Metrics for Falkner and Boettcher, Appendix B, 1

start0.0ms (0%)

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

analyze394.0ms (8.3%)

Memory

11.4MiB live, 225.4MiB allocated; 78ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample3.2s (67.1%)

Memory

3.3MiB live, 2 377.2MiB allocated; 721ms collecting garbage

Samples

1.1s	3 766×	3	valid
554.0ms	8 138×	0	invalid
460.0ms	2 083×	2	valid
331.0ms	2 248×	1	valid
10.0ms	159×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-acos: 816.0ms (43.5% of total)

adjust: 394.0ms (21% of total)

ival-mult!: 268.0ms (14.3% of total)

ival-div!: 214.0ms (11.4% of total)

ival-sub!: 182.0ms (9.7% of total)

Bogosity

preprocess48.0ms (1%)

Memory

-15.8MiB live, 38.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	86	43
2	320	43
3	1871	43

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Symmetry

(abs v)

Compiler

Compiled 28 to 18 computations (35.7% saved)

series92.0ms (2%)

Memory

35.3MiB live, 82.1MiB allocated; 5ms collecting garbage

Counts

9 → 18

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))

Outputs
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 v #s(literal 2 binary64)))) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64)))
#s(approx (- 1 (* 5 (* v v))) #s(literal 1 binary64))
#s(approx (- 1 (* 5 (* v v))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* 5 (* v v)) (*.f64 #s(literal 5 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (* v v) (pow.f64 v #s(literal 2 binary64)))
#s(approx v v)
#s(approx (- (* v v) 1) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 5 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (- 1 (* 5 (* v v))) (*.f64 #s(literal -5 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (- 1 (* 5 (* v v))) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 5 binary64))))
#s(approx (- (* v v) 1) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))

Calls

3 calls:

Time	Variable	Point
2.0ms	v	inf
1.0ms	v	-inf
1.0ms	v	0

rewrite356.0ms (7.5%)

Memory

-15.0MiB live, 306.8MiB allocated; 68ms collecting garbage

Counts

9 → 362

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v)))
#s(literal 1 binary64)
(.f64 #s(literal 5 binary64) (.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))

Outputs
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) v)))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (-.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (*.f64 v #s(literal -5 binary64)) v)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (*.f64 v #s(literal -5 binary64)) v)))
(-.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal -1 binary64) v))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (-.f64 v #s(literal 1 binary64)))) (.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (-.f64 #s(literal 1 binary64) (.f64 v v)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (+.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (-.f64 v #s(literal 1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (.f64 (-.f64 v #s(literal 1 binary64)) (.f64 #s(literal 5 binary64) (.f64 v v)))) (*.f64 (-.f64 v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 v #s(literal -5 binary64)) v))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))) (/.f64 (.f64 (*.f64 v #s(literal -5 binary64)) v) (-.f64 #s(literal -1 binary64) v))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 v v))) (.f64 (.f64 v #s(literal -5 binary64)) v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (.f64 #s(literal 5 binary64) (.f64 v v)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 v #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (-.f64 #s(literal -1 binary64) v)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 v #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64))) (.f64 (-.f64 v #s(literal 1 binary64)) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (-.f64 #s(literal -1 binary64) v)))) (*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (-.f64 #s(literal -1 binary64) v)))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) (*.f64 v v)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (fma.f64 v v #s(literal -1 binary64))))) (neg.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 5 binary64) (.f64 v v)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
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(fabs.f64 (*.f64 v v))
(fabs.f64 (neg.f64 (*.f64 v v)))
(neg.f64 (neg.f64 (*.f64 v v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (fabs.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 v)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 v v) (*.f64 v v)))
v
(neg.f64 (neg.f64 v))
(*.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)))
(*.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) v))
(*.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal -1 binary64) v))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal -1 binary64) v))
(*.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64)))
(*.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
(*.f64 (+.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 v v))
(+.f64 (.f64 v (-.f64 v #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (-.f64 v #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (.f64 v (-.f64 v #s(literal 1 binary64))))
(+.f64 (.f64 v (-.f64 v #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))))
(+.f64 (.f64 (.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 (-.f64 v #s(literal -1 binary64)) v) (.f64 (-.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) v))
(+.f64 (.f64 (-.f64 v #s(literal 1 binary64)) v) (.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(-.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 (*.f64 v v)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 v v) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 v v #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fabs.f64 v) (fabs.f64 v) #s(literal -1 binary64))
(fma.f64 (neg.f64 v) (neg.f64 v) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 v v))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 v #s(literal 1 binary64)) v))
(fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 v #s(literal -1 binary64)) v (*.f64 (-.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 v (-.f64 v #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64)) (*.f64 v (-.f64 v #s(literal 1 binary64))))
(fma.f64 v (-.f64 v #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 v #s(literal -1 binary64))))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal -1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))

eval45.0ms (0.9%)

Memory: 32.4MiB live, 79.3MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 490 to 1 438 computations (83.1% saved)

prune9.0ms (0.2%)

Memory

-29.4MiB live, 16.6MiB allocated; 3ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	371	2	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	372	2	374

Accuracy

99.1%

Counts

374 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
▶	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Status

Accuracy

Program

▶

99.1%

(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

▶

98.2%

(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

series110.0ms (2.3%)

Memory

37.8MiB live, 82.9MiB allocated; 7ms collecting garbage

Counts

11 → 19

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))

Outputs
#s(approx (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (pow.f64 v #s(literal 2 binary64)))) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 (pow.f64 v #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 2 binary64))))))) #s(literal 1 binary64)))
#s(approx (acos (/ (+ (* (* v -5) v) 1) (+ (* v v) -1))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 v #s(literal 2 binary64)))) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))))
#s(approx (+ (* (* v -5) v) 1) #s(literal 1 binary64))
#s(approx (+ (* (* v -5) v) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (pow.f64 v #s(literal 2 binary64)))))
#s(approx (* v -5) (*.f64 #s(literal -5 binary64) v))
#s(approx v v)
#s(approx (+ (* v v) -1) (-.f64 (pow.f64 v #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 5 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 2 binary64)))) #s(literal 5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64)))))))
#s(approx (+ (* (* v -5) v) 1) (*.f64 #s(literal -5 binary64) (pow.f64 v #s(literal 2 binary64))))
#s(approx (+ (* (* v -5) v) 1) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))) #s(literal 5 binary64))))
#s(approx (+ (* v v) -1) (pow.f64 v #s(literal 2 binary64)))
#s(approx (+ (* v v) -1) (*.f64 (pow.f64 v #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 2 binary64))))))

Calls

3 calls:

Time	Variable	Point
1.0ms	v	inf
1.0ms	v	-inf
1.0ms	v	0

rewrite383.0ms (8.1%)

Memory

-2.2MiB live, 325.0MiB allocated; 150ms collecting garbage

Counts

11 → 439

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))
(*.f64 v #s(literal -5 binary64))
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))

Outputs
(acos.f64 #s(approx (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1)) #s(literal -1 binary64)))
#s(approx (/ (+ 1 (* (* v -5) v)) (+ (* v v) -1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal 1 binary64))
(+.f64 (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(neg.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) v)))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 v) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 (*.f64 v #s(literal -5 binary64)) v) #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 v #s(literal -5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (.f64 (.f64 v #s(literal 5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (.f64 (.f64 (.f64 v #s(literal 5 binary64)) v) (fma.f64 v v #s(literal -1 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 v (-.f64 v #s(literal -1 binary64)))) (/.f64 (.f64 v #s(literal -5 binary64)) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))) (.f64 (neg.f64 (/.f64 (.f64 v #s(literal -5 binary64)) (-.f64 v #s(literal -1 binary64)))) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 v v)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 #s(literal -1 binary64) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/.f64 (.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 (.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64))) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal -1 binary64) v))
(/.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 v v))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 v v))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))) (-.f64 v #s(literal -1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 v #s(literal -1 binary64))) (-.f64 v #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal -1 binary64) v) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal -1 binary64) v) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fabs.f64 v)) (neg.f64 (fabs.f64 v)) #s(literal -1 binary64))
(fma.f64 (-.f64 v #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 v #s(literal 1 binary64)) (.f64 (-.f64 v #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 v #s(literal -1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 v #s(literal -1 binary64)) (.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) v) (.f64 (-.f64 #s(literal -1 binary64) v) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (.f64 (.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (.f64 (.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 v v)))
(fma.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 v #s(literal 1 binary64)) v))
(fma.f64 (-.f64 v #s(literal 1 binary64)) v (*.f64 (-.f64 v #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 v #s(literal -1 binary64)) v (*.f64 (-.f64 v #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 v #s(literal -1 binary64)) (-.f64 v #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 v (-.f64 v #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 v #s(literal 1 binary64)) (*.f64 v (-.f64 v #s(literal 1 binary64))))
(fma.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 v (-.f64 v #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 v #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal -1 binary64) v) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal -1 binary64) v) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) v) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) v) (-.f64 #s(literal 1 binary64) v) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 v) #s(literal -1 binary64))) (-.f64 (fabs.f64 v) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (+.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (-.f64 (neg.f64 (fabs.f64 v)) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (neg.f64 (neg.f64 (fabs.f64 v))) #s(literal -1 binary64))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 (-.f64 (fabs.f64 v) #s(literal -1 binary64)) (.f64 (-.f64 (fabs.f64 v) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v)))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (fabs.f64 v))) (fabs.f64 v)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(neg.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 v v))))
(neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 v v)) #s(literal 1 binary64)))

eval85.0ms (1.8%)

Memory: -10.8MiB live, 128.2MiB allocated; 25ms collecting garbage
Compiler: Compiled 9 359 to 1 606 computations (82.8% saved)

prune7.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	456	0	456
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	456	2	458

Accuracy

99.1%

Counts

458 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓	98.2%	(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Status

Accuracy

Program

✓

99.1%

(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

✓

98.2%

(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

regimes13.0ms (0.3%)

Memory

-22.4MiB live, 23.1MiB allocated; 4ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

Call 2

Inputs

(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))

(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Outputs
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal -5 binary64)) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))

Calls

8 calls:

4.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms	v
1.0ms	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms	(*.f64 v v)
1.0ms	(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
98.2%	1	`(*.f64 v v)`
98.2%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
98.2%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
98.2%	1	`v`
99.1%	1	`(*.f64 v v)`
99.1%	1	`(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))`
99.1%	1	`(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 5 binary64) (.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))`
99.1%	1	`v`

Compiler

Compiled 104 to 65 computations (37.5% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess16.0ms (0.3%)

Memory: 26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Remove: (abs v)
Compiler: Compiled 98 to 67 computations (31.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze394.0ms (8.3%)

sample3.2s (67.1%)

preprocess48.0ms (1%)

series92.0ms (2%)

rewrite356.0ms (7.5%)

eval45.0ms (0.9%)

prune9.0ms (0.2%)

series110.0ms (2.3%)

rewrite383.0ms (8.1%)

eval85.0ms (1.8%)

prune7.0ms (0.2%)

regimes13.0ms (0.3%)

derivations0.0ms (0%)

preprocess16.0ms (0.3%)

end0.0ms (0%)

Profiling