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

Time bar (total: 23.5s)

analyze429.0ms (1.8%)

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: 206.0ms
ival-mult: 93.0ms (45.1% of total)
ival-div: 62.0ms (30% of total)
ival-sqrt: 22.0ms (10.7% of total)
ival-acos: 21.0ms (10.2% of total)
const: 7.0ms (3.4% of total)
backward-pass: 1.0ms (0.5% of total)

sample4.5s (19.1%)

Results
2.0s15709×0invalid
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-mult: 1.0s (45.7% of total)
ival-div: 651.0ms (29.5% of total)
ival-sqrt: 286.0ms (13% of total)
ival-acos: 187.0ms (8.5% of total)
const: 63.0ms (2.9% of total)
backward-pass: 8.0ms (0.4% of total)
Bogosity

preprocess183.0ms (0.8%)

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)

explain186.0ms (0.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-1(5.383735585117289e-113 -6.878254563510562e+202 -1.3687550389116888e-184 4.1727571301795326e+225)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
150-5(6.678275967852311e-289 -4.065942727854148e+93 -5.1425958769382e-65 1.3450472663300267e+31)(*.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-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
00-0-(*.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
97.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 26.0ms (53.6% of total)
ival-div: 12.0ms (24.8% of total)
ival-acos: 5.0ms (10.3% of total)
ival-sqrt: 4.0ms (8.3% of total)
const: 1.0ms (2.1% 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
▶97.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶96.9%
(*.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)

simplify133.0ms (0.6%)

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

localize147.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
✓accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓accuracy95.3%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓accuracy93.5%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
✓accuracy95.5%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓accuracy90.9%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
105.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 44.0ms (60.5% of total)
ival-mult: 14.0ms (19.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (9.6% of total)
ival-acos: 5.0ms (6.9% of total)
ival-sqrt: 2.0ms (2.7% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.2%)

Counts
10 → 432
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))>
#<alt (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))>
#<alt (* 1/18 (/ (/ (* x (sqrt t)) z) y))>
#<alt (/ (/ (* x (sqrt t)) z) y)>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (/ (* x (sqrt t)) z)>
#<alt (* 3 (/ x (* y 27)))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
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#<alt (* 1/9 (/ x y))>
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#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
Calls

108 calls:

TimeVariablePointExpression
3.0ms
z
@0
(/ (* x (sqrt t)) z)
3.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
y
@0
(* 3 (/ x (* y 27)))

rewrite471.0ms (2%)

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
026112
191102
259094
3534794
0896194
Stop Event
1×iter limit
1×node limit
Counts
10 → 812
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(/ (/ (* x (sqrt t)) z) y)
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ (* 3 (/ x (* y 27))) (* z 2))
(/ (* x (sqrt t)) z)
(* 3 (/ x (* y 27)))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) 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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) (/.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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))
(-.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 (neg.f64 (/.f64 x (*.f64 y (/.f64 z (sqrt.f64 t))))) #s(literal 1/18 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 (/.f64 x (*.f64 y (/.f64 z (sqrt.f64 t))))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))
(-.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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (/.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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) 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 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(/.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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) z)) #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 (neg.f64 (/.f64 x (*.f64 y (/.f64 z (sqrt.f64 t))))) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 (/.f64 x (*.f64 y (/.f64 z (sqrt.f64 t)))))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) z) #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 (/.f64 z (sqrt.f64 t)) x)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) z)))
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.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 (/.f64 z (sqrt.f64 t)) x))
(/.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 (/.f64 z (sqrt.f64 t)) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) (-.f64 #s(literal 0 binary64) z))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/9 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 y x)) #s(literal 1/27 binary64))
(*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 y #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y x))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))

simplify258.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0354316
1794252
22764236
310384236
424134236
549884236
671024236
081614236
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
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(* 1/18 (/ x (* y z)))
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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)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y)))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) z))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) z))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) x) y))
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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)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)

eval161.0ms (0.7%)

Compiler

Compiled 21821 to 3750 computations (82.8% saved)

prune178.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New124131244
Fresh000
Picked112
Done000
Total124241246
Accuracy
98.5%
Counts
1246 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
▶98.3%
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
▶98.3%
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓96.9%
(*.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 152 to 79 computations (48% saved)

simplify222.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 12 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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓cost-diff0
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))
✓cost-diff0
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
✓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)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
✓cost-diff13696
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
✓cost-diff13696
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
Rules
2552×*-lowering-*.f32
2552×*-lowering-*.f64
1600×fma-lowering-fma.f32
1600×fma-lowering-fma.f64
1432×sum5-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
036548
170542
2163542
3396539
4906523
51689522
63150501
75417497
08176497
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
1/3
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
2
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
(/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(* (acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 1/3)
(acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
1/3
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
3
1/3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
2
Outputs
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))))
1/3
#s(literal 1/3 binary64)
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/.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 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(/ (* (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)
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
(/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 2 binary64))
(* (acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 1/3)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))
(acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
1/3
#s(literal 1/3 binary64)
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 3 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/24 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64)) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(-.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 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #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 (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) #s(literal 3 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
3
#s(literal 3 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize254.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy94.2%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy90.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.8%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
✓accuracy94.2%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy90.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.8%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓accuracy94.2%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy90.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
Results
125.0ms256×0valid
Compiler

Compiled 572 to 37 computations (93.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 17.0ms (26.8% of total)
ival-mult: 15.0ms (23.6% of total)
ival-pow: 9.0ms (14.2% of total)
...c/correct-round.rkt:119:19: 8.0ms (12.6% of total)
ival-acos: 4.0ms (6.3% of total)
ival-add: 2.0ms (3.1% of total)
ival-asin: 2.0ms (3.1% of total)
ival-sub: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-pi: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series115.0ms (0.5%)

Counts
14 → 504
Calls
Call 1
Inputs
#<alt (* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))>
#<alt (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))>
#<alt (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 1/3)>
#<alt (acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ 1/18 (/ (/ z (sqrt t)) x))>
#<alt (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))>
#<alt (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
#<alt (* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))>
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#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
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#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))>
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#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
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#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 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 (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* 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 (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
Calls

126 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
13.0ms
t
@-inf
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
10.0ms
y
@inf
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
4.0ms
t
@-inf
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
3.0ms
z
@0
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))

rewrite566.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
5092×/-lowering-/.f32
5092×/-lowering-/.f64
4146×*-lowering-*.f32
4146×*-lowering-*.f64
1804×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036272
1230154
22298154
09751154
Stop Event
1×iter limit
1×node limit
Counts
14 → 942
Calls
Call 1
Inputs
(* 1/3 (- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(- (/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))) (/ (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ (/ (* (PI) (PI)) 4) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/ (* (PI) (PI)) 4)
(* (acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 1/3)
(acos (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(/ (/ z (sqrt t)) x)
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t))))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t))))))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t)))))) #s(literal 1/3 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t)))))) #s(literal 1/3 binary64)))
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(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 t) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 z (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (neg.f64 (/.f64 z x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(pow.f64 (/.f64 (/.f64 z x) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t)))
(*.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (sqrt.f64 t)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 z x) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1 binary64)) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 t #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 t)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 z (pow.f64 t #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 t #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.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)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))

simplify380.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3940×*-lowering-*.f32
3940×*-lowering-*.f64
1710×/-lowering-/.f32
1710×/-lowering-/.f64
1078×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
07612724
118011980
248511868
3146511868
4303111244
5564511196
0818011196
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (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 (- (* 1/8 (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 (* 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 (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))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
Outputs
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(* 1/3 (- (* 1/4 (/ (pow (PI) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (/ (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
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(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 3 binary64)))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))

eval981.0ms (4.2%)

Compiler

Compiled 174420 to 6305 computations (96.4% saved)

prune336.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New310823110
Fresh000
Picked123
Done011
Total310953114
Accuracy
100.0%
Counts
3114 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
▶98.4%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
✓98.3%
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
✓98.3%
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓96.9%
(*.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 197 to 105 computations (46.7% saved)

simplify224.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64))))
✓cost-diff256
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
✓cost-diff256
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓cost-diff0
(asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y))
✓cost-diff0
(+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
Rules
4032×*-lowering-*.f32
4032×*-lowering-*.f64
1530×/-lowering-/.f32
1530×/-lowering-/.f64
1386×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
045416
1102407
2229405
3593403
41324400
52557400
64774399
08084399
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2)))
1/3
(+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))
(asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(* x (/ (* 1/18 (sqrt t)) z))
x
(/ (* 1/18 (sqrt t)) z)
(* 1/18 (sqrt t))
1/18
(sqrt t)
t
z
y
(* (PI) 1/2)
(PI)
1/2
(- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2))
(* 1/4 (* (PI) (PI)))
1/4
(* (PI) (PI))
(pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)
2
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
3
1/3
(+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ 1 (* (/ 2 (PI)) (/ 2 (PI))))
1
(* (/ 2 (PI)) (/ 2 (PI)))
(/ 2 (PI))
2
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
Outputs
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2)))
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
1/3
#s(literal 1/3 binary64)
(+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x))))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))
(* x (/ (* 1/18 (sqrt t)) z))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
x
(/ (* 1/18 (sqrt t)) z)
(/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t)))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
1/18
#s(literal 1/18 binary64)
(sqrt t)
(sqrt.f64 t)
t
z
y
(* (PI) 1/2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 2 binary64)))
(* 1/4 (* (PI) (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
1/4
#s(literal 1/4 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 3 binary64)) (/.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 (/.f64 z (sqrt.f64 t)) x)))) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x))))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(-.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 (/.f64 z (sqrt.f64 t)) x)))) #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 (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) #s(literal 3 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x))))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 (/.f64 z (sqrt.f64 t)) x)
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
3
#s(literal 3 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x))))))
(/ 1 (* (/ 2 (PI)) (/ 2 (PI))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
1
#s(literal 1 binary64)
(* (/ 2 (PI)) (/ 2 (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))
(/ 2 (PI))
(/.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(*.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize198.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy94.2%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy90.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
✓accuracy98.5%
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓accuracy94.8%
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
✓accuracy90.8%
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
Results
126.0ms256×0valid
Compiler

Compiled 454 to 46 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-div: 25.0ms (34.3% of total)
ival-mult: 16.0ms (21.9% of total)
ival-pow: 10.0ms (13.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (9.6% of total)
ival-add: 4.0ms (5.5% of total)
ival-asin: 4.0ms (5.5% of total)
ival-sub: 2.0ms (2.7% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series66.0ms (0.3%)

Counts
15 → 516
Calls
Call 1
Inputs
#<alt (* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))>
#<alt (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2)))>
#<alt (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))>
#<alt (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))>
#<alt (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))>
#<alt (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))>
#<alt (/ 1 (* (/ 2 (PI)) (/ 2 (PI))))>
#<alt (* (/ 2 (PI)) (/ 2 (PI)))>
#<alt (/ (* x (/ (* 1/18 (sqrt t)) z)) y)>
#<alt (* x (/ (* 1/18 (sqrt t)) z))>
#<alt (* 1/18 (sqrt t))>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)>
Outputs
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
#<alt (* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))>
Calls

129 calls:

TimeVariablePointExpression
21.0ms
y
@inf
(/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2)))
7.0ms
x
@inf
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
2.0ms
x
@0
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
1.0ms
t
@-inf
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
1.0ms
x
@-inf
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))

rewrite512.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
5090×*-lowering-*.f32
5090×*-lowering-*.f64
2746×/-lowering-/.f32
2746×/-lowering-/.f64
1998×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045217
1282166
22554166
09869166
Stop Event
1×iter limit
1×node limit
Counts
15 → 789
Calls
Call 1
Inputs
(* (/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/ 1/3 (+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2)))
(+ (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) (* (PI) 1/2))
(asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(+ (/ 1 (* (/ 2 (PI)) (/ 2 (PI)))) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ 1 (* (/ 2 (PI)) (/ 2 (PI))))
(* (/ 2 (PI)) (/ 2 (PI)))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(* x (/ (* 1/18 (sqrt t)) z))
(* 1/18 (sqrt t))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ (/ z (sqrt t)) x)
(* (PI) (* (PI) (PI)))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(neg.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 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))))))))
(neg.f64 (/.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 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))))))))
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(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 x (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(pow.f64 (/.f64 y (/.f64 x (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))) #s(literal 1/18 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))))
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) y) x)
(*.f64 (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 (sqrt.f64 t) z)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(*.f64 (pow.f64 (/.f64 y (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))
(/.f64 z (*.f64 x (sqrt.f64 t)))
(/.f64 (/.f64 z (sqrt.f64 t)) x)
(/.f64 (/.f64 z (sqrt.f64 t)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 (sqrt.f64 t) z))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (*.f64 x (sqrt.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 x (sqrt.f64 t)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) x))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 z (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 t))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (/.f64 z x) (sqrt.f64 t))
(pow.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 t))))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (sqrt.f64 t)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 t))))
(*.f64 (pow.f64 (/.f64 x z) #s(literal -1 binary64)) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.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)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 512 binary64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 9 binary64))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 6 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 6 binary64))) #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 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 6 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 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 512 binary64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 9 binary64)))) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 6 binary64)) (pow.f64 (/.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 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 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 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 z (*.f64 x (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))

simplify342.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
4568×*-lowering-*.f32
4568×*-lowering-*.f64
1170×/-lowering-/.f32
1170×/-lowering-/.f64
1168×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07310600
118410036
25019948
315299948
431899948
561619948
080889948
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* 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)))
(* 1/3 (- (* 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 (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* 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)))
(* 1/3 (- (* 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)))
Outputs
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(* 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)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(* 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)))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 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)))))))
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(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64)) #s(literal -1/3 binary64)))

eval323.0ms (1.4%)

Compiler

Compiled 115481 to 4273 computations (96.3% saved)

prune213.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New185921861
Fresh000
Picked022
Done033
Total185971866
Accuracy
100.0%
Counts
1866 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓99.8%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #s(literal 2 binary64) (PI.f64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
▶98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
✓98.4%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
✓98.3%
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
✓98.3%
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓96.9%
(*.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 281 to 158 computations (43.8% saved)

simplify3.2s (13.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓cost-diff0
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
Rules
2490×*-lowering-*.f32
2490×*-lowering-*.f64
2292×fma-define
1974×fma-lowering-fma.f32
1974×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036373
180364
2192364
3547364
41312364
52635357
64150357
77059357
08415357
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
1
(/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)
(+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))
(asin (/ 1/18 (* y (/ z (* x (sqrt t))))))
(/ 1/18 (* y (/ z (* x (sqrt t)))))
1/18
(* y (/ z (* x (sqrt t))))
y
(/ z (* x (sqrt t)))
z
(* x (sqrt t))
x
(sqrt t)
t
(/ (PI) 2)
(PI)
2
1/3
(- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2))
(* 1/4 (* (PI) (PI)))
1/4
(* (PI) (PI))
(pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)
(asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(* x (/ (* 1/18 (sqrt t)) z))
(/ (* 1/18 (sqrt t)) z)
(* 1/18 (sqrt t))
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)) (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2))
(/ (PI) (/ 4 (PI)))
(PI)
(/ 4 (PI))
4
(pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)
(asin (/ 1/18 (* y (/ z (* x (sqrt t))))))
(/ 1/18 (* y (/ z (* x (sqrt t)))))
1/18
(* y (/ z (* x (sqrt t))))
y
(/ z (* x (sqrt t)))
z
(* x (sqrt t))
x
(sqrt t)
t
2
(/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)
(+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))
(/ (PI) 2)
1/3
Outputs
(* (/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)
(/.f64 (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))
(+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(asin (/ 1/18 (* y (/ z (* x (sqrt t))))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x))))
(/ 1/18 (* y (/ z (* x (sqrt t)))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))
1/18
#s(literal 1/18 binary64)
(* y (/ z (* x (sqrt t))))
(/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t)))
y
(/ z (* x (sqrt t)))
(/.f64 (/.f64 z x) (sqrt.f64 t))
z
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64)))
(* 1/4 (* (PI) (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
1/4
#s(literal 1/4 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64))
(asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x))))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))
(* x (/ (* 1/18 (sqrt t)) z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/ (* 1/18 (sqrt t)) z)
(/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t)))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)) (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64)))
(/ (PI) (/ 4 (PI)))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(PI)
(PI.f64)
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) #s(literal 2 binary64))
(asin (/ 1/18 (* y (/ z (* x (sqrt t))))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x))))
(/ 1/18 (* y (/ z (* x (sqrt t)))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))
1/18
#s(literal 1/18 binary64)
(* y (/ z (* x (sqrt t))))
(/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t)))
y
(/ z (* x (sqrt t)))
(/.f64 (/.f64 z x) (sqrt.f64 t))
z
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
2
#s(literal 2 binary64)
(/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)
(/.f64 (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))
(+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
1/3
#s(literal 1/3 binary64)

localize1.2s (5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓accuracy95.7%
(/.f64 z (*.f64 x (sqrt.f64 t)))
✓accuracy89.9%
(*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))
✓accuracy95.7%
(/.f64 z (*.f64 x (sqrt.f64 t)))
✓accuracy94.8%
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
✓accuracy90.8%
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
✓accuracy89.9%
(*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))
Results
1.1s256×0valid
Compiler

Compiled 390 to 37 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-div: 16.0ms (27.3% of total)
ival-mult: 12.0ms (20.5% of total)
...c/correct-round.rkt:119:19: 12.0ms (20.5% of total)
ival-pow: 8.0ms (13.6% of total)
ival-asin: 4.0ms (6.8% of total)
ival-sub: 2.0ms (3.4% of total)
ival-sqrt: 2.0ms (3.4% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series25.0ms (0.1%)

Counts
13 → 504
Calls
Call 1
Inputs
#<alt (* (/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))>
#<alt (/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))>
#<alt (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)>
#<alt (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))>
#<alt (/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)) (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))>
#<alt (- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2))>
#<alt (/ (PI) (/ 4 (PI)))>
#<alt (PI)>
#<alt (* y (/ z (* x (sqrt t))))>
#<alt (/ (* x (/ (* 1/18 (sqrt t)) z)) y)>
#<alt (* x (/ (* 1/18 (sqrt t)) z))>
#<alt (/ z (* x (sqrt t)))>
#<alt (/ 1/18 (* y (/ z (* x (sqrt t)))))>
Outputs
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
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#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (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 z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
Calls

126 calls:

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

rewrite400.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
3596×*-lowering-*.f32
3596×*-lowering-*.f64
2316×/-lowering-/.f32
2316×/-lowering-/.f64
2248×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036190
1220177
21859175
08593175
Stop Event
1×iter limit
1×node limit
Counts
13 → 533
Calls
Call 1
Inputs
(* (/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)) (- (* 1/4 (* (PI) (PI))) (pow (asin (/ (* x (/ (* 1/18 (sqrt t)) z)) y)) 2)))
(/ 1 (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
(/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3)
(+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2))
(/ (- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2)) (/ (+ (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) (/ (PI) 2)) 1/3))
(- (/ (PI) (/ 4 (PI))) (pow (asin (/ 1/18 (* y (/ z (* x (sqrt t)))))) 2))
(/ (PI) (/ 4 (PI)))
(PI)
(* y (/ z (* x (sqrt t))))
(/ (* x (/ (* 1/18 (sqrt t)) z)) y)
(* x (/ (* 1/18 (sqrt t)) z))
(/ z (* x (sqrt t)))
(/ 1/18 (* y (/ z (* x (sqrt t)))))
Outputs
(+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64)))))
(+.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (PI.f64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
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(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
(/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z))
(/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 y (/.f64 z x)) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 (/.f64 z x) y) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 y z) x) (sqrt.f64 t))
(/.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) x)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)) #s(literal -1 binary64))
(*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t))))
(*.f64 z (*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) y))
(*.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) y)
(*.f64 (*.f64 y z) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 y x) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) z)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(/.f64 (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(/.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) y)) z)
(pow.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 y z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)) x)
(*.f64 (pow.f64 (/.f64 y (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))))
(/.f64 x (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 z (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 #s(literal 1 binary64) z) x))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal -1 binary64)))
(neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(/.f64 z (*.f64 x (sqrt.f64 t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))))
(/.f64 (/.f64 z x) (sqrt.f64 t))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (neg.f64 (/.f64 z x)) (neg.f64 (sqrt.f64 t)))
(/.f64 (/.f64 z (sqrt.f64 t)) x)
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 x (sqrt.f64 t)))
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t)))))
(*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) z)
(*.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 z x) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 z x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64))))
(/.f64 #s(literal -1/18 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z))))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 (/.f64 z (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) y)
(/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(pow.f64 (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)) #s(literal 1/18 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (/.f64 #s(literal 1/18 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 x (sqrt.f64 t)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (*.f64 x (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64)) (/.f64 (*.f64 x (sqrt.f64 t)) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x)) (sqrt.f64 t))

simplify477.0ms (2%)

Algorithm
1×egg-herbie
Rules
3692×*-lowering-*.f32
3692×*-lowering-*.f64
1588×/-lowering-/.f32
1588×/-lowering-/.f64
1494×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0578764
11408140
23658076
310658076
427708076
547238076
665288076
080338076
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 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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(* (sqrt (/ 1 t)) (/ (* y z) x))
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Outputs
(* 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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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)

eval343.0ms (1.5%)

Compiler

Compiled 85747 to 3562 computations (95.8% saved)

prune259.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New183921841
Fresh000
Picked112
Done235
Total184261848
Accuracy
100.0%
Counts
1848 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.9%
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
100.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (/.f64 z x) y) (sqrt.f64 t)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓98.4%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
✓98.3%
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
✓96.9%
(*.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 617 to 235 computations (61.9% saved)

regimes74.0ms (0.3%)

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

13 calls:

20.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
12.0ms
x
4.0ms
(sqrt.f64 t)
4.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
(*.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)

regimes51.0ms (0.2%)

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

13 calls:

19.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
3.0ms
z
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1t
98.4%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))))
98.4%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)))
98.4%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))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes66.0ms (0.3%)

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

13 calls:

28.0ms
x
13.0ms
(/.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)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1t
98.4%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))))
98.4%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)))
98.4%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))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes31.0ms (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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) 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 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
Calls

13 calls:

9.0ms
t
2.0ms
x
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1t
98.3%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))))
98.3%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)))
98.3%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))
98.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.3%1(*.f64 y #s(literal 27 binary64))
98.3%1(*.f64 z #s(literal 2 binary64))
98.3%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
(sqrt.f64 t)
1.0ms
y
1.0ms
t
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
96.9%1x
96.9%1y
96.9%1z
96.9%1t
96.9%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
10×+-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055141
176141
280141
382141
483141
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (/.f64 z x) y) (sqrt.f64 t)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) 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 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (/.f64 z x) y) (sqrt.f64 t)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z (*.f64 x (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 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 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) 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))))

soundness5.8s (24.9%)

Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
5090×*-lowering-*.f32
5090×*-lowering-*.f64
3940×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07612724
118011980
248511868
3146511868
4303111244
5564511196
0818011196
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
026112
191102
259094
3534794
0896194
045217
1282166
22554166
09869166
036190
1220177
21859175
08593175
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
Compiler

Compiled 257 to 150 computations (41.6% saved)

preprocess66.0ms (0.3%)

Compiler

Compiled 808 to 478 computations (40.8% saved)

end0.0ms (0%)

Profiling

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