Metrics for ENA, Section 1.4, Mentioned, A

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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)

sample2.4s (78.4%)

Memory

-44.8MiB live, 2 576.9MiB allocated; 1.3s collecting garbage

Samples

1.3s	5 907×	2	valid
239.0ms	2 337×	1	valid
0.0ms	12×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-cos: 963.0ms (78.1% of total)

adjust: 202.0ms (16.4% of total)

ival-sub!: 67.0ms (5.4% of total)

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

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

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

Bogosity

preprocess65.0ms (2.1%)

Memory

-47.8MiB live, 50.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	24	12
2	58	12
3	148	12
4	474	12
5	1606	12
6	6882	12

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(-.f64 #s(literal 1 binary64) (cos.f64 x))

Symmetry

(abs x)

Compiler

Compiled 8 to 8 computations (0% saved)

series1.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

4 → 11

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	-inf	((- 1 (cos x)) 1 (cos x) x)
0.0ms	x	@	inf	((- 1 (cos x)) 1 (cos x) x)

rewrite99.0ms (3.2%)

Memory

10.4MiB live, 155.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	153
0	56	153
1	302	153
0	2745	141

Stop Event

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

Counts

15 → 35

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 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #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 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))))
(/.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 (neg.f64 (expm1.f64 (*.f64 (log.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 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.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 (neg.f64 (expm1.f64 (*.f64 (log.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)))
(neg.f64 (-.f64 (cos.f64 x) #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))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (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 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (.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 (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 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: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 227 to 125 computations (44.9% saved)

prune3.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Accuracy

100.0%

Counts

32 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶	50.7%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	100.0%	#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
▶	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))
▶	99.4%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 92 to 90 computations (2.2% saved)

series9.0ms (0.3%)

Memory

-28.2MiB live, 18.8MiB allocated; 2ms collecting garbage

Counts

23 → 54

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite167.0ms (5.3%)

Memory

43.4MiB live, 228.5MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1163
0	197	1111
1	761	1108
0	5895	1086

Stop Event

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

Counts

77 → 385

Calls

Call 1

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

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

eval51.0ms (1.6%)

Memory: -34.0MiB live, 117.5MiB allocated; 18ms collecting garbage
Compiler: Compiled 4 384 to 1 723 computations (60.7% saved)

prune9.0ms (0.3%)

Memory

30.7MiB live, 30.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	432	2	434
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	432	7	439

Accuracy

100.0%

Counts

439 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	50.7%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) 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 #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))
✓	99.4%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 69 to 67 computations (2.9% saved)

series8.0ms (0.3%)

Memory

-30.0MiB live, 16.4MiB allocated; 3ms collecting garbage

Counts

12 → 26

Calls

Call 1

Inputs
#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))
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (*.f64 #s(literal 1/2 binary64) x))
(.f64 (.f64 x x) x)
(*.f64 #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 (* (+ (* (* x x) -1/24) 1/2) (* x x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (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) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (+ (* (* (* x x) x) -1/24) (* 1/2 x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* (* (* x x) x) -1/24) (* 1/2 x)) #s(hole binary64 (* x (+ 1/2 (* -1/24 (pow x 2))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- 1 (cos x)) #s(hole binary64 (- 1 (cos x))))
#s(approx (* (+ (* (* x x) -1/24) 1/2) (* x x)) #s(hole binary64 (* -1/24 (pow x 4))))
#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 (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) #s(hole binary64 (* -1/24 (pow x 4))))
#s(approx (* (+ (* (* (* x 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) x) -1/24) (* 1/2 x)) #s(hole binary64 (* -1/24 (pow x 3))))
#s(approx (+ (* (* (* x x) x) -1/24) (* 1/2 x)) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/24))))
#s(approx (+ (* (* (* x x) x) -1/24) (* 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
4.0ms	x	@	0	((- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 1/2 (- 1 (cos x)) (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) (+ (* (* (* x x) x) -1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x))
2.0ms	x	@	-inf	((- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 1/2 (- 1 (cos x)) (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) (+ (* (* (* x x) x) -1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x))
2.0ms	x	@	inf	((- 1 (cos x)) (* (+ (* (* x x) -1/24) 1/2) (* x x)) (+ (* (* x x) -1/24) 1/2) (* x x) x -1/24 1/2 (- 1 (cos x)) (* (+ (* (* (* x x) x) -1/24) (* 1/2 x)) x) (+ (* (* (* x x) x) -1/24) (* 1/2 x)) (* (* x x) x) (* 1/2 x))

Time

Variable

Point

Expression

4.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite96.0ms (3.1%)

Memory

8.5MiB live, 154.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	513
0	103	468
1	380	468
0	2795	458

Stop Event

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

Counts

38 → 240

Calls

Call 1

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

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

eval20.0ms (0.6%)

Memory: -5.1MiB live, 41.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 956 to 817 computations (58.2% saved)

prune7.0ms (0.2%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	215	7	222

Accuracy

100.0%

Counts

222 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓	50.7%	(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
✓	99.9%	#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) 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 #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))
✓	99.4%	#s(approx (- 1 (cos x)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

Compiler

Compiled 118 to 103 computations (12.7% saved)

regimes8.0ms (0.2%)

Memory

-30.4MiB live, 16.7MiB allocated; 2ms 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)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (.f64 x x) #s(literal -1/24 binary64)) (.f64 x x) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

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

Calls

3 calls:

3.0ms	(cos.f64 x)
3.0ms	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

13.2MiB live, 13.2MiB allocated; 0ms 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)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal -1/24 binary64) (.f64 #s(literal 1/2 binary64) 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
2.0ms	(-.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

11.1MiB live, 11.1MiB 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)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (.f64 (.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB 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)))

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

Outputs
#s(approx (- 1 (cos x)) (.f64 (.f64 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
99.4%	1	`(cos.f64 x)`
99.4%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
99.4%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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
50.7%	1	`(cos.f64 x)`
50.7%	1	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
50.7%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations68.0ms (2.2%)

Memory

-24.1MiB live, 74.3MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 25 computations (28.6% saved)

preprocess42.0ms (1.3%)

Memory: 20.7MiB live, 111.5MiB allocated; 8ms collecting garbage
Remove: (abs x)
Compiler: Compiled 145 to 130 computations (10.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample2.4s (78.4%)

preprocess65.0ms (2.1%)

series1.0ms (0%)

rewrite99.0ms (3.2%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

series9.0ms (0.3%)

rewrite167.0ms (5.3%)

eval51.0ms (1.6%)

prune9.0ms (0.3%)

series8.0ms (0.3%)

rewrite96.0ms (3.1%)

eval20.0ms (0.6%)

prune7.0ms (0.2%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

derivations68.0ms (2.2%)

preprocess42.0ms (1.3%)

end0.0ms (0%)

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