Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, D

start0.0ms (0%)

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

analyze574.0ms (11.5%)

Memory

-34.2MiB live, 430.2MiB allocated; 204ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
4.2%	3.1%	71.7%	0.2%	0%	25%	0%	9
4.2%	3.1%	71.3%	0.2%	0%	25.3%	0%	10
6.3%	4.7%	69.2%	0.2%	0%	25.9%	0%	11
9.2%	6.6%	65.8%	0.2%	0%	27.4%	0%	12

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample3.9s (78.7%)

Memory

75.6MiB live, 4 662.7MiB allocated; 949ms collecting garbage

Samples

1.8s	15 886×	0	invalid
1.0s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult!: 770.0ms (43.3% of total)

ival-sqrt: 464.0ms (26.1% of total)

ival-div!: 345.0ms (19.4% of total)

ival-acos: 197.0ms (11.1% of total)

adjust: 4.0ms (0.2% of total)

Bogosity

preprocess84.0ms (1.7%)

Memory

-38.6MiB live, 57.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	365	227
2	1619	227
3	7658	227

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Status

Accuracy

Program

▶

97.7%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Symmetry

(sort y z)

Compiler

Compiled 38 to 36 computations (5.3% saved)

series46.0ms (0.9%)

Memory

29.2MiB live, 76.5MiB allocated; 5ms collecting garbage

Counts

18 → 17

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms	y	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

rewrite58.0ms (1.2%)

Memory

14.8MiB live, 107.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	321
0	89	320
1	184	292
0	688	292

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

35 → 107

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))))
(.f64 (.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(.f64 (.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 3 binary64) z) (.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))
(.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))
(.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 (sqrt.f64 t) (+.f64 z z)))
(.f64 #s(literal 3 binary64) (.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) z)) #s(literal 2 binary64))
(/.f64 (.f64 (sqrt.f64 t) (neg.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (.f64 (neg.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/9 binary64))) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/9 binary64))) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/9 binary64)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/9 binary64))) (+.f64 z z))
(.f64 (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) #s(literal 2 binary64)) z)
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)))) (neg.f64 (.f64 #s(literal -2 binary64) z)))
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64))) (.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))
(neg.f64 (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (.f64 #s(literal -2 binary64) z)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (+.f64 z z)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (/.f64 x (.f64 #s(literal 27 binary64) y)))
(/.f64 (.f64 #s(literal 3 binary64) (neg.f64 x)) (.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal 1/9 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/9 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 27 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (.f64 x #s(literal 3 binary64))) (.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(/.f64 (.f64 x #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y)))
x
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 z z) (.f64 z z))))
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) z))
(+.f64 (.f64 z #s(literal 1 binary64)) (.f64 z #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) z) (.f64 #s(literal 1 binary64) z))
(+.f64 z z)
z
#s(literal 2 binary64)
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
#s(approx (* z 2) (+.f64 z z))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y))) t) #s(literal 1/18 binary64)))
#s(approx (sqrt t) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) t))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y))) t) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (sqrt.f64 t))))

eval23.0ms (0.5%)

Memory: -8.4MiB live, 39.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 868 to 525 computations (39.5% saved)

prune3.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Accuracy

98.5%

Counts

97 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
▶	96.9%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

97.7%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))

▶

96.9%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))

Compiler

Compiled 42 to 42 computations (0% saved)

series31.0ms (0.6%)

Memory

-3.2MiB live, 85.1MiB allocated; 9ms collecting garbage

Counts

22 → 23

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(/.f64 x y)
#s(literal 1/9 binary64)
(+.f64 z z)

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* x (sqrt t)))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* x (sqrt t))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x y) 1/9) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 z)))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* t (* x (sqrt (/ 1 t))))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x y) 1/9) (/ x y) 1/9 (+ z z))
5.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x y) 1/9) (/ x y) 1/9 (+ z z))
3.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x y) 1/9) (/ x y) 1/9 (+ z z))
3.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x y) 1/9) (/ x y) 1/9 (+ z z))
2.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x y) 1/9) (/ x y) 1/9 (+ z z))

rewrite63.0ms (1.3%)

Memory

-11.2MiB live, 80.7MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	442
0	115	440
0	264	440

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

45 → 73

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))))
(.f64 (sqrt.f64 t) (/.f64 (.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(/.f64 x y)
#s(literal 1/9 binary64)
(+.f64 z z)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* x (sqrt t)))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* x (sqrt t))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x y) 1/9) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 z)))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* t (* x (sqrt (/ 1 t))))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (.f64 z y)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (.f64 z y)))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) (*.f64 z y)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))) (neg.f64 (*.f64 z y)))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(.f64 (.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))) (sqrt.f64 t))))
(acos.f64 (.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))) (sqrt.f64 t)))
(.f64 (.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))) (sqrt.f64 t))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z))))
(/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal 1/9 binary64))) (+.f64 z z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/9 binary64) (+.f64 z z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (neg.f64 (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(literal 1/9 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 z z) (.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 z z) (.f64 z z))))
(+.f64 z z)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x))
#s(approx x x)
#s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* (/ x y) 1/9) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx z z)
#s(approx (+ z z) (+.f64 z z))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (/.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) #s(literal 1/18 binary64)) (.f64 z y)))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t))
#s(approx (sqrt t) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) t))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (/.f64 (.f64 #s(literal -1/18 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)) (.f64 z y)))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 #s(literal -1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)))
#s(approx (* (sqrt t) x) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)))
#s(approx (sqrt t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) t)))

eval6.0ms (0.1%)

Memory: 27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 599 to 357 computations (40.4% saved)

prune12.0ms (0.2%)

Memory

-29.5MiB live, 15.4MiB allocated; 12ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	64	2	66

Accuracy

98.5%

Counts

66 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
▶	97.3%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.1%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))

▶

97.3%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))

Compiler

Compiled 47 to 47 computations (0% saved)

series29.0ms (0.6%)

Memory

32.3MiB live, 79.2MiB allocated; 4ms collecting garbage

Counts

21 → 24

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z)
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))))
(.f64 (sqrt.f64 t) #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
(*.f64 z y)

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* x (sqrt t)))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* x (sqrt t))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* t (* x (sqrt (/ 1 t))))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) 1/3) (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/ (* (* (sqrt t) x) 1/18) z) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x (* z y)) 1/18) (/ x (* z y)) (* z y))
3.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) 1/3) (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/ (* (* (sqrt t) x) 1/18) z) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x (* z y)) 1/18) (/ x (* z y)) (* z y))
2.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) 1/3) (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/ (* (* (sqrt t) x) 1/18) z) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x (* z y)) 1/18) (/ x (* z y)) (* z y))
2.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) 1/3) (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/ (* (* (sqrt t) x) 1/18) z) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x (* z y)) 1/18) (/ x (* z y)) (* z y))
2.0ms	x	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) 1/3) (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/ (* (* (sqrt t) x) 1/18) z) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (sqrt t) t x 1/18 z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z)))) (* (sqrt t) (/ (* (/ x y) 1/9) (+ z z))) (/ (* (/ x y) 1/9) (+ z z)) (* (/ x (* z y)) 1/18) (/ x (* z y)) (* z y))

rewrite45.0ms (0.9%)

Memory

-32.6MiB live, 67.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	527
0	119	525
0	279	525

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

45 → 70

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z)
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))))
(.f64 (sqrt.f64 t) #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
(*.f64 z y)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))))))
#s(approx (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) #s(hole binary64 (acos (* 1/18 (/ (* x (sqrt t)) (* y z))))))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* 1/18 (/ (* x (sqrt t)) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* x (sqrt t)))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* x (sqrt t))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* 1/18 (/ (* t (* x (sqrt (/ 1 t)))) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* t (* x (sqrt (/ 1 t))))))
#s(approx (sqrt t) #s(hole binary64 (* t (sqrt (/ 1 t)))))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) (* y z)))))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) #s(hole binary64 (* -1/18 (/ (* t (* x (sqrt (/ 1 t)))) z))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* t (* x (sqrt (/ 1 t)))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* t (sqrt (/ 1 t))))))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))))
(acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) (*.f64 z y)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64))
(.f64 (.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z))
(.f64 #s(literal 1/18 binary64) (/.f64 (.f64 (sqrt.f64 t) x) z))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z)
(.f64 (.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))
(.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) x))
(.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
z
y
#s(literal 1/3 binary64)
(.f64 (acos.f64 (.f64 #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (.f64 #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (.f64 #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(.f64 #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(.f64 (sqrt.f64 t) #s(approx (/ ( (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))
#s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
(.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))
(.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))
(/.f64 (.f64 #s(literal 1/18 binary64) x) (.f64 z y))
(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 z y))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (/ (* (* (sqrt t) x) 1/18) z) y)) (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x))
#s(approx x x)
#s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx y y)
#s(approx (* z y) (*.f64 z y))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) #s(literal 1/18 binary64)) (.f64 z y)))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) (.f64 (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) z) #s(literal 1/18 binary64)))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t))
#s(approx (sqrt t) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) t))
#s(approx (/ (/ (* (* (sqrt t) x) 1/18) z) y) (/.f64 (.f64 #s(literal -1/18 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)) (.f64 z y)))
#s(approx (/ (* (* (sqrt t) x) 1/18) z) (.f64 (/.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t) z) #s(literal -1/18 binary64)))
#s(approx (* (* (sqrt t) x) 1/18) (.f64 #s(literal -1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)))
#s(approx (* (sqrt t) x) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) x) t)))
#s(approx (sqrt t) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 t)) t)))

eval6.0ms (0.1%)

Memory: 19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 633 to 364 computations (42.5% saved)

prune7.0ms (0.1%)

Memory

-34.8MiB live, 14.2MiB allocated; 1ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	60	2	62

Accuracy

98.5%

Counts

62 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
✓	97.3%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))

Status

Accuracy

Program

✓

98.1%

(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))

✓

97.3%

#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))

Compiler

Compiled 119 to 112 computations (5.9% saved)

regimes25.0ms (0.5%)

Memory

4.7MiB live, 51.4MiB allocated; 2ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (/.f64 (.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) z) y)) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))

Outputs
(.f64 (acos.f64 (.f64 (sqrt.f64 t) #s(approx (/ (* (/ x y) 1/9) (+ z z)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))

Calls

13 calls:

2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	z
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(sqrt.f64 t)
2.0ms	t

Results

Accuracy	Segments	Branch
98.1%	1	`(sqrt.f64 t)`
98.1%	1	`(*.f64 z #s(literal 2 binary64))`
98.1%	1	`(*.f64 y #s(literal 27 binary64))`
98.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.1%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
98.1%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
98.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
98.1%	1	`x`
98.1%	1	`y`
98.1%	1	`z`
98.1%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes13.0ms (0.3%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))

Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (/.f64 (.f64 (.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (.f64 z y))) #s(literal 1/3 binary64)))

Calls

13 calls:

1.0ms	y
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	(sqrt.f64 t)
1.0ms	x

Results

Accuracy	Segments	Branch
96.9%	1	`(sqrt.f64 t)`
96.9%	1	`(*.f64 z #s(literal 2 binary64))`
96.9%	1	`(*.f64 y #s(literal 27 binary64))`
96.9%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
96.9%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
96.9%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
96.9%	1	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
96.9%	1	`(acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))`
96.9%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))`
96.9%	1	`x`
96.9%	1	`y`
96.9%	1	`z`
96.9%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

derivations11.0ms (0.2%)

Memory

-33.1MiB live, 12.8MiB allocated; 4ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 39 computations (4.9% saved)

preprocess25.0ms (0.5%)

Memory: -0.0MiB live, 45.9MiB allocated; 10ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 154 to 151 computations (1.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze574.0ms (11.5%)

sample3.9s (78.7%)

preprocess84.0ms (1.7%)

series46.0ms (0.9%)

rewrite58.0ms (1.2%)

eval23.0ms (0.5%)

prune3.0ms (0.1%)

series31.0ms (0.6%)

rewrite63.0ms (1.3%)

eval6.0ms (0.1%)

prune12.0ms (0.2%)

series29.0ms (0.6%)

rewrite45.0ms (0.9%)

eval6.0ms (0.1%)

prune7.0ms (0.1%)

regimes25.0ms (0.5%)

regimes13.0ms (0.3%)

derivations11.0ms (0.2%)

preprocess25.0ms (0.5%)

end0.0ms (0%)

Profiling