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

analyze481.0ms (2%)

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 24 to 20 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-mult: 120.0ms (43.9% of total)

ival-sqrt: 68.0ms (24.9% of total)

ival-div: 58.0ms (21.2% of total)

ival-acos: 20.0ms (7.3% of total)

const: 7.0ms (2.6% of total)

backward-pass: 1.0ms (0.4% of total)

sample5.0s (20.5%)

Results

2.7s	15360×	0	invalid
1.2s	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-mult: 1.1s (39.5% of total)

ival-div: 873.0ms (31.5% of total)

ival-sqrt: 550.0ms (19.8% of total)

ival-acos: 178.0ms (6.4% of total)

const: 66.0ms (2.4% of total)

backward-pass: 9.0ms (0.3% of total)

Bogosity

preprocess170.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1430×	`associate-*r/`
1168×	`associate-r`
1118×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	263
1	281	227
2	988	197
3	3692	197
4	4350	197
5	5170	197
6	6243	197
0	19	17
1	39	15
2	117	13
3	392	13
4	1386	13
5	3148	13
6	3240	13
7	3290	13
8	3290	13
9	3290	13
10	3913	13
11	3952	13
12	3952	13
0	3952	13

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))

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

Call 2

Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))

Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3)
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z))))

Symmetry

(sort y z)

explain357.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
23	-	2	(4.7092682794298994e-155 -7.189531752635645e+163 2.1667503607217106e-134 1.7079908272206288e+156)	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
15	-	3	(1.7769300809936316e-37 -3.9850873989263514e+264 -126115443278410.5 6.1392548623885405e+206)	`(.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	-	`x`
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	-	`(sqrt.f64 t)`
0	-	0	-	`(*.f64 z #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 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	-	`z`
0	-	0	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	0	-	`#s(literal 27 binary64)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 y #s(literal 27 binary64))`
0	-	0	-	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`t`

Results

198.0ms

512×

valid

Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 75.0ms (51.3% of total)

ival-div: 51.0ms (34.9% of total)

ival-acos: 9.0ms (6.2% of total)

const: 6.0ms (4.1% of total)

ival-sqrt: 4.0ms (2.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(.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))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))

Status

Accuracy

Program

▶

98.5%

(*.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))))

▶

97.3%

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

Compiler

Compiled 40 to 32 computations (20% saved)

localize345.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	cost-diff	256	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	cost-diff	256	(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)))
✓	cost-diff	384	(.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))))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))
✓	cost-diff	0	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	cost-diff	0	(acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	99.3%	(/.f64 x (*.f64 y #s(literal 27 binary64)))
✓	accuracy	98.5%	(.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))))
✓	accuracy	95.3%	(.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓	accuracy	92.1%	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
✓	accuracy	95.3%	(.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓	accuracy	92.4%	(/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z))

Rules

2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1176×	`associate-*l/`
1126×	`associate-r`
1092×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	119
1	58	117
2	181	117
3	544	117
4	1560	117
5	3040	117
6	3081	117
7	3102	117
8	3102	117
9	3102	117
10	3625	117
11	3641	117
12	3641	117
0	3641	117

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

170.0ms

256×

valid

Compiler

Compiled 150 to 90 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 51.0ms (53.5% of total)

ival-div: 29.0ms (30.4% of total)

ival-acos: 10.0ms (10.5% of total)

const: 4.0ms (4.2% of total)

ival-sqrt: 2.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (0.2%)

Counts

10 → 396

Calls

Call 1

Inputs
#<alt (/ (* x 1/18) (* y z))>
#<alt (* (/ (* x 1/18) (* y z)) (sqrt t))>
#<alt (* 1/3 (acos (* (/ (* x 1/18) (* y z)) (sqrt t))))>
#<alt (* x 1/18)>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (/ x (* y 27))>
#<alt (acos (* (/ (* x 1/18) (* y z)) (sqrt t)))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>

Outputs
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/18 x)>
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#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
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#<alt (* 1/18 x)>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(/ x (* y 27))
3.0ms	t	@	-inf	(* (/ (* x 1/18) (* y z)) (sqrt t))
2.0ms	t	@	inf	(* (/ (* x 1/18) (* y z)) (sqrt t))
1.0ms	z	@	0	(/ (* x 1/18) (* y z))
1.0ms	t	@	0	(* (/ (* x 1/18) (* y z)) (sqrt t))

rewrite664.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

6348×	`-lowering-.f32`
6348×	`-lowering-.f64`
3622×	`/-lowering-/.f32`
3622×	`/-lowering-/.f64`
1960×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	90
1	87	90
2	551	90
3	5084	90
0	9015	90

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 1416

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))
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(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))
(-.f64 (PI.f64) (acos.f64 (.f64 (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 x y)) z) (sqrt.f64 t))))
(-.f64 (PI.f64) (acos.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y))) (*.f64 z #s(literal -2 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 x (sqrt.f64 t))) (*.f64 y (-.f64 #s(literal 0 binary64) z)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 (/.f64 x y) #s(literal -1/9 binary64))) (*.f64 z #s(literal 2 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))))
(-.f64 (/.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))))))))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))

simplify381.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4146×	`-lowering-.f32`
4146×	`-lowering-.f64`
3464×	`/-lowering-/.f32`
3464×	`/-lowering-/.f64`
1234×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	4004
1	62	3956
2	193	3924
3	738	3924
4	2554	3924
5	4433	3924
6	6206	3924
0	8067	3924

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

eval497.0ms (2%)

Compiler: Compiled 31457 to 20331 computations (35.4% saved)

prune547.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1809	3	1812
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1811	3	1814

Accuracy

98.5%

Counts

1814 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
▶	97.3%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))))))
▶	98.5%	(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))

Status

Accuracy

Program

▶

97.3%

(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))

▶

97.3%

(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))))))

▶

98.5%

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

Compiler

Compiled 121 to 83 computations (31.4% saved)

localize1.4s (5.5%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64)))))
✓	cost-diff	128	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))))))
✓	cost-diff	0	(/.f64 (sqrt.f64 t) (/.f64 z x))
✓	cost-diff	0	(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))
✓	cost-diff	0	(acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))
✓	accuracy	98.7%	(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	accuracy	95.1%	(/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))
✓	accuracy	93.5%	(/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))
✓	accuracy	87.1%	(PI.f64)
✓	accuracy	98.6%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	95.1%	(/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))
✓	accuracy	93.5%	(/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))
✓	accuracy	87.1%	(PI.f64)
✓	accuracy	99.6%	(/.f64 y #s(literal 1/18 binary64))
✓	accuracy	98.7%	(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))
✓	accuracy	96.4%	(/.f64 (sqrt.f64 t) (/.f64 z x))
✓	accuracy	94.0%	(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))

Rules

5190×	`accelerator-lowering-fma.f32`
5190×	`accelerator-lowering-fma.f64`
4166×	`-lowering-.f32`
4166×	`-lowering-.f64`
2016×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	473
1	89	473
2	197	471
3	453	471
4	1078	471
5	1972	471
6	2717	471
7	4084	471
8	6025	471
0	8156	457

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18))))
1/3
(acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18)))
(/ (/ (sqrt t) (/ z x)) (/ y 1/18))
(/ (sqrt t) (/ z x))
(sqrt t)
t
(/ z x)
z
x
(/ y 1/18)
y
1/18
(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))))
1
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(asin (/ (sqrt t) (/ (* y z) (* x 1/18))))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(/ (* y z) (* x 1/18))
(* y z)
(* x 1/18)
(+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))
(/ (PI) 2)
2
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
8
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)
3
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)

Outputs
(* 1/3 (acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18))))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))))
1/3
#s(literal 1/3 binary64)
(acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18)))
(acos.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64))))))
(/ (/ (sqrt t) (/ z x)) (/ y 1/18))
(/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))
(/ (sqrt t) (/ z x))
(/.f64 (sqrt.f64 t) (/.f64 z x))
(sqrt t)
(sqrt.f64 t)
t
(/ z x)
(/.f64 z x)
z
x
(/ y 1/18)
(/.f64 y #s(literal 1/18 binary64))
y
1/18
#s(literal 1/18 binary64)
(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 3 binary64)))))
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))))
(/.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))
(/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 3 binary64))))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))))
(+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(asin (/ (sqrt t) (/ (* y z) (* x 1/18))))
(asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64))))))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))
(/ (* y z) (* x 1/18))
(.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64))))
(* y z)
(*.f64 z y)
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
(+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
8
#s(literal 8 binary64)
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)))
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (.f64 y (/.f64 z (.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64))

Results

487.0ms	222×	0	valid
242.0ms	34×	5	exit

Compiler

Compiled 571 to 282 computations (50.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 578.0ms

ival-div: 218.0ms (37.7% of total)

ival-asin: 107.0ms (18.5% of total)

ival-mult: 97.0ms (16.8% of total)

backward-pass: 53.0ms (9.2% of total)

ival-pow: 51.0ms (8.8% of total)

ival-add: 21.0ms (3.6% of total)

ival-sub: 12.0ms (2.1% of total)

const: 10.0ms (1.7% of total)

ival-acos: 5.0ms (0.9% of total)

ival-sqrt: 3.0ms (0.5% of total)

ival-pi: 1.0ms (0.2% of total)

series156.0ms (0.6%)

Counts

17 → 612

Calls

Call 1

Inputs
#<alt (/ (/ (sqrt t) (/ z x)) (/ y 1/18))>
#<alt (/ (sqrt t) (/ z x))>
#<alt (* 1/3 (acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18))))>
#<alt (/ y 1/18)>
#<alt (PI)>
#<alt (/ (* y z) (* x 1/18))>
#<alt (/ (sqrt t) (/ (* y z) (* x 1/18)))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)>
#<alt (acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18)))>
#<alt (* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))>
#<alt (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))))>
#<alt (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))))>
#<alt (/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))>
#<alt (/ (* (PI) (PI)) 4)>

Outputs
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
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#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>

Calls

153 calls:

Time	Variable		Point	Expression
10.0ms	t	@	inf	(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
3.0ms	t	@	0	(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
3.0ms	t	@	-inf	(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
2.0ms	z	@	0	(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
2.0ms	x	@	-inf	(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))

rewrite987.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

5578×	`-lowering-.f32`
5578×	`-lowering-.f64`
4278×	`/-lowering-/.f32`
4278×	`/-lowering-/.f64`
3646×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	232
1	255	192
2	2021	192
0	8998	190

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 924

Calls

Call 1

Inputs
(/ (/ (sqrt t) (/ z x)) (/ y 1/18))
(/ (sqrt t) (/ z x))
(* 1/3 (acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18))))
(/ y 1/18)
(PI)
(/ (* y z) (* x 1/18))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(* (PI) (* (PI) (PI)))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(acos (/ (/ (sqrt t) (/ z x)) (/ y 1/18)))
(* 1/3 (/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))))
(/ 1 (/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3))))
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))) (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 3)))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))))
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(/ (* (PI) (PI)) 4)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal -1/18 binary64)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal -1/18 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z (neg.f64 x))) (/.f64 y #s(literal 1/18 binary64))))
(/.f64 (sqrt.f64 t) (/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 z (.f64 (sqrt.f64 t) x)) (/.f64 y #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 (.f64 z y) (.f64 x #s(literal -1/18 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (*.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 z (neg.f64 x))))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z (neg.f64 x))) (/.f64 y #s(literal -1/18 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (/.f64 #s(literal 18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)) #s(literal 18 binary64))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (.f64 (/.f64 z (neg.f64 x)) (/.f64 y #s(literal 1/18 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64)) (/.f64 y #s(literal 1/18 binary64)))
(/.f64 (.f64 (sqrt.f64 t) (.f64 x #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 z (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1/18 binary64)) y)
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 z #s(literal 1/18 binary64)))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) (/.f64 z x))
(pow.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 (sqrt.f64 t) x)) (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (/.f64 z x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 t) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) (/.f64 y #s(literal 1/18 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))
(.f64 #s(literal 1/18 binary64) (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(.f64 (.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 z y) (*.f64 x #s(literal -1/18 binary64)))))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z (neg.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1/18 binary64))))
(.f64 (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(.f64 (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (.f64 x #s(literal 1/18 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (/.f64 x #s(literal 18 binary64)))
(.f64 (/.f64 (sqrt.f64 t) z) (.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
(.f64 (.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 x z) #s(literal 18 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z y)) (pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) x) (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)))
(.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(.f64 (/.f64 (sqrt.f64 t) (.f64 z (neg.f64 y))) (*.f64 x #s(literal -1/18 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (neg.f64 y)) #s(literal -1/18 binary64))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 18 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (pow.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 (sqrt.f64 t) x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sqrt.f64 t) (/.f64 z (neg.f64 x))))
(/.f64 (sqrt.f64 t) (/.f64 z x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (sqrt.f64 t) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 z (neg.f64 x)))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (/.f64 z x))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(*.f64 x (/.f64 (sqrt.f64 t) z))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 x))))
(*.f64 (/.f64 x z) (sqrt.f64 t))
(*.f64 (/.f64 x z) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (neg.f64 x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(/.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) #s(literal -1/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(/.f64 (.f64 (.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(fma.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(fma.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64)))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64)))) (.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 (PI.f64) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(.f64 (neg.f64 (.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(.f64 (.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64))
(.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64))

simplify695.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4908×	`accelerator-lowering-fma.f32`
4908×	`accelerator-lowering-fma.f64`
4510×	`-lowering-.f32`
4510×	`-lowering-.f64`
2550×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	15964
1	172	15692
2	474	15624
3	1400	15624
4	2861	15624
5	5715	15624
0	8049	15048

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

Inputs
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))

Outputs
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal -1/18 binary64) z)) (sqrt.f64 t)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal -1/18 binary64) z)) (sqrt.f64 t)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal -1/18 binary64) z)) (sqrt.f64 t)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (.f64 x (/.f64 #s(literal -1/18 binary64) z)) (sqrt.f64 t)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (.f64 (sqrt.f64 t) (/.f64 (.f64 #s(literal 1/18 binary64) x) y)) z)) #s(literal 2 binary64)))

eval1.8s (7.2%)

Compiler: Compiled 149690 to 80230 computations (46.4% saved)

prune611.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	2722	4	2726
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	2724	5	2729

Accuracy

100.0%

Counts

2729 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
▶	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))
▶	97.2%	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	99.6%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))))))
✓	98.5%	(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))

Compiler

Compiled 226 to 136 computations (39.8% saved)

localize2.4s (9.6%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6656	(/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64))
✓	cost-diff	6656	(-.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))
✓	cost-diff	6656	(.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓	cost-diff	6656	(/.f64 (.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))
✓	cost-diff	0	(acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
✓	cost-diff	64	(pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12928	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	128	(+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64)))
✓	cost-diff	128	(.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64)))))
✓	cost-diff	256	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))
✓	accuracy	92.3%	(/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))
✓	accuracy	98.5%	(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))
✓	accuracy	98.2%	(/.f64 (/.f64 (sqrt.f64 t) z) y)
✓	accuracy	93.6%	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
✓	accuracy	98.5%	(pow.f64 (pow.f64 (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	98.5%	(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.2%	(/.f64 (/.f64 (sqrt.f64 t) z) y)
✓	accuracy	93.6%	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.2%	(/.f64 (/.f64 (sqrt.f64 t) z) y)
✓	accuracy	93.6%	(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)

Rules

12286×	`accelerator-lowering-fma.f32`
12286×	`accelerator-lowering-fma.f64`
7102×	`+-lowering-+.f64`
7102×	`+-lowering-+.f32`
4874×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	938
1	157	887
2	416	887
3	1159	871
4	3010	871
0	8049	864

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
1/3
(/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))))
1
(* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9)))
(+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))
(asin (* (* (/ (/ (sqrt t) z) y) x) 1/18))
(* (* (/ (/ (sqrt t) z) y) x) 1/18)
(* (/ (/ (sqrt t) z) y) x)
(/ (/ (sqrt t) z) y)
(/ (sqrt t) z)
(sqrt t)
t
z
y
x
1/18
(+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2))
(/ (PI) 2)
2
(- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))
(/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512)
(* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (PI)))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
512
(pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9)
9
(+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))
(+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
64
(pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)
6
(/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)
(pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3)
(* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI))
3
8
(* 1/3 (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2))
(pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2)
(pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2)
(acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))
1/2
(/ 1 (/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3))
(/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3)
(/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))
(/ (* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)
(asin (/ (sqrt t) (/ (* y z) (* x 1/18))))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(/ (* y z) (* x 1/18))
(* y z)
(* x 1/18)
(+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))

Outputs
(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 3 binary64)) #s(literal 8 binary64)))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64)))))
1/3
#s(literal 1/3 binary64)
(/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64))) (.f64 (+.f64 (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 3 binary64)) #s(literal 8 binary64)))))))
1
#s(literal 1 binary64)
(* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))
(/.f64 (.f64 (+.f64 (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 3 binary64)) #s(literal 8 binary64)))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64))))
(/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9)))
(/.f64 (+.f64 (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64))))
(+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2))))
(+.f64 (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))
(.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(asin (* (* (/ (/ (sqrt t) z) y) x) 1/18))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))
(* (* (/ (/ (sqrt t) z) y) x) 1/18)
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))
(* (/ (/ (sqrt t) z) y) x)
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) x))
(/ (/ (sqrt t) z) y)
(/.f64 (sqrt.f64 t) (*.f64 z y))
(/ (sqrt t) z)
(/.f64 (sqrt.f64 t) z)
(sqrt t)
(sqrt.f64 t)
t
z
y
x
1/18
#s(literal 1/18 binary64)
(+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))
(-.f64 (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64)))
(/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512)
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))))) #s(literal 512 binary64))
(* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64)))))))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
512
#s(literal 512 binary64)
(pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 9 binary64))
9
#s(literal 9 binary64)
(+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))
(+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6))
(+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64)))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) #s(literal 64 binary64))
64
#s(literal 64 binary64)
(pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 6 binary64))
6
#s(literal 6 binary64)
(/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)
(/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))) #s(literal 3 binary64)) #s(literal 8 binary64))
(pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3)
(pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))) #s(literal 3 binary64))
(* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI))
(.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
3
#s(literal 3 binary64)
8
#s(literal 8 binary64)
(* 1/3 (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
(pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2)
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))
(pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2)
(sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
(acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))
1/2
#s(literal 1/2 binary64)
(/ 1 (/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3))
(.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
(/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3)
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
(/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))))
(/ (* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 2 binary64))
(asin (/ (sqrt t) (/ (* y z) (* x 1/18))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))
(/ (* y z) (* x 1/18))
(/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)
(* y z)
(*.f64 z y)
(* x 1/18)
(*.f64 x #s(literal 1/18 binary64))
(+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))

Results

837.0ms

256×

valid

Compiler

Compiled 1188 to 418 computations (64.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-mult: 192.0ms (28% of total)

ival-pow: 172.0ms (25.1% of total)

ival-div: 122.0ms (17.8% of total)

ival-asin: 109.0ms (15.9% of total)

ival-add: 39.0ms (5.7% of total)

ival-acos: 19.0ms (2.8% of total)

const: 17.0ms (2.5% of total)

ival-sub: 9.0ms (1.3% of total)

ival-cbrt: 2.0ms (0.3% of total)

ival-sqrt: 2.0ms (0.3% of total)

ival-pi: 1.0ms (0.1% of total)

backward-pass: 0.0ms (0% of total)

series156.0ms (0.6%)

Counts

22 → 840

Calls

Call 1

Inputs
#<alt (* (/ (/ (sqrt t) z) y) x)>
#<alt (/ (/ (sqrt t) z) y)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))>
#<alt (* 1/3 (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2))>
#<alt (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2)>
#<alt (/ 1 (/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3))>
#<alt (/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3)>
#<alt (/ (* y z) (* x 1/18))>
#<alt (/ (sqrt t) (/ (* y z) (* x 1/18)))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))>
#<alt (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))))>
#<alt (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))>
#<alt (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))>
#<alt (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2)>
#<alt (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))>
#<alt (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))>
#<alt (/ (* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))>
#<alt (* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)>
#<alt (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))>
#<alt (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)>

Outputs
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* (sqrt t) (/ 1 (* y z)))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
#<alt (/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))>
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#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>

Calls

210 calls:

Time	Variable		Point	Expression
24.0ms	t	@	-inf	(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
8.0ms	t	@	0	(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
6.0ms	x	@	-inf	(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
5.0ms	z	@	inf	(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
5.0ms	t	@	inf	(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))

rewrite796.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4318×	`-lowering-.f32`
4318×	`-lowering-.f64`
4240×	`accelerator-lowering-fma.f32`
4240×	`accelerator-lowering-fma.f64`
3840×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	524
1	427	494
2	3387	494
0	9564	480

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 998

Calls

Call 1

Inputs
(* (/ (/ (sqrt t) z) y) x)
(/ (/ (sqrt t) z) y)
(* (PI) (* (PI) (PI)))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(* 1/3 (pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2))
(pow (pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2) 2)
(/ 1 (/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3))
(/ (/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))) 1/3)
(/ (* y z) (* x 1/18))
(/ (sqrt t) (/ (* y z) (* x 1/18)))
(cbrt (* (PI) (* (PI) (PI))))
(* 1/3 (/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))))
(/ 1 (* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))))
(* (/ (+ (/ (* (PI) (PI)) 4) (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (+ (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (/ (PI) 2)))) (- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 512) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 9))) (+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8)))
(+ (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 6)) (/ (pow (* (asin (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (PI)) 3) 8))
(pow (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/2)
(acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))
(/ 1 (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))
(/ (* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (/ (* y z) (* x 1/18))))))
(* (- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2)) 1/3)
(- (/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4) (pow (asin (/ (sqrt t) (/ (* y z) (* x 1/18)))) 2))
(/ (* (cbrt (* (PI) (* (PI) (PI)))) (PI)) 4)

Outputs
(/.f64 x (/.f64 y (/.f64 (sqrt.f64 t) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (*.f64 (sqrt.f64 t) x) z))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (/.f64 (sqrt.f64 t) z))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 x (sqrt.f64 t)) (.f64 z y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (.f64 (sqrt.f64 t) x) (.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y (/.f64 (sqrt.f64 t) z))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) x)) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y (/.f64 (sqrt.f64 t) z))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 y (/.f64 (*.f64 (sqrt.f64 t) x) z)) #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(.f64 (/.f64 (sqrt.f64 t) z) (.f64 (/.f64 #s(literal 1 binary64) y) x))
(.f64 (/.f64 (sqrt.f64 t) (.f64 z y)) x)
(.f64 x (/.f64 (sqrt.f64 t) (.f64 z y)))
(.f64 (/.f64 (.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (sqrt.f64 t) (*.f64 z y))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 (sqrt.f64 t) z) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 (sqrt.f64 t) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z y) (sqrt.f64 t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (sqrt.f64 t)))
(/.f64 (.f64 (sqrt.f64 t) #s(literal 1 binary64)) (.f64 z y))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (sqrt.f64 t) y) z)
(/.f64 (neg.f64 (.f64 (sqrt.f64 t) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (.f64 z y)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 t) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 z (sqrt.f64 t))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z y))))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) y))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(pow.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z (sqrt.f64 t)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z y) (sqrt.f64 t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (.f64 z y)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1 binary64) y))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (.f64 z y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (pow.f64 (/.f64 y (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) (.f64 #s(literal 3 binary64) (log.f64 (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 18 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 12 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(.f64 (PI.f64) (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(.f64 (.f64 (PI.f64) (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 6 binary64)))
(.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 16/3 binary64)))
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(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64)) (.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64)) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (*.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64)) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (*.f64 x #s(literal 1/18 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64)) (/.f64 (pow.f64 (.f64 (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)))
(/.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (PI.f64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(.f64 (PI.f64) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (PI.f64) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64))
(.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (PI.f64)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) (PI.f64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (PI.f64))
(.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 1/2 binary64))

simplify1.5s (6%)

Algorithm

1×	egg-herbie

Rules

17436×	`accelerator-lowering-fma.f32`
17436×	`accelerator-lowering-fma.f64`
7864×	`+-lowering-+.f64`
7864×	`+-lowering-+.f32`
5398×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	25148
1	246	24628
2	855	24516
3	3536	24516
0	8766	23652

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 840

Calls

Call 1

Inputs
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 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))))))
(* 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))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(* 1/3 (/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)) (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 9)))
(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))
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(/ (* (+ (* 1/64 (pow (PI) 6)) (+ (* 1/8 (* (pow (PI) 3) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 6))) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))) (- (* 1/512 (pow (PI) 9)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 9)))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))

Outputs
(* (sqrt t) (/ x (* y z)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) z)
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (.f64 #s(literal 1/18 binary64) x) z))) #s(literal 2 binary64)))

eval2.1s (8.5%)

Compiler: Compiled 227536 to 104020 computations (54.3% saved)

prune758.0ms (3.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	3222	2	3224
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	3225	4	3229

Accuracy

100.0%

Counts

3229 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
▶	97.3%	(/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))
✓	99.6%	(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))))))
✓	98.5%	(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))

Compiler

Compiled 174 to 98 computations (43.7% saved)

localize187.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))
✓	cost-diff	0	(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))))
✓	cost-diff	6464	(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
✓	cost-diff	0	(sqrt.f64 t)
✓	cost-diff	0	(/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))
✓	cost-diff	0	(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))
✓	cost-diff	0	(/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))
✓	accuracy	92.3%	(/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/18 binary64))
✓	accuracy	98.5%	(/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))
✓	accuracy	94.7%	(/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))
✓	accuracy	92.3%	(/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))

Rules

256×	`-lowering-.f32`
256×	`-lowering-.f64`
176×	`/-lowering-/.f32`
176×	`/-lowering-/.f64`
88×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	29	82
2	68	82
3	138	82
4	247	82
5	339	82
6	366	82
0	366	82

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

Results

112.0ms

256×

valid

Compiler

Compiled 131 to 63 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-div: 37.0ms (45.2% of total)

ival-mult: 23.0ms (28.1% of total)

ival-acos: 12.0ms (14.7% of total)

ival-pow: 4.0ms (4.9% of total)

ival-sqrt: 2.0ms (2.4% of total)

const: 2.0ms (2.4% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts

8 → 300

Calls

Call 1

Inputs
#<alt (/ (* z y) (* x 1/18))>
#<alt (/ (sqrt t) (/ (* z y) (* x 1/18)))>
#<alt (/ (acos (/ (sqrt t) (/ (* z y) (* x 1/18)))) 3)>
#<alt (* x 1/18)>
#<alt (/ 3 (acos (/ (sqrt t) (/ (* z y) (* x 1/18)))))>
#<alt (acos (/ (sqrt t) (/ (* z y) (* x 1/18))))>
#<alt (sqrt t)>
#<alt (pow (/ 3 (acos (/ (sqrt t) (/ (* z y) (* x 1/18))))) -1)>

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

Calls

75 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(sqrt t)
0.0ms	z	@	-inf	(pow (/ 3 (acos (/ (sqrt t) (/ (* z y) (* x 1/18))))) -1)
0.0ms	z	@	0	(/ (* z y) (* x 1/18))
0.0ms	x	@	inf	(/ (* z y) (* x 1/18))
0.0ms	y	@	0	(/ 3 (acos (/ (sqrt t) (/ (* z y) (* x 1/18)))))

rewrite608.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5724×	`-lowering-.f32`
5724×	`-lowering-.f64`
4062×	`/-lowering-/.f32`
4062×	`/-lowering-/.f64`
1844×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	68	72
2	391	72
3	3261	72
0	9626	72

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 731

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 z y) x) #s(literal -1/18 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal -1/18 binary64))) (/.f64 (/.f64 (.f64 z y) x) #s(literal -1/18 binary64)))
(neg.f64 (/.f64 (/.f64 (*.f64 z y) x) #s(literal -1/18 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 (*.f64 z y) x) #s(literal -1/18 binary64)) #s(literal 1 binary64)))
(/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))
(/.f64 (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 x #s(literal -1/18 binary64)) (.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (/.f64 (/.f64 (*.f64 z y) x) #s(literal -1/18 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (.f64 x #s(literal -1/18 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z y)) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/18 binary64))))
(/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x z))
(/.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(/.f64 (/.f64 (*.f64 z y) x) #s(literal 1/18 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z y) x)) #s(literal -1/18 binary64))
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (/.f64 x y))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 #s(literal 18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(/.f64 (/.f64 z (/.f64 #s(literal 1/18 binary64) y)) x)
(/.f64 (/.f64 z (/.f64 #s(literal 1/18 binary64) y)) (*.f64 #s(literal 1 binary64) x))
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(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))) #s(literal -1/3 binary64))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))) #s(literal -1/3 binary64))
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -3 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/3 binary64))) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1/3 binary64))) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64))))))
(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 #s(literal 3 binary64)))) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))
(.f64 (exp.f64 (.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1 binary64))) (acos.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (pow.f64 t #s(literal -1/2 binary64)))))

simplify702.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

3514×	`-lowering-.f32`
3514×	`-lowering-.f64`
2684×	`accelerator-lowering-fma.f32`
2684×	`accelerator-lowering-fma.f64`
2288×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	3272
1	72	3208
2	216	3192
3	775	3192
4	1940	3192
5	4433	3192
6	5807	3192
7	7304	3192
0	8218	3192

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

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

eval766.0ms (3.1%)

Compiler: Compiled 41729 to 26530 computations (36.4% saved)

prune365.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1668	1	1669
Fresh	0	0	0
Picked	1	1	2
Done	1	1	2
Total	1670	3	1673

Accuracy

100.0%

Counts

1673 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

100.0%

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

✓

97.3%

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

✓

98.5%

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

Compiler

Compiled 434 to 247 computations (43.1% saved)

regimes44.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/3 binary64) (acos.f64 (.f64 (/.f64 (.f64 x #s(literal 1/18 binary64)) (.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64)))))
(/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 z y) (.f64 x #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 y #s(literal 1/18 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(/.f64 (.f64 (-.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (.f64 x #s(literal 1/18 binary64)))))))) (-.f64 (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (.f64 y z) (*.f64 x #s(literal 1/18 binary64))))) #s(literal 3 binary64))))))
(.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (+.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 6 binary64))) (/.f64 (pow.f64 (.f64 (asin.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (PI.f64)) #s(literal 3 binary64)) #s(literal 8 binary64))))))

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

Calls

13 calls:

5.0ms	(*.f64 y #s(literal 27 binary64))
4.0ms	z
4.0ms	x
4.0ms	(sqrt.f64 t)
4.0ms	t

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`t`
100.0%	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))))`
100.0%	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)))`
100.0%	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))`
100.0%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
100.0%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
100.0%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
100.0%	1	`(*.f64 y #s(literal 27 binary64))`
100.0%	1	`(*.f64 z #s(literal 2 binary64))`
100.0%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes30.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

13 calls:

4.0ms	x
3.0ms	(sqrt.f64 t)
3.0ms	t
3.0ms	(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))
2.0ms	(*.f64 z #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`t`
98.8%	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))))`
98.8%	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)))`
98.8%	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))`
98.8%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.8%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.8%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.8%	1	`(*.f64 y #s(literal 27 binary64))`
98.8%	1	`(*.f64 z #s(literal 2 binary64))`
98.8%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes64.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

13 calls:

42.0ms	y
3.0ms	(*.f64 y #s(literal 27 binary64))
2.0ms	(*.f64 z #s(literal 2 binary64))
2.0ms	(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.5%	1	`x`
98.5%	1	`y`
98.5%	1	`z`
98.5%	1	`t`
98.5%	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))))`
98.5%	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)))`
98.5%	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))`
98.5%	1	`(/.f64 (.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))`
98.5%	1	`(.f64 #s(literal 3 binary64) (/.f64 x (.f64 y #s(literal 27 binary64))))`
98.5%	1	`(/.f64 x (*.f64 y #s(literal 27 binary64)))`
98.5%	1	`(*.f64 y #s(literal 27 binary64))`
98.5%	1	`(*.f64 z #s(literal 2 binary64))`
98.5%	1	`(sqrt.f64 t)`

Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

0.0ms	(sqrt.f64 t)
0.0ms	z
0.0ms	t
0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`y`
97.3%	1	`z`
97.3%	1	`t`
97.3%	1	`(sqrt.f64 t)`

Compiler

Compiled 26 to 21 computations (19.2% saved)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 60 to 39 computations (35% saved)

preprocess75.0ms (0.3%)

Remove: (sort y z)
Compiler: Compiled 398 to 300 computations (24.6% saved)

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

analyze481.0ms (2%)

sample5.0s (20.5%)

preprocess170.0ms (0.7%)

explain357.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize345.0ms (1.4%)

series41.0ms (0.2%)

rewrite664.0ms (2.7%)

simplify381.0ms (1.5%)

eval497.0ms (2%)

prune547.0ms (2.2%)

localize1.4s (5.5%)

series156.0ms (0.6%)

rewrite987.0ms (4%)

simplify695.0ms (2.8%)

eval1.8s (7.2%)

prune611.0ms (2.5%)

localize2.4s (9.6%)

series156.0ms (0.6%)

rewrite796.0ms (3.2%)

simplify1.5s (6%)

eval2.1s (8.5%)

prune758.0ms (3.1%)

localize187.0ms (0.8%)

series14.0ms (0.1%)

rewrite608.0ms (2.5%)

simplify702.0ms (2.9%)

eval766.0ms (3.1%)

prune365.0ms (1.5%)

regimes44.0ms (0.2%)

regimes30.0ms (0.1%)

regimes64.0ms (0.3%)

regimes3.0ms (0%)

soundness1.0ms (0%)

preprocess75.0ms (0.3%)

end0.0ms (0%)

Profiling