Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

7.0MiB live, 7.0MiB 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)

sample3.1s (45.2%)

Memory

-4.4MiB live, 1 529.8MiB allocated; 359ms collecting garbage

Samples

2.0s	5 901×	2	valid
619.0ms	2 342×	1	valid
1.0ms	13×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-cos: 1.7s (77% of total)

adjust: 319.0ms (14.3% of total)

ival-sub!: 194.0ms (8.7% of total)

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

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

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

Bogosity

preprocess130.0ms (1.9%)

Memory

-5.0MiB live, 39.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	53	13
3	187	13
4	1344	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	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)

rewrite1.2s (17.6%)

Memory

-15.9MiB live, 428.0MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	153
0	56	153
1	135	153
2	361	153
3	1353	153
4	4472	153
0	8915	153
0	40373	142

Stop Event

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

Counts

15 → 293

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 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))) (sin.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(fma.f64 (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 8 binary64))) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 8 binary64)) #s(literal -4 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal -2 binary64) #s(literal 1 binary64))
(fma.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) x) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)) (PI.f64)) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 (-.f64 x (PI.f64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 (-.f64 x (PI.f64)))) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 0 binary64)) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) #s(literal -2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x))) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) #s(literal -2 binary64))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(+.f64 (/.f64 (cos.f64 x) #s(literal -2 binary64)) (fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))) (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 x (PI.f64)) #s(literal -2 binary64)))))
(+.f64 (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))) (.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (PI.f64) x) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) #s(literal 2 binary64))
(*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x)))
(*.f64 #s(literal 4 binary64) (/.f64 (cos.f64 x) #s(literal 4 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 (-.f64 x (PI.f64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 (-.f64 x (PI.f64)))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 0 binary64)) x) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (-.f64 x (-.f64 #s(literal 0 binary64) x)) (PI.f64)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 #s(literal -2 binary64) (neg.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal -1/2 binary64) x))))))
(.f64 #s(literal -2 binary64) (neg.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) x))) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) x))))))
(.f64 #s(literal -2 binary64) (neg.f64 (.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -1/2 binary64) x))) (sin.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (PI.f64) #s(literal 4 binary64)))))))
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(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x)))
(-.f64 (cos.f64 x) #s(literal 0 binary64))
(cos.f64 (+.f64 (neg.f64 (PI.f64)) (-.f64 x (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (asin.f64 #s(literal 0 binary64)))))
(cos.f64 (neg.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 x (atan.f64 #s(literal 0 binary64))))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (atan.f64 #s(literal 0 binary64)) x))))
(cos.f64 (neg.f64 (-.f64 (atan.f64 #s(literal 0 binary64)) x)))
(cos.f64 (neg.f64 (-.f64 (asin.f64 #s(literal 0 binary64)) (neg.f64 x))))
(cos.f64 (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x))))
(cos.f64 (neg.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (-.f64 (acos.f64 #s(literal 0 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 x) (PI.f64)) (PI.f64))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) x)))
(cos.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x))))
(cos.f64 (neg.f64 (-.f64 (asin.f64 #s(literal 0 binary64)) x)))
(cos.f64 (neg.f64 (-.f64 (atan.f64 #s(literal 0 binary64)) (neg.f64 x))))
(cos.f64 (neg.f64 (neg.f64 (-.f64 x (asin.f64 #s(literal 0 binary64))))))
(cos.f64 (neg.f64 (-.f64 (-.f64 (acos.f64 #s(literal 0 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x))))
(cos.f64 (neg.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (neg.f64 (-.f64 x (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(cos.f64 (neg.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 x)))))
(cos.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(cos.f64 (neg.f64 (-.f64 x (atan.f64 #s(literal 0 binary64)))))
(cos.f64 (neg.f64 (-.f64 (neg.f64 x) (atan.f64 #s(literal 0 binary64)))))
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (asin.f64 #s(literal 0 binary64)))))
(cos.f64 (neg.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 (asin.f64 #s(literal 0 binary64)) x))))
(cos.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) x)))
(cos.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (neg.f64 x)) (asin.f64 #s(literal 0 binary64)))))
(cos.f64 (neg.f64 (-.f64 x (asin.f64 #s(literal 0 binary64)))))
(cos.f64 (-.f64 (asin.f64 #s(literal 0 binary64)) (neg.f64 x)))
(cos.f64 (neg.f64 (+.f64 (asin.f64 #s(literal 0 binary64)) x)))
(cos.f64 (-.f64 (asin.f64 #s(literal 0 binary64)) x))
(cos.f64 (+.f64 (asin.f64 #s(literal 0 binary64)) x))
(cos.f64 (-.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (asin.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (neg.f64 x)) (asin.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x) (asin.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (neg.f64 (-.f64 x (/.f64 (PI.f64) #s(literal -2 binary64))))))
(cos.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))
(cos.f64 (+.f64 (acos.f64 #s(literal 0 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(cos.f64 (-.f64 x (asin.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 (-.f64 (acos.f64 #s(literal 0 binary64)) (neg.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (-.f64 (acos.f64 #s(literal 0 binary64)) x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (-.f64 (-.f64 (neg.f64 x) (PI.f64)) (PI.f64)))
(cos.f64 (neg.f64 (+.f64 x (atan.f64 #s(literal 0 binary64)))))
(cos.f64 (-.f64 (neg.f64 x) (atan.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 (-.f64 x (PI.f64)) (PI.f64)))
(cos.f64 (+.f64 x (atan.f64 #s(literal 0 binary64))))
(cos.f64 (-.f64 x (atan.f64 #s(literal 0 binary64))))
(cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (neg.f64 x)))
(cos.f64 (+.f64 (PI.f64) (-.f64 (PI.f64) (neg.f64 x))))
(cos.f64 (-.f64 (+.f64 (PI.f64) (PI.f64)) x))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 x)))
(cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) x))
(cos.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(cos.f64 (+.f64 #s(literal 0 binary64) x))
(cos.f64 (neg.f64 (+.f64 (atan.f64 #s(literal 0 binary64)) x)))
(cos.f64 (-.f64 (atan.f64 #s(literal 0 binary64)) (neg.f64 x)))
(cos.f64 (+.f64 (atan.f64 #s(literal 0 binary64)) x))
(cos.f64 (-.f64 (atan.f64 #s(literal 0 binary64)) x))
(cos.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x)))
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64)))
(cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) x))
(cos.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(cos.f64 (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(cos.f64 (-.f64 #s(literal 0 binary64) x))
(cos.f64 (-.f64 x #s(literal 0 binary64)))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) (cos.f64 x)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal 0 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 x x) (fma.f64 (.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64)) #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 x x) (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.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))) 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))

eval107.0ms (1.5%)

Memory: 9.9MiB live, 51.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 2 209 to 855 computations (61.3% saved)

prune6.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	286	3	289
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	3	290

Accuracy

100.0%

Counts

290 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

53.1%

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

▶

100.0%

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

▶

99.9%

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

Compiler

Compiled 24 to 24 computations (0% saved)

series5.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

13 → 26

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

inf

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

1.0ms

((- 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 (cos x))

1.0ms

-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 (cos x))

rewrite978.0ms (14.1%)

Memory

-10.3MiB live, 353.9MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	456
0	108	443
1	236	443
2	780	441
3	3564	440
0	8368	432

Stop Event

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

Counts

39 → 1 303

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (neg.f64 (fabs.f64 x)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (fabs.f64 x)) (.f64 (fabs.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1/2 binary64))
(.f64 (fabs.f64 x) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/2 binary64)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) x))
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(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (*.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -1/24 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 1/24 binary64) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 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 #s(literal 1/24 binary64) (.f64 (.f64 (neg.f64 x) x) x) (.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 (neg.f64 x) x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -1/24 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) x) (.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -1/24 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 1/24 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal -1/24 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1/24 binary64) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (.f64 (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (*.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64)) (.f64 (neg.f64 (.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal -1/24 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (.f64 #s(literal 1/24 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (*.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal -1/24 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -1/24 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 1/24 binary64) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (.f64 (fabs.f64 x) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)))
(-.f64 (.f64 (.f64 (.f64 x 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) #s(literal 1/24 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal -1/24 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) x)) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (.f64 (fabs.f64 x) x))) (fabs.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (fabs.f64 x) #s(literal -1/24 binary64)))) (fabs.f64 x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (neg.f64 x) (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (.f64 (fabs.f64 x) (neg.f64 x))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (.f64 (fabs.f64 x) x)) (.f64 (fabs.f64 x) #s(literal 1/24 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) x) #s(literal 1/24 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) x)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (neg.f64 x))))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64)))
(neg.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/24 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) (fabs.f64 x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) (neg.f64 x) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal -1/24 binary64) x) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/24 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/24 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (fabs.f64 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fabs.f64 x) #s(literal 1/24 binary64)) (neg.f64 (fabs.f64 x))))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (.f64 (fabs.f64 x) #s(literal -1/24 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/24 binary64)))
#s(literal -1/24 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) #s(approx (cos x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#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 (-.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 (* (* x x) 1/2) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/24 (* x x)) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
#s(approx (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 (fma.f64 #s(literal 1/24 binary64) (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (.f64 (fma.f64 (fma.f64 #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 (.f64 (.f64 x x) x) x) #s(literal -1/24 binary64)))
#s(approx (* (* (+ (* -1/24 (* x x)) 1/2) x) x) (.f64 (.f64 (.f64 (.f64 x 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) 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 (cos x) (cos.f64 x))
#s(approx (* (+ (* -1/24 (* x x)) 1/2) x) (.f64 (.f64 (.f64 x x) x) (-.f64 #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))

eval324.0ms (4.7%)

Memory: -6.2MiB live, 374.7MiB allocated; 113ms collecting garbage
Compiler: Compiled 14 457 to 4 198 computations (71% saved)

prune103.0ms (1.5%)

Memory

25.5MiB live, 73.0MiB allocated; 1ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1 509	1	1 510
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	1 510	3	1 513

Accuracy

100.0%

Counts

1 513 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Status

Accuracy

Program

✓

53.1%

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

✓

100.0%

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

▶

100.0%

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

Compiler

Compiled 30 to 30 computations (0% saved)

series2.0ms (0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Counts

6 → 19

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
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)
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)
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)

Time

Variable

Point

Expression

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)

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)

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)

rewrite374.0ms (5.4%)

Memory

17.0MiB live, 246.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	376
0	74	366
1	179	366
2	605	366
3	2858	366
0	8353	338

Stop Event

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

Counts

25 → 41

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 316 to 139 computations (56% saved)

prune73.0ms (1%)

Memory

-40.3MiB live, 15.5MiB allocated; 6ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	33	3	36

Accuracy

100.0%

Counts

36 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.1%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))

Status

Accuracy

Program

✓

53.1%

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

✓

100.0%

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

✓

100.0%

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

Compiler

Compiled 61 to 57 computations (6.6% saved)

regimes5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (.f64 (.f64 #s(approx (+ (* -1/24 (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (cos.f64 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	(cos.f64 x)
1.0ms	(-.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)

regimes4.0ms (0.1%)

Memory

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

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	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)

regimes19.0ms (0.3%)

Memory

-38.4MiB live, 7.3MiB allocated; 3ms 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
53.1%	1	`(cos.f64 x)`
53.1%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
53.1%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations392.0ms (5.6%)

Memory

10.9MiB live, 193.6MiB allocated; 39ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 25 computations (13.8% saved)

preprocess55.0ms (0.8%)

Memory: 5.3MiB live, 97.4MiB allocated; 8ms collecting garbage
Remove: (abs x)
Compiler: Compiled 117 to 112 computations (4.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample3.1s (45.2%)

preprocess130.0ms (1.9%)

series1.0ms (0%)

rewrite1.2s (17.6%)

eval107.0ms (1.5%)

prune6.0ms (0.1%)

series5.0ms (0.1%)

rewrite978.0ms (14.1%)

eval324.0ms (4.7%)

prune103.0ms (1.5%)

series2.0ms (0%)

rewrite374.0ms (5.4%)

eval3.0ms (0%)

prune73.0ms (1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes19.0ms (0.3%)

derivations392.0ms (5.6%)

preprocess55.0ms (0.8%)

end0.0ms (0%)

Profiling