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

Time bar (total: 30.2s)

analyze441.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult: 99.0ms (45.3% of total)
ival-div: 60.0ms (27.5% of total)
ival-acos: 25.0ms (11.4% of total)
ival-sqrt: 24.0ms (11% of total)
const: 9.0ms (4.1% of total)
backward-pass: 1.0ms (0.5% of total)

sample4.7s (15.5%)

Results
2.4s16001×0invalid
1.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-mult: 1.2s (49.5% of total)
ival-div: 685.0ms (28% of total)
ival-sqrt: 256.0ms (10.5% of total)
ival-acos: 218.0ms (8.9% of total)
const: 65.0ms (2.7% of total)
backward-pass: 10.0ms (0.4% of total)
Bogosity

preprocess250.0ms (0.8%)

Algorithm
egg-herbie
Rules
2044×*-lowering-*.f32
2044×*-lowering-*.f64
1430×associate-*r/
1388×fma-define
1316×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092263
1281227
2988197
33692197
44386197
55771197
67648197
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
Stop Event
iter limit
saturated
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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
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)

explain160.0ms (0.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-4(-2.926995733630166e-181 4.221731352304889e+60 3.0442486223256793e+75 4.363333032871618e+283)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
150-2(1.6267938921543781e-251 -9.850142861479107e+69 -8.20432283010082e-25 1.882448275559086e+131)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
00-0-x
00-0-(*.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))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(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)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
01(8.92278807368921e-280 1.3460181212026333e+43 8.416173028883203e+275 1.4183075168338304e+224)0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-t
Results
95.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 23.0ms (46.1% of total)
ival-mult: 16.0ms (32.1% of total)
ival-acos: 5.0ms (10% of total)
ival-sqrt: 4.0ms (8% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

prune17.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
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))))
96.3%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify102.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff256
(*.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-diff256
(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-diff384
(*.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-diff0
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
cost-diff0
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
cost-diff0
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Rules
2044×*-lowering-*.f32
2044×*-lowering-*.f64
1186×associate-*l/
1120×associate-*r*
1096×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026134
155130
2156128
3482128
41540128
53040128
63079128
73098128
83098128
93098128
103658128
113674128
123674128
03674128
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
1/3
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1/18
(/ (/ (* x (sqrt t)) z) y)
(/ (* x (sqrt t)) z)
(* x (sqrt t))
x
(sqrt t)
t
z
y
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ 1 3)
1
3
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(/ x (* y 27))
x
(* y 27)
y
27
(* z 2)
z
2
(sqrt t)
t
Outputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
1/3
#s(literal 1/3 binary64)
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
1/18
#s(literal 1/18 binary64)
(/ (/ (* x (sqrt t)) z) y)
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
(/ (* x (sqrt t)) z)
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
z
y
(* (/ 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 (/.f64 (*.f64 x (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 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(* 3 (/ x (* y 27)))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
(/ x (* y 27))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(* y 27)
(*.f64 y #s(literal 27 binary64))
y
27
#s(literal 27 binary64)
(* z 2)
(*.f64 z #s(literal 2 binary64))
z
2
#s(literal 2 binary64)
(sqrt t)
(sqrt.f64 t)
t

localize114.0ms (0.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy98.5%
(*.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))))
accuracy95.1%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy94.2%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
accuracy95.9%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
accuracy92.4%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
85.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 18.0ms (38% of total)
...c/correct-round.rkt:119:19: 13.0ms (27.4% of total)
ival-div: 9.0ms (19% of total)
ival-acos: 5.0ms (10.5% of total)
ival-sqrt: 2.0ms (4.2% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series58.0ms (0.2%)

Counts
10 → 432
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))>
#<alt (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))>
#<alt (* 1/18 (/ (/ (* x (sqrt t)) z) y))>
#<alt (/ (/ (* x (sqrt t)) z) y)>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (/ (* x (sqrt t)) z)>
#<alt (* 3 (/ x (* y 27)))>
Outputs
#<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 (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 (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)))))>
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Calls

108 calls:

TimeVariablePointExpression
21.0ms
t
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
3.0ms
z
@0
(/ (* x (sqrt t)) z)
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite380.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
3118×/-lowering-/.f32
3118×/-lowering-/.f64
1776×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026112
191102
259094
3534094
0891194
Stop Event
iter limit
node limit
Counts
10 → 812
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(/ (/ (* x (sqrt t)) z) y)
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/ (* x (sqrt t)) z)
(* 3 (/ x (* y 27)))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(*.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.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 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (/.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 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(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 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #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 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal -1/18 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t))))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/18 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1/27 binary64))
(*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))

simplify227.0ms (0.8%)

Algorithm
egg-herbie
Rules
3426×*-lowering-*.f32
3426×*-lowering-*.f64
1870×/-lowering-/.f32
1870×/-lowering-/.f64
1482×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0354316
1794252
22754236
310394236
424384236
550204236
671374236
081964236
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
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(* 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)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.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 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) 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 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))
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(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)

eval191.0ms (0.6%)

Compiler

Compiled 21836 to 3747 computations (82.8% saved)

prune147.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New124311244
Fresh000
Picked202
Done000
Total124511246
Accuracy
98.5%
Counts
1246 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify12.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 t)
cost-diff0
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
cost-diff0
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
cost-diff0
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Rules
184×*-lowering-*.f32
184×*-lowering-*.f64
172×/-lowering-/.f32
172×/-lowering-/.f64
94×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
12157
24057
38857
414757
522057
625357
725757
025757
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
1/3
Outputs
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64))) #s(literal 1/3 binary64))
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(acos.f64 (/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) z) #s(literal 18 binary64))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z (*.f64 #s(literal 18 binary64) y)) x)
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)

localize53.0ms (0.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 18 binary64) (/.f64 x y))
accuracy98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
accuracy94.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
accuracy93.5%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
Results
39.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 6.0ms (29.1% of total)
ival-mult: 4.0ms (19.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (19.4% of total)
ival-acos: 4.0ms (19.4% of total)
ival-sqrt: 2.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0%)

Counts
6 → 216
Calls
Call 1
Inputs
#<alt (* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)>
#<alt (acos (/ (sqrt t) (* z (/ 18 (/ x y)))))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (sqrt t)>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ 18 (/ x y))>
Outputs
#<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 (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 (* 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 (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 (* 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 (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
Calls

54 calls:

TimeVariablePointExpression
1.0ms
z
@0
(* z (/ 18 (/ x y)))
1.0ms
y
@0
(* z (/ 18 (/ x y)))
1.0ms
y
@0
(/ 18 (/ x y))
0.0ms
x
@0
(* z (/ 18 (/ x y)))
0.0ms
x
@0
(/ 18 (/ x y))

rewrite365.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
4808×*-lowering-*.f32
4808×*-lowering-*.f64
3728×/-lowering-/.f32
3728×/-lowering-/.f64
1834×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
15148
229948
3247848
0882048
Stop Event
iter limit
node limit
Counts
6 → 557
Calls
Call 1
Inputs
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
(* z (/ 18 (/ x y)))
(/ 18 (/ x y))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))))) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) (/.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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(/.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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 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 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))
(/.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 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #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 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))))
(/.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 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))) (neg.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 (*.f64 z y) x))))))
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(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -18 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 18 binary64) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(neg.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
(/.f64 y (/.f64 x #s(literal 18 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (neg.f64 (/.f64 x #s(literal 18 binary64))))
(/.f64 #s(literal -18 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 18 binary64)))
(/.f64 (/.f64 y x) #s(literal 1/18 binary64))
(/.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) #s(literal -18 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/18 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)))
(/.f64 (*.f64 #s(literal 18 binary64) y) x)
(/.f64 (/.f64 #s(literal -18 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y))))
(/.f64 (*.f64 #s(literal -18 binary64) y) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal -18 binary64) y)) x)
(/.f64 (*.f64 y #s(literal -18 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y #s(literal -18 binary64))) x)
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)) (/.f64 (/.f64 x y) #s(literal 18 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 18 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 18 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 18 binary64) x))
(*.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -18 binary64) x))
(*.f64 #s(literal -18 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(*.f64 (/.f64 y x) #s(literal 18 binary64))
(*.f64 (/.f64 #s(literal 18 binary64) x) y)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -18 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 18 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -18 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -18 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -18 binary64) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -18 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal -18 binary64) x) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (/.f64 #s(literal 18 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))

simplify294.0ms (1%)

Algorithm
egg-herbie
Rules
3298×*-lowering-*.f32
3298×*-lowering-*.f64
1732×fnmsub-define
1626×fma-lowering-fma.f32
1626×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0322068
1722036
22162028
37852028
419672028
544662028
660382028
086302028
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* 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))))))
(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)))))
(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 (* 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 (* 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 (* 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 (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))))
(* 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))))
(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)))
(* 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))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) 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 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) y))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
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(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(sqrt t)
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ (* y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)

eval133.0ms (0.4%)

Compiler

Compiled 17142 to 2612 computations (84.8% saved)

prune165.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New7721773
Fresh000
Picked011
Done000
Total7722774
Accuracy
98.5%
Counts
774 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Compiler

Compiled 122 to 47 computations (61.5% saved)

simplify265.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff6464
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))
cost-diff12544
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)))))
cost-diff40576
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))))
cost-diff40576
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
Rules
2652×*-lowering-*.f32
2652×*-lowering-*.f64
1872×sum4-define
1362×fma-lowering-fma.f32
1362×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034539
189511
2291443
3940441
43331439
08233439
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(PI)
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2)
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(sqrt t)
t
(/ z (/ (/ x y) 18))
z
(/ (/ x y) 18)
(/ x y)
x
y
18
2
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))
(/ (PI) 2)
(* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
8
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
3
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
1/3
Outputs
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)))))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(PI)
(PI.f64)
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 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))
4
#s(literal 4 binary64)
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2)
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ (/ x y) 18))
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))
z
(/ (/ x y) 18)
(/.f64 (/.f64 x y) #s(literal 18 binary64))
(/ x y)
(/.f64 x y)
x
y
18
#s(literal 18 binary64)
2
#s(literal 2 binary64)
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 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 (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64))))
1/3
#s(literal 1/3 binary64)

localize647.0ms (2.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy95.2%
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))
accuracy93.5%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))
accuracy36.5%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)))
Results
465.0ms139×2valid
102.0ms112×1valid
2.0ms0valid
Compiler

Compiled 561 to 35 computations (93.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-pow: 40.0ms (21% of total)
ival-div: 37.0ms (19.4% of total)
ival-mult: 32.0ms (16.8% of total)
backward-pass: 20.0ms (10.5% of total)
ival-acos: 14.0ms (7.4% of total)
ival-pi: 12.0ms (6.3% of total)
...c/correct-round.rkt:119:19: 11.0ms (5.8% of total)
ival-sub: 9.0ms (4.7% of total)
ival-add: 7.0ms (3.7% of total)
ival-sqrt: 6.0ms (3.2% of total)
const: 2.0ms (1.1% of total)

series81.0ms (0.3%)

Counts
8 → 324
Calls
Call 1
Inputs
#<alt (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)>
#<alt (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))>
#<alt (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))>
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))>
#<alt (/ (sqrt t) (/ z (/ (/ x y) 18)))>
#<alt (/ z (/ (/ x y) 18))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
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#<alt (* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))>
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#<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 (* 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))>
Calls

81 calls:

TimeVariablePointExpression
11.0ms
t
@-inf
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
8.0ms
x
@inf
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
6.0ms
t
@inf
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
6.0ms
x
@-inf
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
5.0ms
t
@0
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)

rewrite488.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
5542×*-lowering-*.f32
5542×*-lowering-*.f64
2978×/-lowering-/.f32
2978×/-lowering-/.f64
2102×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
1240304
22268298
09569298
Stop Event
iter limit
node limit
Counts
8 → 342
Calls
Call 1
Inputs
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(/ z (/ (/ x y) 18))
(* (PI) (* (PI) (PI)))
Outputs
(/.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64)))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/3 binary64)))
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(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))

simplify328.0ms (1.1%)

Algorithm
egg-herbie
Rules
3632×*-lowering-*.f32
3632×*-lowering-*.f64
1818×+-lowering-+.f64
1818×+-lowering-+.f32
1728×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
06114972
117514492
255911196
3231810908
4796410908
0803610908
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
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(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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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))))
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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))))
(* 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))
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(* 18 (/ (* y z) x))
(* 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))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
Outputs
(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/6 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))
(* 18 (/ (* y z) x))
(*.f64 y (*.f64 #s(literal 18 binary64) (/.f64 z x)))

eval243.0ms (0.8%)

Compiler

Compiled 135729 to 3279 computations (97.6% saved)

prune104.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New124421246
Fresh000
Picked101
Done011
Total124531248
Accuracy
100.0%
Counts
1248 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
98.5%
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Compiler

Compiled 220 to 82 computations (62.7% saved)

simplify239.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff6464
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))
cost-diff12544
(-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)))))
cost-diff40576
(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))))
cost-diff40576
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff6208
(+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64)))
cost-diff6208
(/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff6208
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
Rules
2652×*-lowering-*.f32
2652×*-lowering-*.f64
2342×+-lowering-+.f64
2342×+-lowering-+.f32
1540×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0491001
1123984
2364916
31173910
43962908
08362908
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2))
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(PI)
(+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(sqrt t)
t
(/ z (/ (/ x y) 18))
z
(/ (/ x y) 18)
(/ x y)
x
y
18
(+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))
(/ (PI) 2)
2
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
8
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
3
-2
1/6
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(PI)
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2)
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(sqrt t)
t
(/ z (/ (/ x y) 18))
z
(/ (/ x y) 18)
(/ x y)
x
y
18
2
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))
(/ (PI) 2)
(* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(/ (pow (sqrt (PI)) 6) 8)
(pow (sqrt (PI)) 6)
(sqrt (PI))
6
8
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
3
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
1/3
Outputs
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
(/.f64 (*.f64 (+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64)))))) #s(literal 1/6 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(/.f64 (+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2))
(+.f64 (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) #s(literal 8 binary64))))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(PI)
(PI.f64)
(+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 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))
4
#s(literal 4 binary64)
(* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ (/ x y) 18))
(/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))
z
(/ (/ x y) 18)
(/.f64 x (*.f64 y #s(literal 18 binary64)))
(/ x y)
(/.f64 x y)
x
y
18
#s(literal 18 binary64)
(+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))
(+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 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 (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/4 binary64)))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 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 (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
-2
#s(literal -2 binary64)
1/6
#s(literal 1/6 binary64)
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -8 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)) (+.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal -1/4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64)))))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(PI)
(PI.f64)
(+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 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))
4
#s(literal 4 binary64)
(+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2)
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))
(acos (/ (sqrt t) (/ z (/ (/ x y) 18))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ (/ x y) 18))
(/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))
z
(/ (/ x y) 18)
(/.f64 x (*.f64 y #s(literal 18 binary64)))
(/ x y)
(/.f64 x y)
x
y
18
#s(literal 18 binary64)
2
#s(literal 2 binary64)
(* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))
(+.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 1/4 binary64)))
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))
(/ (pow (sqrt (PI)) 6) 8)
(/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64))
(pow (sqrt (PI)) 6)
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(sqrt (PI))
(sqrt.f64 (PI.f64))
6
#s(literal 6 binary64)
8
#s(literal 8 binary64)
(pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)
(pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))))
1/3
#s(literal 1/3 binary64)

localize11.7s (38.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy97.5%
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
accuracy95.2%
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))
accuracy93.5%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))
accuracy36.5%
(-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy95.2%
(/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))
accuracy93.5%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))
accuracy36.5%
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64)))
Results
287.0ms139×2valid
152.0ms112×1valid
3.0ms0valid
Compiler

Compiled 1044 to 50 computations (95.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 262.0ms
ival-mult: 60.0ms (22.9% of total)
ival-div: 49.0ms (18.7% of total)
backward-pass: 34.0ms (13% of total)
...c/correct-round.rkt:119:19: 33.0ms (12.6% of total)
ival-pow: 29.0ms (11% of total)
ival-add: 17.0ms (6.5% of total)
ival-acos: 14.0ms (5.3% of total)
ival-sqrt: 11.0ms (4.2% of total)
ival-sub: 9.0ms (3.4% of total)
ival-pi: 4.0ms (1.5% of total)
const: 3.0ms (1.1% of total)

series67.0ms (0.2%)

Counts
14 → 564
Calls
Call 1
Inputs
#<alt (* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)>
#<alt (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))>
#<alt (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2))>
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))>
#<alt (* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)>
#<alt (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))>
#<alt (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))>
#<alt (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))>
#<alt (/ (sqrt t) (/ z (/ (/ x y) 18)))>
#<alt (/ z (/ (/ x y) 18))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))>
#<alt (pow (sqrt (PI)) 6)>
Outputs
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
Calls

141 calls:

TimeVariablePointExpression
5.0ms
t
@inf
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
3.0ms
x
@inf
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
3.0ms
t
@-inf
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
3.0ms
y
@0
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
3.0ms
t
@0
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)

rewrite442.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
3160×*-lowering-*.f32
3160×*-lowering-*.f64
2494×fma-lowering-fma.f32
2494×fma-lowering-fma.f64
2108×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049609
1349577
22944577
08617577
Stop Event
iter limit
node limit
Counts
14 → 600
Calls
Call 1
Inputs
(* (/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) 1/6)
(/ (+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2)) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(+ (* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2))))) (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)) -2))
(* (PI) (+ (/ (* (PI) (PI)) 4) (* (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (+ (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) (/ (PI) 2)))))
(* (/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))) 1/3)
(/ (- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3)))) (* 2 (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))))
(- (* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))))))) (* 2 (- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))))
(* (PI) (+ (/ (* (PI) (PI)) 4) (+ (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 2) (* (/ (PI) 2) (acos (/ (sqrt t) (/ z (/ (/ x y) 18))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(/ (sqrt t) (/ z (/ (/ x y) 18)))
(/ z (/ (/ x y) 18))
(* (PI) (* (PI) (PI)))
(- (/ (pow (sqrt (PI)) 6) 8) (pow (acos (/ (sqrt t) (/ z (/ (/ x y) 18)))) 3))
(pow (sqrt (PI)) 6)
Outputs
(/.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))) (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/3 binary64))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))))
(/.f64 (neg.f64 (-.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 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))))
(/.f64 (+.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)) (*.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)))))
(pow.f64 (/.f64 (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 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 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 (-.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 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64)))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)))))
(exp.f64 (*.f64 #s(literal 6 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64))))
(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 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.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 (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 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 6 binary64)))

simplify388.0ms (1.3%)

Algorithm
egg-herbie
Rules
3664×*-lowering-*.f32
3664×*-lowering-*.f64
1842×+-lowering-+.f64
1842×+-lowering-+.f32
1140×fnmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
07928540
123027580
266621564
3256021132
4747221132
0809621132
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/6 (/ (+ (* -2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))) (* (PI) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))) (+ (* 1/4 (pow (PI) 2)) (* (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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Outputs
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(* 1/2 (/ (- (* (PI) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))) (* 2 (- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))) (+ (* 1/4 (pow (PI) 2)) (+ (* 1/2 (* (PI) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
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(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64)))

eval718.0ms (2.4%)

Compiler

Compiled 251759 to 5236 computations (97.9% saved)

prune314.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New246812469
Fresh000
Picked112
Done011
Total246932472
Accuracy
100.0%
Counts
2472 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
98.5%
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Compiler

Compiled 653 to 161 computations (75.3% saved)

regimes42.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #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))))
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64)))))))))) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
Calls

13 calls:

6.0ms
x
4.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(*.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))))
3.0ms
(sqrt.f64 t)
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
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 108 computations (20% saved)

regimes27.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #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))))
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
Outputs
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Calls

13 calls:

2.0ms
(*.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))))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
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 108 computations (20% saved)

regimes6.0ms (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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Calls

5 calls:

1.0ms
(sqrt.f64 t)
1.0ms
y
1.0ms
z
1.0ms
t
1.0ms
x
Results
AccuracySegmentsBranch
96.3%1x
96.3%1y
96.3%1z
96.3%1t
96.3%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify39.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048120
162120
267120
369120
470120
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Outputs
(*.f64 (/.f64 (+.f64 (*.f64 (PI.f64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x y) #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 1/6 binary64))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))))

soundness6.2s (20.6%)

Rules
5542×*-lowering-*.f32
5542×*-lowering-*.f64
5482×*-lowering-*.f32
5482×*-lowering-*.f64
4808×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034328
1240304
22268298
09569298
026112
191102
259094
3534094
0891194
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
01348
15148
229948
3247848
0882048
049609
1349577
22944577
08617577
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
Compiler

Compiled 234 to 95 computations (59.4% saved)

preprocess79.0ms (0.3%)

Remove

(sort y z)

Compiler

Compiled 728 to 304 computations (58.2% saved)

end0.0ms (0%)

Profiling

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