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

analyze425.0ms (8.9%)

Memory

41.2MiB live, 617.3MiB allocated; 85ms 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)

sample3.7s (76.9%)

Memory

51.1MiB live, 5 051.4MiB allocated; 857ms collecting garbage

Samples

1.6s	15 737×	0	invalid
910.0ms	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult!: 765.0ms (49.9% of total)

ival-div!: 316.0ms (20.6% of total)

ival-sqrt: 237.0ms (15.4% of total)

ival-acos: 212.0ms (13.8% of total)

adjust: 5.0ms (0.3% of total)

Bogosity

explain157.0ms (3.3%)

Memory

8.0MiB live, 343.2MiB allocated; 29ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	4	(-9.573472557348144e-189 -1.598785024075106e+121 3.251922626410639e-156 9.28814611813648e-182)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
15	-	0	-	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
0	-	0	-	`t`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`y`
0	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`(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)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`(sqrt.f64 t)`
0	-	0	-	`(.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))))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.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))`	*nu**	15	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	11	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	61
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	61
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	n/o	1	0
↳	`(*.f64 z #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	o/n	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	overflow	1
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	27	228

Precision

0.03571428571428571

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	27	0	228

Precision?

0.03571428571428571

Recall?

1.0

Freqs

test

number	freq
0	228
1	28

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult!: 11.0ms (44.7% of total)

ival-acos: 5.0ms (20.3% of total)

ival-div!: 5.0ms (20.3% of total)

ival-sqrt: 4.0ms (16.2% of total)

adjust: 0.0ms (0% of total)

preprocess48.0ms (1%)

Memory

-7.2MiB live, 39.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	287	227
2	1042	197
3	3987	197
4	7017	197

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(.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))))

Status

Accuracy

Program

▶

98.1%

(*.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))))

Symmetry

(sort y z)

Compiler

Compiled 38 to 36 computations (5.3% saved)

series43.0ms (0.9%)

Memory

23.5MiB live, 68.9MiB 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 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* 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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	t	@	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)
5.0ms	t	@	-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)
5.0ms	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	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)
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)

rewrite104.0ms (2.2%)

Memory

-15.9MiB live, 65.6MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	353
0	90	340
0	186	340

Stop Event

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

Counts

35 → 51

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

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

eval10.0ms (0.2%)

Memory: -39.2MiB live, 10.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 812 to 217 computations (73.3% saved)

prune2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	3	37

Accuracy

98.5%

Counts

37 → 3

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.1%

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

▶

98.1%

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

▶

98.1%

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

Compiler

Compiled 75 to 67 computations (10.7% saved)

series31.0ms (0.6%)

Memory

18.5MiB live, 64.6MiB allocated; 3ms collecting garbage

Counts

36 → 38

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 (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) 1/9) (/ x y) 1/9 (* z 2) 2)
3.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 (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) 1/9) (/ x y) 1/9 (* z 2) 2)
3.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 (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) 1/9) (/ x y) 1/9 (* z 2) 2)
3.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 (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) 1/9) (/ x y) 1/9 (* z 2) 2)
3.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 (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) 1/9) (/ x y) 1/9 (* z 2) 2)

rewrite38.0ms (0.8%)

Memory

2.3MiB live, 47.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	974
0	163	940
0	335	940

Stop Event

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

Counts

74 → 121

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: -28.9MiB live, 23.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 394 to 488 computations (79.6% saved)

prune5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	88	2	90

Accuracy

98.5%

Counts

90 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
▶	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.1%

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

▶

97.7%

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

Compiler

Compiled 66 to 56 computations (15.2% saved)

series23.0ms (0.5%)

Memory

0.5MiB live, 48.0MiB allocated; 1ms collecting garbage

Counts

21 → 28

Calls

Call 1

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

Calls

12 calls:

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

rewrite28.0ms (0.6%)

Memory

36.6MiB live, 36.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	676
0	120	644
0	248	644

Stop Event

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

Counts

49 → 76

Calls

Call 1

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

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

eval79.0ms (1.7%)

Memory: -33.9MiB live, 13.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 594 to 276 computations (82.7% saved)

prune4.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	43	2	45

Accuracy

98.5%

Counts

45 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 (/.f64 x (.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
✓	97.7%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

✓

98.1%

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

✓

97.7%

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

Compiler

Compiled 226 to 124 computations (45.1% saved)

regimes47.0ms (1%)

Memory

-2.5MiB live, 44.6MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

Calls

13 calls:

22.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	z
2.0ms	x
2.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))

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

29.0MiB live, 29.0MiB 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Calls

13 calls:

1.0ms	(sqrt.f64 t)
1.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	t
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))

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)

derivations7.0ms (0.1%)

Memory

-45.2MiB live, 5.2MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 66 to 33 computations (50% saved)

preprocess18.0ms (0.4%)

Memory: 41.0MiB live, 41.0MiB allocated; 0ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 302 to 214 computations (29.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze425.0ms (8.9%)

sample3.7s (76.9%)

explain157.0ms (3.3%)

preprocess48.0ms (1%)

series43.0ms (0.9%)

rewrite104.0ms (2.2%)

eval10.0ms (0.2%)

prune2.0ms (0%)

series31.0ms (0.6%)

rewrite38.0ms (0.8%)

eval14.0ms (0.3%)

prune5.0ms (0.1%)

series23.0ms (0.5%)

rewrite28.0ms (0.6%)

eval79.0ms (1.7%)

prune4.0ms (0.1%)

regimes47.0ms (1%)

regimes13.0ms (0.3%)

derivations7.0ms (0.1%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

Profiling