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

Time bar (total: 29.0s)

analyze567.0ms (2%)

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: 249.0ms
ival-mult: 128.0ms (51.4% of total)
ival-div: 68.0ms (27.3% of total)
ival-sqrt: 23.0ms (9.2% of total)
ival-acos: 21.0ms (8.4% of total)
const: 8.0ms (3.2% of total)
backward-pass: 2.0ms (0.8% of total)

sample4.8s (16.5%)

Results
2.5s15680×0invalid
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-div: 1.1s (44.5% of total)
ival-mult: 836.0ms (34.1% of total)
ival-sqrt: 241.0ms (9.8% of total)
ival-acos: 208.0ms (8.5% of total)
const: 67.0ms (2.7% of total)
backward-pass: 11.0ms (0.4% of total)
Bogosity

preprocess221.0ms (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)

explain171.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-2(4.539509779763804e-188 -1.3616978288854366e+126 6.1101291910377275e-186 1.1011360168128554e+199)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
110-2(7.234580209020067e-231 -3.2284907109271608e-152 2.715135943120825e+237 4.328309577092836e+282)(*.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
110.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 16.0ms (41% of total)
ival-div: 13.0ms (33.3% of total)
ival-acos: 5.0ms (12.8% of total)
ival-sqrt: 4.0ms (10.2% of total)
const: 2.0ms (5.1% 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))))
▶96.1%
(*.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)

simplify136.0ms (0.5%)

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

localize168.0ms (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))))
✓accuracy95.9%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓accuracy92.4%
(/.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))))
✓accuracy94.4%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓accuracy91.8%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
125.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
...c/correct-round.rkt:119:19: 39.0ms (54% of total)
ival-mult: 15.0ms (20.8% of total)
ival-div: 10.0ms (13.8% of total)
ival-acos: 5.0ms (6.9% of total)
ival-sqrt: 2.0ms (2.8% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.1%)

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

108 calls:

TimeVariablePointExpression
5.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
5.0ms
z
@0
(/ (* x (sqrt t)) z)
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
y
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite375.0ms (1.3%)

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))

simplify313.0ms (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)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.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)

eval180.0ms (0.6%)

Compiler

Compiled 21821 to 3750 computations (82.8% saved)

prune175.0ms (0.6%)

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
▶98.0%
(/.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))))
▶98.0%
(*.f64 #s(literal 1/3 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))))))
▶98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.1%
(*.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 118 to 74 computations (37.3% saved)

simplify202.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.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))))
✓cost-diff0
(+.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 (+.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))))
✓cost-diff128
(/.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)))))
✓cost-diff128
(*.f64 #s(literal 1/3 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))))))
✓cost-diff0
(sqrt.f64 t)
✓cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Rules
2242×*-lowering-*.f32
2242×*-lowering-*.f64
1840×sum3-define
1836×fma-lowering-fma.f32
1836×fma-lowering-fma.f64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
033427
166418
2146417
3389414
4877414
51518410
62363404
73585404
86261404
08025404
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
1/3
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
t
(* (/ x z) (/ 1/18 y))
(/ x z)
x
z
(/ 1/18 y)
1/18
y
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))))
1/3
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))))
1
(/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
(PI)
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
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 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
2
1/3
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
Outputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))))
1/3
#s(literal 1/3 binary64)
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))
(sqrt t)
(sqrt.f64 t)
t
(* (/ x z) (/ 1/18 y))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x))
(/ x z)
(/.f64 x z)
x
z
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64)))))
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))))
1
#s(literal 1 binary64)
(/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 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 z (/.f64 y (sqrt.f64 t))) x))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))
(/ 1/18 (/ (/ z (sqrt t)) x))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t))))
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
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64))
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64)))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -4 binary64))) #s(literal -1/3 binary64))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))) #s(literal 2 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z (/.f64 y (sqrt.f64 t))) x))
(/ 1/18 (/ (/ z (sqrt t)) x))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t))))
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
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 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 z (/.f64 y (sqrt.f64 t))) x))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize284.0ms (1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(*.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))
✓accuracy93.7%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.7%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.9%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(*.f64 #s(literal 1/3 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))))))
✓accuracy93.7%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.7%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy99.4%
(/.f64 #s(literal 1/18 binary64) y)
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓accuracy95.9%
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓accuracy92.3%
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
Results
179.0ms256×0valid
Compiler

Compiled 446 to 34 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
...c/correct-round.rkt:119:19: 33.0ms (39.9% of total)
ival-div: 26.0ms (31.4% of total)
ival-mult: 10.0ms (12.1% of total)
ival-acos: 3.0ms (3.6% of total)
ival-pow: 3.0ms (3.6% of total)
ival-asin: 2.0ms (2.4% of total)
ival-sqrt: 2.0ms (2.4% of total)
ival-pi: 1.0ms (1.2% of total)
ival-add: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series102.0ms (0.4%)

Counts
17 → 660
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))>
#<alt (acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))>
#<alt (* (sqrt t) (* (/ x z) (/ 1/18 y)))>
#<alt (sqrt t)>
#<alt (* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))))>
#<alt (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))))>
#<alt (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))>
#<alt (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))>
#<alt (/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (/ x z) (/ 1/18 y))>
#<alt (/ 1/18 y)>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (/ 1/18 (/ (/ z (sqrt t)) x))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (sqrt t)>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 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 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* 1/18 (* (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)))>
Calls

165 calls:

TimeVariablePointExpression
13.0ms
t
@-inf
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
10.0ms
t
@0
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
8.0ms
x
@-inf
(/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))
3.0ms
z
@0
(/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))
2.0ms
z
@0
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))))

rewrite494.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
4516×/-lowering-/.f32
4516×/-lowering-/.f64
4344×*-lowering-*.f32
4344×*-lowering-*.f64
1280×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033198
1198171
21533171
08792171
Stop Event
1×iter limit
1×node limit
Counts
17 → 1124
Calls
Call 1
Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))))
(/ 1 (/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))))
(/ (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(* (/ x z) (/ 1/18 y))
(/ 1/18 y)
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ (/ z (sqrt t)) x)
(/ 1/18 (/ (/ z (sqrt t)) x))
Outputs
(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 x (/.f64 z (sqrt.f64 t))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
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(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sqrt.f64 t) x))) (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (/.f64 z (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 z (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) (neg.f64 (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (*.f64 (sqrt.f64 t) x)))
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(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 z x) (sqrt.f64 t))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (sqrt.f64 t) x))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))))
(/.f64 (neg.f64 (/.f64 z x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
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(pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) x)))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
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(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) x)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) 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 (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 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 t #s(literal -1/2 binary64))) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z (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 (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) #s(literal -1 binary64)))
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(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(*.f64 (/.f64 (sqrt.f64 t) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t))) x)
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(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) x))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x (pow.f64 t #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal -1/2 binary64))) (/.f64 x z))
(*.f64 (/.f64 x (pow.f64 t #s(literal -1/2 binary64))) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x)))

simplify385.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
3578×*-lowering-*.f32
3578×*-lowering-*.f64
1996×/-lowering-/.f32
1996×/-lowering-/.f64
1168×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06212488
113911464
236111412
3105911412
4243311412
5530211412
6766411412
0803911412
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt (/ 1 t)) (/ z x))
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(* (sqrt (/ 1 t)) (/ z x))
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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))
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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))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
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(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
(* 1/18 (* (sqrt t) (/ x z)))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) z))) y)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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eval796.0ms (2.7%)

Compiler

Compiled 132761 to 6541 computations (95.1% saved)

prune512.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New313253137
Fresh000
Picked213
Done011
Total313473141
Accuracy
100.0%
Counts
3141 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
▶99.5%
(/.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)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
▶98.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
▶97.2%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶98.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.1%
(*.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 376 to 252 computations (33% saved)

simplify170.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓cost-diff6528
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
✓cost-diff6528
(/.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
✓cost-diff0
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
✓cost-diff0
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
✓cost-diff64
(pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff12928
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
✓cost-diff256
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
✓cost-diff0
(-.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)))
✓cost-diff0
(*.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))
✓cost-diff19200
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
✓cost-diff19200
(/.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)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
Rules
3218×*-lowering-*.f32
3218×*-lowering-*.f64
1392×fmsub-define
1372×fnmadd-define
1362×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051753
1107723
2229717
3467717
4994717
51712717
62958717
75000717
08057717
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 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
2
1/3
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(sqrt (PI))
(/ (sqrt (PI)) 2)
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/ y (/ x (/ z (sqrt t))))
(/ x (/ z (sqrt t)))
(* 1/3 (/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))))
1/3
(/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
1
(/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
(* 1/3 (pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2))
1/3
(pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2)
(pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2)
(acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
1/2
2
(* (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
1/3
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(/ (PI) 2)
(PI)
2
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
1/3
(* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)
(- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
0
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
2
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
(/ (/ z (sqrt t)) x)
Outputs
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t)))
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
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(/ (sqrt (PI)) 2)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
(* 1/3 (/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))))
1/3
#s(literal 1/3 binary64)
(/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
1
#s(literal 1 binary64)
(/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))))
(acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)
y
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
(* 1/3 (pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))))
1/3
#s(literal 1/3 binary64)
(pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2)
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2)
(sqrt.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))))
(acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)
y
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))))
(/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64))))
1/3
#s(literal 1/3 binary64)
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)
y
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))))
(+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
1/3
#s(literal 1/3 binary64)
(* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)
(*.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64))
(- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64)))
0
#s(literal 0 binary64)
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) #s(literal 2 binary64))
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)
y
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x)))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) x))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t)))
(/ (/ z (sqrt t)) x)
(/.f64 (/.f64 z (sqrt.f64 t)) x)

localize466.0ms (1.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy93.7%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy91.7%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.9%
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
✓accuracy98.5%
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy98.5%
(pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy98.9%
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy93.7%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy91.7%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
Results
320.0ms256×0valid
Compiler

Compiled 785 to 50 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-div: 29.0ms (29.9% of total)
ival-pow: 16.0ms (16.5% of total)
ival-mult: 12.0ms (12.4% of total)
ival-asin: 8.0ms (8.2% of total)
...c/correct-round.rkt:119:19: 8.0ms (8.2% of total)
compiled-spec: 6.0ms (6.2% of total)
ival-add: 5.0ms (5.2% of total)
ival-sub: 4.0ms (4.1% of total)
ival-sqrt: 4.0ms (4.1% of total)
ival-acos: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.2%)

Counts
24 → 1032
Calls
Call 1
Inputs
#<alt (/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))>
#<alt (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))>
#<alt (* 1/3 (/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))))>
#<alt (/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))>
#<alt (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))>
#<alt (acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))>
#<alt (* 1/3 (pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2))>
#<alt (pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2)>
#<alt (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2)>
#<alt (* (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))>
#<alt (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))>
#<alt (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))>
#<alt (/ (PI) 2)>
#<alt (/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))>
#<alt (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3))>
#<alt (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ y (/ x (/ z (sqrt t))))>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (/ x (/ z (sqrt t)))>
#<alt (/ 1/18 (/ y (/ x (/ z (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 (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 (/ (- (* 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 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))>
#<alt (+ (asin (* 1/18 (* (sqrt t) (/ x (* 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 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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

258 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
1.0ms
y
@0
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
1.0ms
t
@-inf
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
1.0ms
x
@inf
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
1.0ms
t
@inf
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))

rewrite597.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
5466×*-lowering-*.f32
5466×*-lowering-*.f64
3022×/-lowering-/.f32
3022×/-lowering-/.f64
3016×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051405
1341280
22183280
010869280
Stop Event
1×iter limit
1×node limit
Counts
24 → 1562
Calls
Call 1
Inputs
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(+ (* (sqrt (PI)) (/ (sqrt (PI)) 2)) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(* 1/3 (/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))))
(/ 1 (/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(/ 1 (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(acos (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(* 1/3 (pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2))
(pow (pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2) 2)
(pow (acos (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 1/2)
(* (/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(/ 1/3 (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(/ (PI) 2)
(/ (+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(+ (* (/ (* (PI) (PI)) 4) 1/3) (* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3))
(* (- 0 (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)) 1/3)
(/ (* (PI) (PI)) 4)
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ y (/ x (/ z (sqrt t))))
(/ (/ z (sqrt t)) x)
(/ x (/ z (sqrt t)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.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 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) (/.f64 (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))))
(/.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/1728 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 6 binary64))) #s(literal 1/27 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/1728 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 6 binary64))) #s(literal 1/27 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64)) (-.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/144 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 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 64 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 6 binary64)))) (*.f64 (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 4 binary64)))) (*.f64 (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))))
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(pow.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64))) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)) (sqrt.f64 t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (pow.f64 (/.f64 y #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 t) z))))

simplify442.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
3694×*-lowering-*.f32
3694×*-lowering-*.f64
1986×/-lowering-/.f32
1986×/-lowering-/.f64
1200×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07217188
115415956
238815876
3115915876
4244415876
5534315876
0828115876
Stop Event
1×iter limit
1×node limit
Counts
1032 → 1032
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)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y 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))
(* (sqrt (/ 1 t)) (/ z x))
(* (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))
(* (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)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 #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 (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))))
(* 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 (PI.f64) (*.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 (PI.f64) (*.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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(* (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)
(* (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)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)

eval5.0s (17.1%)

Compiler

Compiled 176917 to 7603 computations (95.7% saved)

prune352.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New416944173
Fresh000
Picked325
Done022
Total417284180
Accuracy
100.0%
Counts
4180 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.1%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
✓98.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
▶99.6%
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
▶97.5%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
▶96.1%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓98.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.1%
(*.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 206 to 142 computations (31.1% saved)

simplify210.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
✓cost-diff12928
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
✓cost-diff12928
(+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
✓cost-diff12928
(/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
✓cost-diff12928
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
✓cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
✓cost-diff0
(pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
✓cost-diff0
(pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
✓cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
Rules
3346×*-lowering-*.f32
3346×*-lowering-*.f64
1860×sum5-define
1396×fnmadd-define
1210×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043456
182433
2162433
3355432
4754432
51336432
62273432
74027432
87736432
08459432
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/3 (/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)))
1/3
(/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2))
1
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2)
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/ 1/18 y)
1/18
y
(/ z (* (sqrt t) x))
z
(* (sqrt t) x)
(sqrt t)
t
x
2
-1/2
(* 1/3 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4))
1/3
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4)
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/ 1/18 y)
1/18
y
(/ z (* (sqrt t) x))
z
(* (sqrt t) x)
(sqrt t)
t
x
1/4
4
(* (/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
1/3
(+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(* (/ (sqrt (PI)) 2) (sqrt (PI)))
(/ (sqrt (PI)) 2)
(sqrt (PI))
(PI)
2
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(/ 1 (/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3))
1
(/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3)
(/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))))
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/ 1/18 y)
1/18
y
(/ z (* (sqrt t) x))
z
(* (sqrt t) x)
(sqrt t)
t
x
1/3
Outputs
(* 1/3 (/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)))
(/.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
1/3
#s(literal 1/3 binary64)
(/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2)
(pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ z (* (sqrt t) x))
(/.f64 z (*.f64 (sqrt.f64 t) x))
z
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(sqrt t)
(sqrt.f64 t)
t
x
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
(* 1/3 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
1/3
#s(literal 1/3 binary64)
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4)
(pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
(pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64))
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ z (* (sqrt t) x))
(/.f64 z (*.f64 (sqrt.f64 t) x))
z
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(sqrt t)
(sqrt.f64 t)
t
x
1/4
#s(literal 1/4 binary64)
4
#s(literal 4 binary64)
(* (/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))))
(/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))
1/3
#s(literal 1/3 binary64)
(+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))
(* (/ (sqrt (PI)) 2) (sqrt (PI)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/ (sqrt (PI)) 2)
(/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 (/.f64 y x) (/.f64 (sqrt.f64 t) z))
y
(/ x (/ z (sqrt t)))
(/.f64 (sqrt.f64 t) (/.f64 z x))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (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) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))
(/ 1 (/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3))
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3)
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))
(/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ z (* (sqrt t) x))
(/.f64 z (*.f64 (sqrt.f64 t) x))
z
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(sqrt t)
(sqrt.f64 t)
t
x
1/3
#s(literal 1/3 binary64)

localize381.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
✓accuracy98.5%
(/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64))
✓accuracy94.7%
(/.f64 z (*.f64 (sqrt.f64 t) x))
✓accuracy91.0%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
✓accuracy98.4%
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy93.7%
(/.f64 x (/.f64 z (sqrt.f64 t)))
✓accuracy91.7%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
✓accuracy97.6%
(pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
✓accuracy94.7%
(/.f64 z (*.f64 (sqrt.f64 t) x))
✓accuracy91.0%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
✓accuracy99.4%
(/.f64 #s(literal 1/18 binary64) y)
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
✓accuracy94.7%
(/.f64 z (*.f64 (sqrt.f64 t) x))
✓accuracy91.0%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))
Results
256.0ms256×0valid
Compiler

Compiled 475 to 44 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 45.0ms (44.1% of total)
ival-pow: 18.0ms (17.6% of total)
ival-mult: 17.0ms (16.7% of total)
...c/correct-round.rkt:119:19: 8.0ms (7.8% of total)
ival-sqrt: 4.0ms (3.9% of total)
ival-acos: 3.0ms (2.9% of total)
ival-asin: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series462.0ms (1.6%)

Counts
21 → 852
Calls
Call 1
Inputs
#<alt (* 1/3 (/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)))>
#<alt (/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2))>
#<alt (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)>
#<alt (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2)>
#<alt (* 1/3 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4))>
#<alt (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4)>
#<alt (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)>
#<alt (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))>
#<alt (* (/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))>
#<alt (/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))>
#<alt (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))>
#<alt (* (/ (sqrt (PI)) 2) (sqrt (PI)))>
#<alt (/ 1 (/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3))>
#<alt (/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3)>
#<alt (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))))>
#<alt (/ (/ 1/18 y) (/ z (* (sqrt t) x)))>
#<alt (/ z (* (sqrt t) x))>
#<alt (/ 1/18 y)>
#<alt (/ y (/ x (/ z (sqrt t))))>
#<alt (/ x (/ z (sqrt t)))>
#<alt (sqrt (PI))>
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 (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* (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 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<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 (* (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 (* (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 (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
Calls

213 calls:

TimeVariablePointExpression
112.0ms
t
@-inf
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
55.0ms
x
@-inf
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
49.0ms
y
@inf
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
29.0ms
y
@0
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
24.0ms
y
@-inf
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)

rewrite2.4s (8.3%)

Algorithm
1×batch-egg-rewrite
Rules
3854×*-lowering-*.f32
3854×*-lowering-*.f64
3576×/-lowering-/.f32
3576×/-lowering-/.f64
1232×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043229
1260217
21672215
08480215
Stop Event
1×iter limit
1×node limit
Counts
21 → 1257
Calls
Call 1
Inputs
(* 1/3 (/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)))
(/ 1 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2))
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2) -1/2)
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 2)
(* 1/3 (pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4))
(pow (pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4) 4)
(pow (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))) 1/4)
(acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))
(* (/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(/ 1/3 (+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))))
(+ (* (/ (sqrt (PI)) 2) (sqrt (PI))) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(* (/ (sqrt (PI)) 2) (sqrt (PI)))
(/ 1 (/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3))
(/ (/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x))))) 1/3)
(/ 1 (acos (/ (/ 1/18 y) (/ z (* (sqrt t) x)))))
(/ (/ 1/18 y) (/ z (* (sqrt t) x)))
(/ z (* (sqrt t) x))
(/ 1/18 y)
(/ y (/ x (/ z (sqrt t))))
(/ x (/ z (sqrt t)))
(sqrt (PI))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
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(*.f64 (/.f64 z x) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (/.f64 y x) z) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (/.f64 x z)) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 (/.f64 (sqrt.f64 t) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y (sqrt.f64 t)))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64)) (/.f64 y (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (neg.f64 (/.f64 (sqrt.f64 t) z))))
(*.f64 (/.f64 y (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 x z)) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 t))) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 z x))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (/.f64 y (sqrt.f64 t)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 y (/.f64 x #s(literal 1 binary64))) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) x) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 (/.f64 y x) (pow.f64 t #s(literal 1/4 binary64))) (/.f64 z (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 y x) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) (/.f64 y (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z))) (/.f64 y (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (sqrt.f64 t) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (sqrt.f64 t) x) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (sqrt.f64 t))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)))
(/.f64 x (/.f64 z (sqrt.f64 t)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 x z) (pow.f64 t #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 z (sqrt.f64 t)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 (pow.f64 t #s(literal -1/2 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z (sqrt.f64 t)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 z (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(*.f64 x (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t))))
(*.f64 (/.f64 (sqrt.f64 t) z) x)
(*.f64 (/.f64 (sqrt.f64 t) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (sqrt.f64 t))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 t) x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))))
(*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (neg.f64 (pow.f64 t #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 t #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) z))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))

simplify2.6s (9.1%)

Algorithm
1×egg-herbie
Rules
3670×*-lowering-*.f32
3670×*-lowering-*.f64
1596×/-lowering-/.f32
1596×/-lowering-/.f64
1592×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06911460
115010932
238710872
3115110872
4241210872
5520610872
0844710872
Stop Event
1×iter limit
1×node limit
Counts
852 → 852
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(/ 1/18 y)
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(/ 1/18 y)
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(/ 1/18 y)
(/ 1/18 y)
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(/ 1/18 y)
(/ 1/18 y)
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
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(* (sqrt (/ 1 t)) (/ (* y z) x))
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(* (sqrt (/ 1 t)) (/ (* y z) x))
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(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
(* (sqrt t) (/ x z))
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Outputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(*.f64 y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x)))
(* (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)
(* (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)

eval669.0ms (2.3%)

Compiler

Compiled 102348 to 6476 computations (93.7% saved)

prune311.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New317333176
Fresh000
Picked404
Done224
Total317953184
Accuracy
100.0%
Counts
3184 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64))
96.1%
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
98.7%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
✓98.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Compiler

Compiled 510 to 181 computations (64.5% saved)

regimes73.0ms (0.3%)

Counts
17 → 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.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) (/.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 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.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)) (fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
Calls

13 calls:

7.0ms
y
6.0ms
(*.f64 z #s(literal 2 binary64))
6.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
5.0ms
(sqrt.f64 t)
5.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%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))))
99.6%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)))
99.6%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))
99.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.6%1(*.f64 y #s(literal 27 binary64))
99.6%1(*.f64 z #s(literal 2 binary64))
99.6%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes64.0ms (0.2%)

Counts
15 → 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.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) (/.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 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
Outputs
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
Calls

13 calls:

7.0ms
y
5.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(sqrt.f64 t)
5.0ms
t
Results
AccuracySegmentsBranch
98.7%1x
98.7%1y
98.7%1z
98.7%1t
98.7%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))))
98.7%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)))
98.7%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))
98.7%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.7%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.7%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.7%1(*.f64 y #s(literal 27 binary64))
98.7%1(*.f64 z #s(literal 2 binary64))
98.7%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes43.0ms (0.1%)

Counts
9 → 2
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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Calls

13 calls:

4.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
t
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
99.7%2t
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
99.7%2(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes44.0ms (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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Calls

13 calls:

14.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
z
2.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1t
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes17.0ms (0.1%)

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:

11.0ms
t
1.0ms
(sqrt.f64 t)
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
96.1%1x
96.1%1y
96.1%1z
96.1%1t
96.1%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

bsearch14.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
6.975714388772131e+93
1.0097992940040326e+94
Results
7.0ms64×0valid
2.0ms21×0invalid
Compiler

Compiled 174 to 136 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.9% of total)
ival-div: 2.0ms (34.6% of total)
ival-acos: 1.0ms (17.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056117
168117
272117
374117
475117
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(if (<=.f64 (sqrt.f64 t) #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Outputs
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) (/.f64 z (sqrt.f64 t)))) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(if (<=.f64 (sqrt.f64 t) #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(if (<=.f64 (sqrt.f64 t) #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

soundness4.6s (16%)

Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
5466×*-lowering-*.f32
5466×*-lowering-*.f64
4516×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033198
1198171
21533171
08792171
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
026112
191102
259094
3534794
0896194
043229
1260217
21672215
08480215
051405
1341280
22183280
010869280
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 308 to 198 computations (35.7% saved)

preprocess57.0ms (0.2%)

Remove

(sort y z)

Compiler

Compiled 626 to 370 computations (40.9% saved)

end0.0ms (0%)

Profiling

Loading profile data...