Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB 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)

sample1.9s (62.8%)

Memory

60.9MiB live, 2 196.4MiB allocated; 592ms collecting garbage

Samples

1.4s	5 828×	2	valid
168.0ms	2 414×	1	valid
1.0ms	14×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-cos: 1.0s (77% of total)

adjust: 225.0ms (16.9% of total)

ival-sub!: 82.0ms (6.1% of total)

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

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

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

Bogosity

preprocess39.0ms (1.3%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	53	13
3	188	13
4	1365	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series2.0ms (0.1%)

Memory

0.9MiB live, 0.9MiB 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	@	inf	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	0	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	-inf	((- 1 (cos x)) 1 (cos x) x)

rewrite130.0ms (4.3%)

Memory

-19.9MiB live, 80.7MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	153
0	56	153
1	286	153
0	2410	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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.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))
(sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(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)))))
(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 (.f64 (fma.f64 (.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)) x) x #s(literal 1/2 binary64)) 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 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) x) x) #s(literal 1/2 binary64)) 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: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 339 to 115 computations (66.1% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	22	4	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	4	27

Accuracy

100.0%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/720 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.1%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 52 to 38 computations (26.9% saved)

series29.0ms (1%)

Memory

-32.7MiB live, 12.6MiB allocated; 5ms collecting garbage

Counts

21 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (- 1 (cos x)) 1 (cos x))
3.0ms	x	@	inf	((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (- 1 (cos x)) 1 (cos x))
2.0ms	x	@	0	((- 1 (cos x)) (* (* x x) 1/2) (* x x) x 1/2 (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) -1/24 (- 1 (cos x)) (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (- (* 1/720 (* x x)) 1/24) (* 1/720 (* x x)) 1/720 1/24 (- 1 (cos x)) 1 (cos x))

Time

Variable

Point

Expression

24.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite248.0ms (8.2%)

Memory

-23.4MiB live, 150.7MiB allocated; 155ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	150	908
0	172	873
1	642	873
0	4793	828

Stop Event

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

Counts

61 → 310

Calls

Call 1

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/2 binary64) x))
(neg.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -1/24 binary64))) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/24 binary64) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(fma.f64 x (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 x x) #s(literal -1/24 binary64))))
(+.f64 (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x)))) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x))) x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) x) (fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/13824 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/576 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64))))))
(fma.f64 (.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
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(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(approx (cos x) #s(literal 1 binary64))) #s(approx (cos x) #s(literal 1 binary64))) (fma.f64 #s(approx (cos x) #s(literal 1 binary64)) (+.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- (* 1/720 (* x x)) 1/24) #s(literal -1/24 binary64))
#s(approx (- (* 1/720 (* x x)) 1/24) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))
#s(approx (* 1/720 (* x x)) (.f64 (.f64 x x) #s(literal 1/720 binary64)))
(*.f64 #s(approx (cos x) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos x) #s(literal 1 binary64))) #s(literal 2 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) #s(literal 1/24 binary64)) x) (.f64 x x)))
#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 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.f64 (.f64 #s(literal 1/720 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) x) (.f64 (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#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)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x)))))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) #s(literal 1/720 binary64))))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/720 binary64)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 1/24 binary64) (.f64 x x))) #s(literal 1/720 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (- (* 1/720 (* x x)) 1/24) (.f64 (.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) x) x))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (neg.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (- (* 1/720 (* x x)) 1/24) (* x x)) 1/2) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 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 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/720 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))

eval30.0ms (1%)

Memory: 35.1MiB live, 35.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 8 381 to 1 342 computations (84% saved)

prune27.0ms (0.9%)

Memory

-40.3MiB live, 14.3MiB allocated; 11ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	319	5	324
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	320	8	328

Accuracy

100.0%

Counts

328 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x x)) x)))
▶	99.9%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
▶	100.0%	#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))
✓	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))
▶	53.7%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x) x))
✓	99.1%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 243 to 166 computations (31.7% saved)

series13.0ms (0.4%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Counts

33 → 50

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x)) (* 1/2 x) 1/2 x (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* x x) 1/720 -1/24 (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* -1/24 x) (* (* x x) x))) (* (* -1/24 x) (* (* x x) x)) (* -1/24 x) (* (* x x) x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (* (* (- (/ 1/2 (* x x)) 1/24) x) x) (* (- (/ 1/2 (* x x)) 1/24) x) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/24 (- 1 (cos x)) (* (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2))
4.0ms	x	@	inf	((- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x)) (* 1/2 x) 1/2 x (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* x x) 1/720 -1/24 (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* -1/24 x) (* (* x x) x))) (* (* -1/24 x) (* (* x x) x)) (* -1/24 x) (* (* x x) x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (* (* (- (/ 1/2 (* x x)) 1/24) x) x) (* (- (/ 1/2 (* x x)) 1/24) x) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/24 (- 1 (cos x)) (* (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2))
3.0ms	x	@	0	((- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x)) (* 1/2 x) 1/2 x (* (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) (* x x)) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* x x) 1/720 -1/24 (- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (- 1 (cos x)) (+ (* (* 1/2 x) x) (* (* -1/24 x) (* (* x x) x))) (* (* -1/24 x) (* (* x x) x)) (* -1/24 x) (* (* x x) x) (- 1 (cos x)) (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (* (+ (* -1/24 (* x x)) 1/2) x) (+ (* -1/24 (* x x)) 1/2) (* (* (- (/ 1/2 (* x x)) 1/24) x) x) (* (- (/ 1/2 (* x x)) 1/24) x) (- (/ 1/2 (* x x)) 1/24) (/ 1/2 (* x x)) 1/24 (- 1 (cos x)) (* (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) x) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2))

Time

Variable

Point

Expression

4.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

rewrite170.0ms (5.6%)

Memory

-12.8MiB live, 260.5MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1334
0	230	1235
1	743	1211
0	4787	1179

Stop Event

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

Counts

83 → 589

Calls

Call 1

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

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

eval72.0ms (2.4%)

Memory: 25.0MiB live, 166.5MiB allocated; 34ms collecting garbage
Compiler: Compiled 16 200 to 2 461 computations (84.8% saved)

prune14.0ms (0.5%)

Memory

-16.7MiB live, 29.2MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	539	1	540
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	539	9	548

Accuracy

100.0%

Counts

548 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x x)) x)))
✓	99.9%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#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))
✓	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))
✓	53.7%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x) x))
▶	98.6%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x)) x) x))
✓	99.1%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 169 to 116 computations (31.4% saved)

series5.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

9 → 22

Calls

Call 1

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite91.0ms (3%)

Memory

9.1MiB live, 104.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	512
0	91	498
1	359	498
0	2491	474

Stop Event

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

Counts

31 → 43

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 964 to 196 computations (79.7% saved)

prune5.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	1	0	1
Done	0	8	8
Total	33	9	42

Accuracy

100.0%

Counts

42 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.0%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (.f64 x x)) x)))
✓	99.9%	#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
✓	100.0%	#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))
✓	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))
✓	53.7%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x) x))
	98.6%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x))))
✓	99.1%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 395 to 187 computations (52.7% saved)

regimes13.0ms (0.4%)

Memory

-26.3MiB live, 19.0MiB allocated; 5ms collecting garbage

Counts

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

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

Calls

3 calls:

7.0ms	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

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Counts

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

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

14.5MiB live, 14.5MiB 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 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x))))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x)) 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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (.f64 #s(literal -1/24 binary64) x) (.f64 (*.f64 x x) x))))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/24 binary64)) x) x)) x) x))

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

Calls

3 calls:

2.0ms	x
2.0ms	(cos.f64 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)

regimes9.0ms (0.3%)

Memory

-33.2MiB live, 12.5MiB allocated; 5ms 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 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x))))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x)) 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 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))

Outputs
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 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 (0.2%)

Memory

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

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)

regimes4.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB 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 x x) #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x))))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) (.f64 #s(approx ( (- (/ 1/2 (* x x)) 1/24) x) (/.f64 #s(literal 1/2 binary64) x)) x)) x) x))

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

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
99.1%	1	`(cos.f64 x)`
99.1%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.1%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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
48.0%	1	`(cos.f64 x)`
48.0%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
48.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations134.0ms (4.4%)

Memory

-6.4MiB live, 131.1MiB allocated; 58ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 109 to 36 computations (67% saved)

preprocess60.0ms (2%)

Memory: 1.5MiB live, 146.8MiB allocated; 18ms collecting garbage
Remove: (abs x)
Compiler: Compiled 341 to 197 computations (42.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.9s (62.8%)

preprocess39.0ms (1.3%)

series2.0ms (0.1%)

rewrite130.0ms (4.3%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series29.0ms (1%)

rewrite248.0ms (8.2%)

eval30.0ms (1%)

prune27.0ms (0.9%)

series13.0ms (0.4%)

rewrite170.0ms (5.6%)

eval72.0ms (2.4%)

prune14.0ms (0.5%)

series5.0ms (0.2%)

rewrite91.0ms (3%)

eval3.0ms (0.1%)

prune5.0ms (0.2%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

derivations134.0ms (4.4%)

preprocess60.0ms (2%)

end0.0ms (0%)

Profiling