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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze397.0ms (8.7%)

Memory

-1.0MiB live, 624.6MiB allocated; 77ms 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)

sample3.4s (73.6%)

Memory

83.7MiB live, 5 273.5MiB allocated; 800ms collecting garbage

Samples

1.6s	15 839×	0	invalid
828.0ms	8 256×	0	valid

Precisions

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

ival-mult!: 707.0ms (48% of total)

ival-div!: 293.0ms (19.9% of total)

ival-sqrt: 285.0ms (19.4% of total)

ival-acos: 182.0ms (12.4% of total)

adjust: 5.0ms (0.3% of total)

Bogosity

explain222.0ms (4.9%)

Memory

14.6MiB live, 426.1MiB allocated; 115ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	2	(-3.7392617366698184e-147 -8.767802903649604e+161 -2.686909252578547e-148 1.5070381734655072e-232)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
9	-	4	(3.531736787850734e-21 2.397749511246764e+38 -1.292140260528561e+258 3.6922233178587195e+89)	`(.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 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	22	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	62
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	62
`*.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**	5	0
`/.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

64.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-sqrt: 10.0ms (33.3% of total)

ival-mult!: 10.0ms (33.3% of total)

ival-acos: 5.0ms (16.6% of total)

ival-div!: 5.0ms (16.6% of total)

adjust: 0.0ms (0% of total)

preprocess65.0ms (1.4%)

Memory

7.3MiB live, 49.3MiB allocated; 21ms 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
▶	97.8%	(.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

▶

97.8%

(*.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)

series90.0ms (2%)

Memory

6.9MiB live, 93.3MiB allocated; 29ms 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
38.0ms	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)
23.0ms	y	@	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	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)
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)

rewrite87.0ms (1.9%)

Memory

44.7MiB live, 90.1MiB allocated; 62ms 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 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
#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 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
(acos.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 t) (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) 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 #s(literal 2 binary64) z)))
(/.f64 (.f64 (/.f64 x (.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) 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 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #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 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval65.0ms (1.4%)

Memory: -39.2MiB live, 8.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 812 to 217 computations (73.3% saved)

prune2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB 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
▶	97.8%	(.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%	#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)))
▶	95.7%	#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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

97.8%

(*.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%

#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)))

▶

95.7%

#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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))

Compiler

Compiled 93 to 81 computations (12.9% saved)

series50.0ms (1.1%)

Memory

20.3MiB live, 64.8MiB allocated; 5ms collecting garbage

Counts

34 → 35

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 y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(.f64 (acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))
(acos.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
(.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
#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 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 x (*.f64 z y))
(*.f64 z y)
(.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)
#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(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))
#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 y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#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 (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 y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx z #s(hole binary64 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 y) (/ -1 z)))) 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 y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #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 (* (* 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 (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
20.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* (/ 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) 1/9) 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 y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* (/ 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) 1/9) 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 y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* (/ 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) 1/9) 1/9 (* z 2) 2)
3.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* (/ 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) 1/9) 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 y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 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))) (/ x (* z y)) (* z y) (* (/ 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) 1/9) 1/9 (* z 2) 2)

rewrite38.0ms (0.8%)

Memory

14.6MiB live, 58.1MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	935
0	156	879
0	318	879

Stop Event

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

Counts

69 → 110

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

eval77.0ms (1.7%)

Memory: -49.9MiB live, 26.7MiB allocated; 81ms collecting garbage
Compiler: Compiled 3 229 to 503 computations (84.4% saved)

prune4.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	94	2	96

Accuracy

98.5%

Counts

96 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	#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 y) 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

▶

97.8%

#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 y) 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 66 to 56 computations (15.2% saved)

series24.0ms (0.5%)

Memory

1.2MiB live, 50.0MiB allocated; 14ms collecting garbage

Counts

14 → 18

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	z	@	0	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) (* (* 1/18 (sqrt t)) (/ (/ x y) z)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x y) z) (/ x y) x y z 1/3)
2.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) (* (* 1/18 (sqrt t)) (/ (/ x y) z)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x y) z) (/ x y) x y z 1/3)
2.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) (* (* 1/18 (sqrt t)) (/ (/ x y) z)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x y) z) (/ x y) x y z 1/3)
2.0ms	x	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) (* (* 1/18 (sqrt t)) (/ (/ x y) z)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x y) z) (/ x y) x y z 1/3)
1.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x y) z))) (* (* 1/18 (sqrt t)) (/ (/ x y) z)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x y) z) (/ x y) x y z 1/3)

rewrite29.0ms (0.6%)

Memory

-7.5MiB live, 38.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	379
0	84	360
0	187	360

Stop Event

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

Counts

32 → 44

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

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

eval3.0ms (0.1%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 056 to 184 computations (82.6% saved)

prune4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	28	2	30

Accuracy

98.5%

Counts

30 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.8%	#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 y) 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

✓

97.8%

#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 y) 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 211 to 117 computations (44.5% saved)

regimes27.0ms (0.6%)

Memory

16.9MiB live, 62.4MiB allocated; 5ms collecting garbage

Accuracy

Total -1.6b remaining (-130.8%)

Threshold costs -1.6b (-130.8%)

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 #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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x y) z))) #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 y) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (.f64 z y)))) #s(literal 1/3 binary64)))

Calls

13 calls:

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

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)

derivations9.0ms (0.2%)

Memory

-52.7MiB live, 3.1MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 28 computations (15.2% saved)

preprocess13.0ms (0.3%)

Memory: 20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 170 to 148 computations (12.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze397.0ms (8.7%)

sample3.4s (73.6%)

explain222.0ms (4.9%)

preprocess65.0ms (1.4%)

series90.0ms (2%)

rewrite87.0ms (1.9%)

eval65.0ms (1.4%)

prune2.0ms (0.1%)

series50.0ms (1.1%)

rewrite38.0ms (0.8%)

eval77.0ms (1.7%)

prune4.0ms (0.1%)

series24.0ms (0.5%)

rewrite29.0ms (0.6%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes27.0ms (0.6%)

derivations9.0ms (0.2%)

preprocess13.0ms (0.3%)

end0.0ms (0%)

Profiling