Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze6.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB 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 (65.7%)

Memory

66.6MiB live, 2 281.3MiB allocated; 1.3s collecting garbage

Samples

1.8s	5 771×	2	valid
251.0ms	2 469×	1	valid
1.0ms	16×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-cos: 1.2s (73.8% of total)

adjust: 276.0ms (17.2% of total)

ival-sub: 134.0ms (8.4% 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

explain151.0ms (4.1%)

Memory

15.2MiB live, 208.6MiB allocated; 37ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	133	0

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	133

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	354×	2	valid
33.0ms	158×	1	valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-cos: 61.0ms (61.3% of total)

adjust: 30.0ms (30.2% of total)

ival-sub: 7.0ms (7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess211.0ms (5.8%)

Memory

-9.2MiB live, 176.8MiB allocated; 43ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune14.0ms (0.4%)

Memory

20.5MiB live, 20.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Compiler

Compiled 4 to 4 computations (0% saved)

series2.0ms (0%)

Memory

3.8MiB live, 3.8MiB 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
1.0ms	x	@	0	((- 1 (cos x)) 1 (cos x) x)
1.0ms	x	@	inf	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	-inf	((- 1 (cos x)) 1 (cos x) x)

rewrite89.0ms (2.4%)

Memory

9.9MiB live, 99.5MiB allocated; 16ms 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))

eval3.0ms (0.1%)

Memory: 6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 341 to 109 computations (68% saved)

prune4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	6	31

Accuracy

100.0%

Counts

31 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	52.6%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
	100.0%	#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)))
▶	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))
▶	98.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 178 to 124 computations (30.3% saved)

series13.0ms (0.3%)

Memory

-29.1MiB live, 16.6MiB allocated; 6ms collecting garbage

Counts

25 → 55

Calls

Call 1

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

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 (* (* (+ (* (- (* 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 (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 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 (* (* x x) 1/2) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#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 (cos x)) #s(hole binary64 (- 1 (cos x))))
#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 (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* -1/2 (pow x 2))))
#s(approx (+ (* -1/2 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))))
#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) #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))))))))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/24 (* 1/2 (/ 1 (pow x 2))))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- 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 (* x x) x 1/24 1/2 (- 1 (cos x)) 1 (cos x) (- 1 (cos x)) (* (* x x) 1/2) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -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)
3.0ms	x	@	inf	((- 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 (* x x) x 1/24 1/2 (- 1 (cos x)) 1 (cos x) (- 1 (cos x)) (* (* x x) 1/2) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -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)
3.0ms	x	@	-inf	((- 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 (* x x) x 1/24 1/2 (- 1 (cos x)) 1 (cos x) (- 1 (cos x)) (* (* x x) 1/2) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) -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)

Time

Variable

Point

Expression

6.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

rewrite171.0ms (4.7%)

Memory

-4.8MiB live, 186.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	1209
0	200	1165
1	717	1165
0	5180	1108

Stop Event

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

Counts

80 → 374

Calls

Call 1

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

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

eval56.0ms (1.5%)

Memory: -4.2MiB live, 95.3MiB allocated; 15ms collecting garbage
Compiler: Compiled 10 250 to 1 719 computations (83.2% saved)

prune13.0ms (0.4%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	458	4	462
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	461	7	468

Accuracy

100.0%

Counts

468 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	52.6%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 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)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) x))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (.f64 #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))
▶	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 115 to 79 computations (31.3% saved)

series12.0ms (0.3%)

Memory

-30.6MiB live, 16.6MiB allocated; 2ms collecting garbage

Counts

22 → 73

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- 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) 1/2 x (- 1 (cos x)) (* (+ (* (* (* x x) -1/24) x) (* 1/2 x)) x) (+ (* (* (* x x) -1/24) x) (* 1/2 x)) (* (* x x) -1/24) (* x x) -1/24 (* 1/2 x) (- 1 (cos x)) (* (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) x) (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) 1/720 (- 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))
4.0ms	x	@	inf	((- 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) 1/2 x (- 1 (cos x)) (* (+ (* (* (* x x) -1/24) x) (* 1/2 x)) x) (+ (* (* (* x x) -1/24) x) (* 1/2 x)) (* (* x x) -1/24) (* x x) -1/24 (* 1/2 x) (- 1 (cos x)) (* (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) x) (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) 1/720 (- 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))
2.0ms	x	@	0	((- 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) 1/2 x (- 1 (cos x)) (* (+ (* (* (* x x) -1/24) x) (* 1/2 x)) x) (+ (* (* (* x x) -1/24) x) (* 1/2 x)) (* (* x x) -1/24) (* x x) -1/24 (* 1/2 x) (- 1 (cos x)) (* (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) x) (+ (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* 1/2 x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) 1/720 (- 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))

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

2.0ms

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

rewrite166.0ms (4.5%)

Memory

-55.2MiB live, 151.3MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	1936
0	214	1892
1	681	1770
0	4423	1726

Stop Event

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

Counts

95 → 408

Calls

Call 1

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

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

eval55.0ms (1.5%)

Memory: -3.1MiB live, 88.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 766 to 1 738 computations (86.4% saved)

prune15.0ms (0.4%)

Memory

38.2MiB live, 38.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	495	0	495
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	495	7	502

Accuracy

100.0%

Counts

502 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.2%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	52.6%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 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)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) x))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (.f64 #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))
✓	99.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Compiler

Compiled 291 to 142 computations (51.2% saved)

regimes11.0ms (0.3%)

Memory

-36.9MiB live, 15.3MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

3 calls:

5.0ms	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)

regimes7.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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))

Calls

3 calls:

3.0ms	x
2.0ms	(cos.f64 x)
2.0ms	(-.f64 #s(literal 1 binary64) (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)

regimes6.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB 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 #s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 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 (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (.f64 #s(literal 1/2 binary64) x)) x))
#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)))

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)

regimes7.0ms (0.2%)

Memory

-34.8MiB live, 12.3MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

3 calls:

3.0ms	(cos.f64 x)
2.0ms	x
2.0ms	(-.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)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Counts

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

2.0ms	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)

regimes5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms 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 #s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(cos.f64 x)`
99.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB 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
98.9%	1	`(cos.f64 x)`
98.9%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
98.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB 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
52.6%	1	`(cos.f64 x)`
52.6%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
52.6%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

simplify53.0ms (1.5%)

Memory

-25.8MiB live, 21.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	135
1	68	135
2	127	135
3	238	135
4	375	135
5	846	135

Stop Event

1×	node limit

Calls

Call 1

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

derivations106.0ms (2.9%)

Memory

39.6MiB live, 86.6MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 135 to 49 computations (63.7% saved)

preprocess71.0ms (1.9%)

Memory: -32.8MiB live, 59.5MiB allocated; 15ms collecting garbage
Remove: (abs x)
Compiler: Compiled 342 to 148 computations (56.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.2%)

sample2.4s (65.7%)

explain151.0ms (4.1%)

preprocess211.0ms (5.8%)

eval0.0ms (0%)

prune14.0ms (0.4%)

series2.0ms (0%)

rewrite89.0ms (2.4%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

series13.0ms (0.3%)

rewrite171.0ms (4.7%)

eval56.0ms (1.5%)

prune13.0ms (0.4%)

series12.0ms (0.3%)

rewrite166.0ms (4.5%)

eval55.0ms (1.5%)

prune15.0ms (0.4%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify53.0ms (1.5%)

derivations106.0ms (2.9%)

preprocess71.0ms (1.9%)

end0.0ms (0%)

Profiling