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

analyze419.0ms (5.8%)

Memory

-3.3MiB live, 809.0MiB allocated; 150ms 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)

sample5.4s (74.3%)

Memory

133.1MiB live, 8 085.2MiB allocated; 2.0s collecting garbage

Samples

2.5s	15 739×	0	invalid
1.3s	8 256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-div: 1.0s (40.8% of total)

ival-mult: 879.0ms (34.5% of total)

ival-sqrt: 312.0ms (12.2% of total)

ival-acos: 234.0ms (9.2% of total)

exact: 46.0ms (1.8% of total)

ival-true: 19.0ms (0.7% of total)

ival-assert: 10.0ms (0.4% of total)

adjust: 9.0ms (0.4% of total)

Bogosity

explain217.0ms (3%)

Memory

-32.2MiB live, 635.4MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
19	-	5	(-3.858154216357911e-123 -1.3482204047217691e+188 -1.4045525198794975e-180 51.04546189656965)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
16	-	2	(3.591488658734134e-100 -2.1332458977339504e+107 1.2846850394060133e+115 2.371005539699011e+223)	`(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))`
1	-	0	-	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
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	-	`#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**	14	0
`/.f64`	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`	u/n	13	0
↳	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	underflow	45
↳	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`	underflow	45
`/.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
`/.f64`	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`	n/o	1	0
↳	`(*.f64 y #s(literal 27 binary64))`	overflow	1

Confusion

	Predicted +	Predicted -
+	1	0
-	28	227

Precision

0.034482758620689655

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	28	0	227

Precision?

0.034482758620689655

Recall?

1.0

Freqs

test

number	freq
0	227
1	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

88.0ms

512×

valid

Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 23.0ms (47% of total)

ival-mult: 16.0ms (32.7% of total)

ival-acos: 5.0ms (10.2% of total)

ival-sqrt: 4.0ms (8.2% of total)

exact: 1.0ms (2% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess174.0ms (2.4%)

Memory

5.9MiB live, 238.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	246
1	279	212
2	1015	184
3	3935	184
4	6986	184
0	18	17
0	29	17
1	50	15
2	137	13
3	494	13
4	2142	13
5	5176	13
0	8214	13

Stop Event

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

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))))

Outputs

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

Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.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))))

Status

Accuracy

Program

▶

98.0%

(*.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))))

Compiler

Compiled 19 to 18 computations (5.3% saved)

series48.0ms (0.7%)

Memory

35.4MiB live, 87.2MiB allocated; 8ms 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
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/27 (/ x y))
x
(* 27 y)
y
(* 2 z)
z
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))

Calls

12 calls:

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

simplify43.0ms (0.6%)

Memory

-27.4MiB live, 62.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	109
1	81	101
2	240	99
0	886	99

Stop Event

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

Counts

17 → 13

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/27 (/ x y))
x
(* 27 y)
y
(* 2 z)
z
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))

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

rewrite44.0ms (0.6%)

Memory

29.4MiB live, 74.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	29	86
1	63	76
0	256	76

Stop Event

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

Counts

18 → 83

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

eval22.0ms (0.3%)

Memory: -18.6MiB live, 33.9MiB allocated; 19ms collecting garbage
Compiler: Compiled 1 964 to 439 computations (77.6% saved)

prune3.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Accuracy

98.5%

Counts

96 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 (/.f64 x (.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
▶	97.3%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))
▶	96.1%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (.f64 #s(literal -1/18 binary64) (/.f64 x (.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.0%

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

▶

97.3%

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

▶

96.1%

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

Compiler

Compiled 93 to 80 computations (14% saved)

series35.0ms (0.5%)

Memory

-20.1MiB live, 72.2MiB allocated; 7ms collecting garbage

Counts

30 → 27

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

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (/ x (* y z)))
(/ x (* y z))
x
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x y)
(* 1/18 (/ x (* y z)))
(* y z)
y
z
(* 1/18 (* (sqrt t) (/ 1 z)))
(* (sqrt t) (/ 1 z))
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x 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)) (* (/ x (* z y)) 1/18))
4.0ms	t	@	inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x 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)) (* (/ x (* z y)) 1/18))
3.0ms	t	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x 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)) (* (/ x (* z y)) 1/18))
3.0ms	z	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x 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)) (* (/ x (* z y)) 1/18))
2.0ms	y	@	-inf	((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) 1/3) (acos (* (* -1/18 (/ x (* z y))) (sqrt t))) (* (* -1/18 (/ x (* z y))) (sqrt t)) (* -1/18 (/ x (* z y))) -1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) 1/3) (acos (* (* 1/18 (/ (sqrt t) z)) (/ x y))) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (* 1/18 (/ (sqrt t) z)) 1/18 (/ (sqrt t) z) (/ x 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)) (* (/ x (* z y)) 1/18))

simplify52.0ms (0.7%)

Memory

35.0MiB live, 81.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	197
1	98	189
2	312	189
0	1425	189

Stop Event

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

Counts

27 → 23

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (/ x (* y z)))
(/ x (* y z))
x
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x y)
(* 1/18 (/ x (* y z)))
(* y z)
y
z
(* 1/18 (* (sqrt t) (/ 1 z)))
(* (sqrt t) (/ 1 z))
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) z)))

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

rewrite58.0ms (0.8%)

Memory

-2.4MiB live, 93.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	266
0	61	266
1	131	254
0	499	254

Stop Event

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

Counts

30 → 112

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

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

eval27.0ms (0.4%)

Memory: -33.3MiB live, 58.5MiB allocated; 15ms collecting garbage
Compiler: Compiled 5 619 to 685 computations (87.8% saved)

prune35.0ms (0.5%)

Memory

21.5MiB live, 76.2MiB allocated; 9ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	162	2	164

Accuracy

98.5%

Counts

164 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(.f64 (acos.f64 (.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (.f64 #s(literal 1/18 binary64) (/.f64 x (.f64 z y)))) (sqrt.f64 t))) #s(literal 1/3 binary64))
✓	97.3%	#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (.f64 (acos.f64 (.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64)))

Status

Accuracy

Program

▶

98.0%

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

✓

97.3%

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

Compiler

Compiled 58 to 50 computations (13.8% saved)

series52.0ms (0.7%)

Memory

-11.0MiB live, 35.5MiB allocated; 5ms collecting garbage

Counts

14 → 15

Calls

Call 1

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

Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
x
(* y z)
y
z
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))

Calls

12 calls:

Time	Variable		Point	Expression
37.0ms	z	@	0	((* (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 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)) (* 1/18 (/ x (* z y))) 1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3)
2.0ms	z	@	inf	((* (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 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)) (* 1/18 (/ x (* z y))) 1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3)
2.0ms	z	@	-inf	((* (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 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)) (* 1/18 (/ x (* z y))) 1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3)
1.0ms	x	@	-inf	((* (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 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)) (* 1/18 (/ x (* z y))) 1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3)
1.0ms	y	@	-inf	((* (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) 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)) (* 1/18 (/ x (* z y))) 1/18 (/ x (* z y)) x (* z y) z y (sqrt t) t 1/3)

simplify55.0ms (0.8%)

Memory

6.3MiB live, 53.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	101
1	65	93
2	216	91
0	842	91

Stop Event

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

Counts

15 → 11

Calls

Call 1

Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(/ x (* y z))
x
(* y z)
y
z
(sqrt t)
t
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))

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

rewrite32.0ms (0.4%)

Memory

23.3MiB live, 70.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	29	112
1	67	104
0	255	104

Stop Event

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

Counts

14 → 41

Calls

Call 1

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

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

eval93.0ms (1.3%)

Memory: -34.2MiB live, 17.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 442 to 232 computations (83.9% saved)

prune12.0ms (0.2%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Accuracy

98.5%

Counts

51 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

98.0%

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

✓

97.3%

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

Compiler

Compiled 195 to 109 computations (44.1% saved)

regimes98.0ms (1.3%)

Memory

5.3MiB live, 95.5MiB allocated; 7ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

(*.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))))

Calls

13 calls:

43.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
33.0ms	y
2.0ms	x
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.0%	1	`(sqrt.f64 t)`
98.0%	1	`(*.f64 z #s(literal 2 binary64))`
98.0%	1	`(*.f64 y #s(literal 27 binary64))`
98.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.0%	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))`
98.0%	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)))`
98.0%	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))))`
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes125.0ms (1.7%)

Memory

-50.7MiB live, 79.9MiB allocated; 40ms collecting garbage

Counts

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

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

Calls

13 calls:

61.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
43.0ms	z
3.0ms	(/.f64 x (*.f64 y #s(literal 27 binary64)))
2.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	t

Results

Accuracy	Segments	Branch
98.0%	1	`(sqrt.f64 t)`
98.0%	1	`(*.f64 z #s(literal 2 binary64))`
98.0%	1	`(*.f64 y #s(literal 27 binary64))`
98.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.0%	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))`
98.0%	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)))`
98.0%	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))))`
98.0%	1	`x`
98.0%	1	`y`
98.0%	1	`z`
98.0%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes39.0ms (0.5%)

Memory

-12.8MiB live, 36.8MiB allocated; 4ms 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) (/.f64 x (.f64 z y))) (sqrt.f64 t))) #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) (/.f64 x (.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))

Calls

13 calls:

27.0ms	(*.f64 z #s(literal 2 binary64))
1.0ms	z
1.0ms	(sqrt.f64 t)
1.0ms	(*.f64 y #s(literal 27 binary64))
1.0ms	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))

Results

Accuracy	Segments	Branch
96.1%	1	`(sqrt.f64 t)`
96.1%	1	`(*.f64 z #s(literal 2 binary64))`
96.1%	1	`(*.f64 y #s(literal 27 binary64))`
96.1%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
96.1%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
96.1%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
96.1%	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))`
96.1%	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)))`
96.1%	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))))`
96.1%	1	`x`
96.1%	1	`y`
96.1%	1	`z`
96.1%	1	`t`

Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify116.0ms (1.6%)

Memory

10.4MiB live, 57.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	75
1	66	75
2	154	75
3	541	75
4	2593	75
5	4807	75

Stop Event

1×	node limit

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

Outputs

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

derivations9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 77 to 47 computations (39% saved)

preprocess51.0ms (0.7%)

Memory: 19.4MiB live, 64.3MiB allocated; 5ms collecting garbage
Remove: (sort y z)
Compiler: Compiled 302 to 234 computations (22.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze419.0ms (5.8%)

sample5.4s (74.3%)

explain217.0ms (3%)

preprocess174.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series48.0ms (0.7%)

simplify43.0ms (0.6%)

rewrite44.0ms (0.6%)

eval22.0ms (0.3%)

prune3.0ms (0%)

series35.0ms (0.5%)

simplify52.0ms (0.7%)

rewrite58.0ms (0.8%)

eval27.0ms (0.4%)

prune35.0ms (0.5%)

series52.0ms (0.7%)

simplify55.0ms (0.8%)

rewrite32.0ms (0.4%)

eval93.0ms (1.3%)

prune12.0ms (0.2%)

regimes98.0ms (1.3%)

regimes125.0ms (1.7%)

regimes39.0ms (0.5%)

simplify116.0ms (1.6%)

derivations9.0ms (0.1%)

preprocess51.0ms (0.7%)

end0.0ms (0%)

Profiling