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

Time bar (total: 26.9s)

analyze447.0ms (1.7%)

Algorithm
1×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: 225.0ms
ival-mult: 102.0ms (45.4% of total)
ival-div: 60.0ms (26.7% of total)
ival-sqrt: 28.0ms (12.5% of total)
ival-acos: 25.0ms (11.1% of total)
const: 8.0ms (3.6% of total)
backward-pass: 1.0ms (0.4% of total)

sample4.6s (17.1%)

Results
2.3s15830×0invalid
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult: 1.2s (48.9% of total)
ival-div: 690.0ms (27.9% of total)
ival-sqrt: 283.0ms (11.4% of total)
ival-acos: 212.0ms (8.6% of total)
const: 69.0ms (2.8% of total)
backward-pass: 9.0ms (0.4% of total)
Bogosity

preprocess177.0ms (0.7%)

Algorithm
2×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
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #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)

explain211.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-3(3.842084183073798e-242 7.411993830904939e-183 3.925196973338612e+254 1.3436234686634117e+262)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
170-4(-5.982444245693881e-161 -4.4440848148880006e+150 -7.143732972698207e-76 1.226034628865762e+299)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
10-0-(/.f64 x (*.f64 y #s(literal 27 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-y
00-0-(*.f64 y #s(literal 27 binary64))
01(-3.2111956245435387e-255 -5.979477267391341e+67 -1.2695272331947199e-176 1.1445570233785394e-257)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
146.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 53.0ms (70.1% of total)
ival-div: 12.0ms (15.9% of total)
ival-acos: 5.0ms (6.6% of total)
ival-sqrt: 4.0ms (5.3% of total)
const: 2.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
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))))
▶97.3%
(*.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)

simplify96.0ms (0.4%)

Algorithm
1×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
1×iter limit
1×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

localize124.0ms (0.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.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))))
✓accuracy94.4%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓accuracy93.3%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓accuracy99.6%
(*.f64 x (sqrt.f64 t))
✓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))))
✓accuracy93.8%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓accuracy92.8%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
90.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 18.0ms (36.4% of total)
ival-div: 16.0ms (32.3% of total)
...c/correct-round.rkt:119:19: 7.0ms (14.1% of total)
ival-acos: 5.0ms (10.1% of total)
ival-sqrt: 2.0ms (4% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series55.0ms (0.2%)

Counts
11 → 456
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 (* x (sqrt t))>
#<alt (/ 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)))))>
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#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
Calls

114 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
4.0ms
z
@0
(/ (* x (sqrt t)) z)
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
y
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite392.0ms (1.5%)

Algorithm
1×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
026114
191106
259098
3534098
0891198
Stop Event
1×iter limit
1×node limit
Counts
11 → 805
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)
(* x (sqrt t))
(/ 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)))
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(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/27 binary64))
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify230.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
3138×*-lowering-*.f32
3138×*-lowering-*.f64
1330×sum3-define
1260×/-lowering-/.f32
1260×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0384412
1864348
23124332
312614332
432304332
555544332
080894332
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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)))
(* 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))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(* 1/18 (/ x (* y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) 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)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(* 1/27 (/ x y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)

eval190.0ms (0.7%)

Compiler

Compiled 22127 to 3784 computations (82.9% saved)

prune152.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New125921261
Fresh000
Picked202
Done000
Total126121263
Accuracy
98.5%
Counts
1263 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
▶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 58 to 36 computations (37.9% saved)

simplify157.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
✓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
2080×*-lowering-*.f32
2080×*-lowering-*.f64
1784×sum3-define
1404×fma-define
1388×sum5-define
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
025220
142217
282217
3189217
4389217
5685217
61212217
72085217
84738215
08077215
Stop Event
1×iter limit
1×node limit
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
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)
(asin (/ (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
2
1/3
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(/ (PI) 2)
Outputs
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) #s(literal 1/3 binary64))
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y))
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)
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y))
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 x y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize119.0ms (0.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 18 binary64) (/.f64 x y))
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓accuracy93.5%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy92.7%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy99.6%
(/.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))
✓accuracy93.5%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy92.7%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
Results
83.0ms256×0valid
Compiler

Compiled 225 to 26 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 12.0ms (25% of total)
ival-mult: 11.0ms (22.9% of total)
ival-acos: 8.0ms (16.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (8.3% of total)
ival-pow: 4.0ms (8.3% of total)
ival-asin: 2.0ms (4.2% of total)
ival-sqrt: 2.0ms (4.2% of total)
ival-pi: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)
ival-sub: 1.0ms (2.1% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series56.0ms (0.2%)

Counts
10 → 360
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 (/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<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))))))>
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#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (* 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

90 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)
8.0ms
z
@inf
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)
3.0ms
x
@-inf
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
2.0ms
t
@0
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
2.0ms
t
@inf
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)

rewrite387.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
3812×*-lowering-*.f32
3812×*-lowering-*.f64
3334×/-lowering-/.f32
3334×/-lowering-/.f64
1288×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025106
1140104
21066104
08425104
Stop Event
1×iter limit
1×node limit
Counts
10 → 475
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)
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 2))
(/ (* (PI) (PI)) 4)
(* z (/ 18 (/ x y)))
(/ 18 (/ x y))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 6 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 6 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 4 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64)))))
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(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 #s(literal 18 binary64) y) x))
(*.f64 (/.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -18 binary64) (/.f64 y x)))
(*.f64 (/.f64 z (/.f64 x y)) #s(literal 18 binary64))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 18 binary64) y) x))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -18 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 18 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -18 binary64) (/.f64 y x)))
(neg.f64 (*.f64 #s(literal -18 binary64) (/.f64 y x)))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
(/.f64 y (/.f64 x #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 18 binary64) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 18 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 18 binary64) x)))
(/.f64 #s(literal -18 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 18 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 18 binary64) y))))
(/.f64 (*.f64 #s(literal 18 binary64) y) x)
(/.f64 (neg.f64 (/.f64 #s(literal 18 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 18 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 18 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 18 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) y) x))
(*.f64 #s(literal -18 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.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 y x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 #s(literal 18 binary64) y)))))
(*.f64 (*.f64 #s(literal 18 binary64) y) (/.f64 #s(literal 1 binary64) x))
(*.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 -18 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal -1/2 binary64)))

simplify333.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
3764×*-lowering-*.f32
3764×*-lowering-*.f64
1996×/-lowering-/.f32
1996×/-lowering-/.f64
1048×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0525700
11195556
23195532
310445532
425225532
555135532
080565532
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 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 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) 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 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
(* 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 (*.f64 (sqrt.f64 t) x) z)) y)))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64)))
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #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)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)

eval479.0ms (1.8%)

Compiler

Compiled 49734 to 2915 computations (94.1% saved)

prune152.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New138211383
Fresh000
Picked022
Done000
Total138231385
Accuracy
100.0%
Counts
1385 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
▶100.0%
(*.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 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 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 141 to 72 computations (48.9% saved)

simplify267.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64)))
✓cost-diff0
(/.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 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64))))
✓cost-diff128
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
✓cost-diff128
(*.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 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))))
Rules
3648×*-lowering-*.f32
3648×*-lowering-*.f64
3296×+-lowering-+.f64
3296×+-lowering-+.f32
1966×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036397
175388
2184388
3640388
42877388
08267388
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)))
1/3
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)
(asin (/ (sqrt t) (/ z (/ x (* 18 y)))))
(/ (sqrt t) (/ z (/ x (* 18 y))))
(sqrt t)
t
(/ z (/ x (* 18 y)))
z
(/ x (* 18 y))
x
(* 18 y)
18
y
3
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
4
(pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)
2
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))
1
(+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))
(* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))
(+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))
(/ (PI) -2)
-2
Outputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)))
(/.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 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 3 binary64))))
1/3
#s(literal 1/3 binary64)
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #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)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)
(pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 3 binary64))
(asin (/ (sqrt t) (/ z (/ x (* 18 y)))))
(asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y))
(/ (sqrt t) (/ z (/ x (* 18 y))))
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ x (* 18 y)))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
z
(/ x (* 18 y))
(/.f64 x (*.f64 #s(literal 18 binary64) y))
x
(* 18 y)
(*.f64 #s(literal 18 binary64) y)
18
#s(literal 18 binary64)
y
3
#s(literal 3 binary64)
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))))
(*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2))
(-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 2 binary64)))
(/ (PI) (/ 4 (PI)))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)
(pow.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64))))))
1
#s(literal 1 binary64)
(+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))
(*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64))))
(+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))
(+.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal 18 binary64)) z) y)) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/ (PI) -2)
(/.f64 (PI.f64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize179.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy94.4%
(/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y)))
✓accuracy92.7%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))
Results
111.0ms256×0valid
Compiler

Compiled 415 to 37 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 18.0ms (32.8% of total)
ival-mult: 10.0ms (18.2% of total)
ival-pow: 9.0ms (16.4% of total)
ival-add: 5.0ms (9.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.3% of total)
ival-pi: 2.0ms (3.6% of total)
ival-asin: 2.0ms (3.6% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-sub: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series50.0ms (0.2%)

Counts
7 → 276
Calls
Call 1
Inputs
#<alt (* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))>
#<alt (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))))>
#<alt (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))>
#<alt (/ (sqrt t) (/ z (/ x (* 18 y))))>
#<alt (/ z (/ x (* 18 y)))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
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#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<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 (* 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

69 calls:

TimeVariablePointExpression
5.0ms
t
@-inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
4.0ms
y
@inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
3.0ms
t
@0
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
3.0ms
t
@inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
3.0ms
x
@-inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))

rewrite630.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
5358×*-lowering-*.f32
5358×*-lowering-*.f64
3198×/-lowering-/.f32
3198×/-lowering-/.f64
2194×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036190
1229179
22137179
09466179
Stop Event
1×iter limit
1×node limit
Counts
7 → 234
Calls
Call 1
Inputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))) (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2)))))))
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 2)) (/ 1 (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (+ (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) (/ (PI) -2))))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3)))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ x (* 18 y))))) 3))
(/ (sqrt t) (/ z (/ x (* 18 y))))
(/ z (/ x (* 18 y)))
(* (PI) (* (PI) (PI)))
Outputs
(/.f64 #s(literal 1/3 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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (*.f64 y #s(literal -18 binary64)))))
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(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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simplify278.0ms (1%)

Algorithm
1×egg-herbie
Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
1730×+-lowering-+.f64
1730×+-lowering-+.f32
1692×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0588640
11408436
24168364
316268364
458498364
081528364
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
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(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(/ 1/3 (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 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))))
(* 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))
Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 3 binary64)))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
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(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 (*.f64 y z) #s(literal 18 binary64)) x)

eval145.0ms (0.5%)

Compiler

Compiled 77754 to 2105 computations (97.3% saved)

prune111.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New9501951
Fresh000
Picked101
Done022
Total9513954
Accuracy
100.0%
Counts
954 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
▶100.0%
(*.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 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 139 to 70 computations (49.6% saved)

simplify213.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))
✓cost-diff0
(/.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))))
✓cost-diff0
(*.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
Rules
3784×*-lowering-*.f32
3784×*-lowering-*.f64
1926×sum3-define
1276×+-lowering-+.f64
1276×+-lowering-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034360
171354
2238354
31067354
45792354
08142354
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)))
1/3
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)
(asin (/ (sqrt t) (/ z (/ (/ x 18) y))))
(/ (sqrt t) (/ z (/ (/ x 18) y)))
(sqrt t)
t
(/ z (/ (/ x 18) y))
z
(/ (/ x 18) y)
(/ x 18)
x
18
y
3
(* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2))
(/ (PI) (/ 4 (PI)))
(/ 4 (PI))
4
(pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)
2
(+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))
(* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))
(+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))
(/ (PI) -2)
-2
Outputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)))
(/.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))))
1/3
#s(literal 1/3 binary64)
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #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)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64))
(asin (/ (sqrt t) (/ z (/ (/ x 18) y))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y))))
(/ (sqrt t) (/ z (/ (/ x 18) y)))
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ (/ x 18) y))
(/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y))
z
(/ (/ x 18) y)
(/.f64 (/.f64 x #s(literal 18 binary64)) y)
(/ x 18)
(/.f64 x #s(literal 18 binary64))
x
18
#s(literal 18 binary64)
y
3
#s(literal 3 binary64)
(* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))))
(*.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64)))
(/ (PI) (/ 4 (PI)))
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))
(+.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))
(* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))
(+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(/ (PI) -2)
(/.f64 (PI.f64) #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize172.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy94.4%
(/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y))
✓accuracy92.7%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))
Results
90.0ms256×0valid
Compiler

Compiled 375 to 35 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 15.0ms (29.2% of total)
ival-mult: 10.0ms (19.5% of total)
ival-pow: 9.0ms (17.5% of total)
...c/correct-round.rkt:119:19: 7.0ms (13.6% of total)
ival-add: 4.0ms (7.8% of total)
ival-asin: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-pi: 1.0ms (1.9% of total)
ival-sub: 1.0ms (1.9% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.1%)

Counts
8 → 276
Calls
Call 1
Inputs
#<alt (* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))>
#<alt (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (/ (sqrt t) (/ z (/ (/ x 18) y)))>
#<alt (/ z (/ (/ x 18) y))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))))>
Outputs
#<alt (* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))>
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#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
t
@0
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
0.0ms
z
@-inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
0.0ms
t
@inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
0.0ms
x
@inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
0.0ms
x
@-inf
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))

rewrite11.4s (42.3%)

Algorithm
1×batch-egg-rewrite
Rules
5052×*-lowering-*.f32
5052×*-lowering-*.f64
2960×/-lowering-/.f32
2960×/-lowering-/.f64
1864×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034193
1217184
22081184
09025184
Stop Event
1×iter limit
1×node limit
Counts
8 → 228
Calls
Call 1
Inputs
(* (/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))) (* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2))))))
(/ 1/3 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3)))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(/ (sqrt t) (/ z (/ (/ x 18) y)))
(/ z (/ (/ x 18) y))
(* (PI) (* (PI) (PI)))
(* (- (/ (PI) (/ 4 (PI))) (pow (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) 2)) (+ (/ (PI) (/ 4 (PI))) (* (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (+ (asin (/ (sqrt t) (/ z (/ (/ x 18) y)))) (/ (PI) -2)))))
Outputs
(+.f64 (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)))) (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(+.f64 (*.f64 (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(+.f64 (*.f64 (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (/.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))) (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))))
(fma.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (*.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 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 4 binary64)))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 4 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 #s(literal -2 binary64) (PI.f64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 4 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 3 binary64))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (*.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (-.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64)))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(*.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (/.f64 x #s(literal 18 binary64))))) #s(literal 2 binary64))))

simplify266.0ms (1%)

Algorithm
1×egg-herbie
Rules
4616×*-lowering-*.f32
4616×*-lowering-*.f64
1730×+-lowering-+.f64
1730×+-lowering-+.f32
1692×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0588640
11408436
24168364
316268364
458498364
081528364
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
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Outputs
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(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* -1/2 (PI))))) (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (+.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)) #s(literal 2 binary64))))

eval158.0ms (0.6%)

Compiler

Compiled 76371 to 1973 computations (97.4% saved)

prune126.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New9390939
Fresh000
Picked011
Done022
Total9393942
Accuracy
100.0%
Counts
942 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.5%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
✓100.0%
(*.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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 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 381 to 152 computations (60.1% saved)

regimes36.0ms (0.1%)

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

13 calls:

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

regimes34.0ms (0.1%)

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

13 calls:

6.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
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)

regimes29.0ms (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
Outputs
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
Calls

13 calls:

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

regimes24.0ms (0.1%)

Counts
3 → 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))))
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:

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

regimes7.0ms (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
t
1.0ms
z
1.0ms
y
1.0ms
(sqrt.f64 t)
1.0ms
x
Results
AccuracySegmentsBranch
97.3%1x
97.3%1y
97.3%1z
97.3%1t
97.3%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
26×+-commutative_binary64
12×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072219
1101219
2111219
3117219
4120219
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
(*.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 #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 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 #s(literal 18 binary64) y))))) (/.f64 (PI.f64) #s(literal -2 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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (/.f64 (PI.f64) #s(literal -2 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 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))) (+.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 (/.f64 x #s(literal 18 binary64)) y)))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
(/.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 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (/.f64 (PI.f64) #s(literal 2 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 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))
(*.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))))

soundness4.3s (16.1%)

Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
5358×*-lowering-*.f32
5358×*-lowering-*.f64
3812×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025106
1140104
21066104
08425104
026114
191106
259098
3534098
0891198
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
036190
1229179
22137179
09466179
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 247 to 96 computations (61.1% saved)

preprocess78.0ms (0.3%)

Remove

(sort y z)

Compiler

Compiled 1364 to 572 computations (58.1% saved)

end0.0ms (0%)

Profiling

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