling