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

Time bar (total: 30.2s)

analyze451.0ms (1.5%)

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: 223.0ms
ival-mult: 100.0ms (44.8% of total)
ival-div: 69.0ms (30.9% of total)
ival-sqrt: 23.0ms (10.3% of total)
ival-acos: 23.0ms (10.3% of total)
const: 8.0ms (3.6% of total)
backward-pass: 1.0ms (0.4% of total)

sample4.4s (14.7%)

Results
2.1s16055×0invalid
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-mult: 935.0ms (40.4% of total)
ival-div: 857.0ms (37% of total)
ival-sqrt: 251.0ms (10.8% of total)
ival-acos: 192.0ms (8.3% of total)
const: 71.0ms (3.1% of total)
backward-pass: 10.0ms (0.4% of total)
Bogosity

preprocess178.0ms (0.6%)

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)

explain213.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-5(-4.378601867905607e-245 -3.65026025319101e+77 -2.7511815651089546e-303 3.798230891129787e-261)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
171(3.4541427356685556e-214 -2.4586863722887115e-104 1.8980503325105151e+242 2.5455382134870735e+62)1(-5.357162141587545e-220 -1.8434698608267175e+177 -4.6672280234155e-82 2.019288708672598e+126)(*.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))
01(-2.382784118099978e-175 -7.536270727169935e+147 -3.101314441356233e-153 3.038029162050276e+128)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
124.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.1% of total)
ival-div: 12.0ms (30.4% of total)
ival-acos: 5.0ms (12.7% of total)
ival-sqrt: 4.0ms (10.1% 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)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(*.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))))
▶96.2%
(*.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)

simplify99.0ms (0.3%)

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

localize169.0ms (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))))
✓accuracy93.7%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓accuracy90.5%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓accuracy99.5%
(*.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))))
✓accuracy93.9%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓accuracy90.3%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
116.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 13.0ms (34.9% of total)
ival-div: 9.0ms (24.2% of total)
...c/correct-round.rkt:119:19: 7.0ms (18.8% of total)
ival-acos: 5.0ms (13.4% of total)
ival-sqrt: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (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)))))>
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#<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))>
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#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) 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 (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
Calls

108 calls:

TimeVariablePointExpression
4.0ms
z
@0
(/ (* x (sqrt t)) z)
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
y
@inf
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite418.0ms (1.4%)

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
3534094
0891194
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 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(*.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y)))
(neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) z) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 #s(literal -1/18 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t))))))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 z (*.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 t))) y)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 x (sqrt.f64 t)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
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(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
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(*.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))

simplify235.0ms (0.8%)

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

eval250.0ms (0.8%)

Compiler

Compiled 21836 to 3747 computations (82.8% saved)

prune141.0ms (0.5%)

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
▶97.2%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 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 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))))
▶97.2%
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
▶97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.2%
(*.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 120 to 75 computations (37.5% saved)

simplify270.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 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 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))))
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))
✓cost-diff256
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 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
2184×sum3-define
1966×*-lowering-*.f32
1966×*-lowering-*.f64
1718×fma-define
1628×fnmadd-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
041405
189400
2208398
3439396
4925396
51862396
63558396
75744392
08082392
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
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (/ (PI) 2) 1/3)
(/ (PI) 2)
(PI)
2
1/3
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
0
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
3
1/3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(/ (PI) 2)
2
Outputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 z x))))
1/3
#s(literal 1/3 binary64)
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 z x)))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 z x))
(sqrt t)
(sqrt.f64 t)
t
(* (/ x z) (/ 1/18 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/ 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
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal -1/3 binary64)))
(* (/ (PI) 2) 1/3)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal -1/3 binary64))
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))))
0
#s(literal 0 binary64)
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)
(+.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal 3 binary64)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) #s(literal 3 binary64))
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
3
#s(literal 3 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)))))
(+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize206.0ms (0.7%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy93.5%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy90.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy99.6%
(/.f64 #s(literal 18 binary64) (/.f64 x y))
✓accuracy98.4%
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))
✓accuracy93.5%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy90.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy99.5%
(/.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)))))
✓accuracy93.7%
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓accuracy90.5%
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
Results
123.0ms256×0valid
Compiler

Compiled 425 to 42 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 18.0ms (26.2% of total)
ival-div: 17.0ms (24.7% of total)
...c/correct-round.rkt:119:19: 10.0ms (14.6% of total)
ival-pow: 7.0ms (10.2% of total)
ival-add: 4.0ms (5.8% of total)
ival-acos: 3.0ms (4.4% of total)
ival-sub: 3.0ms (4.4% of total)
ival-asin: 2.0ms (2.9% of total)
ival-sqrt: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series85.0ms (0.3%)

Counts
18 → 552
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 (+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))>
#<alt (* (/ (PI) 2) 1/3)>
#<alt (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)>
#<alt (/ (PI) 2)>
#<alt (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))>
#<alt (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (/ x z) (/ 1/18 y))>
#<alt (/ 1/18 y)>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (/ 18 (/ x y))>
#<alt (* (PI) (* (PI) (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 (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 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (* 1/18 (/ 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 (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
Calls

138 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
12.0ms
z
@-inf
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))
11.0ms
t
@inf
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)
3.0ms
t
@0
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))
3.0ms
t
@-inf
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))

rewrite480.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
3572×/-lowering-/.f32
3572×/-lowering-/.f64
3496×*-lowering-*.f32
3496×*-lowering-*.f64
1652×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041164
1246160
22144160
08808160
Stop Event
1×iter limit
1×node limit
Counts
18 → 902
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)
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (/ (PI) 2) 1/3)
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(/ (PI) 2)
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) (+ (/ (PI) 2) (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (/ x z) (/ 1/18 y))
(/ 1/18 y)
(* z (/ 18 (/ x y)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/ 18 (/ x y))
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(+.f64 (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (-.f64 (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))))))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))) (-.f64 #s(literal 0 binary64) y))
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(pow.f64 (/.f64 (/.f64 (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))) (sqrt.f64 t)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) z)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) z) (sqrt.f64 t))
(*.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) z) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (/.f64 #s(literal 1/18 binary64) y))
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(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x)) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) z))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1 binary64)) (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -18 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z y)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 18 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) z)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))
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(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sqrt.f64 t) (neg.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
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(*.f64 (/.f64 (sqrt.f64 t) (/.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 x z) #s(literal 18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 18 binary64) x)))
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(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 #s(literal 18 binary64) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) z))
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(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) x))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 18 binary64)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 18 binary64) y) x)
(/.f64 (neg.f64 (*.f64 #s(literal 18 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 18 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/18 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 18 binary64) x))
(*.f64 #s(literal 18 binary64) (/.f64 y x))
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(*.f64 #s(literal -18 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
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(*.f64 (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))

simplify404.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
4302×*-lowering-*.f32
4302×*-lowering-*.f64
1040×associate-*r/
916×fma-lowering-fma.f32
916×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0698736
11678544
24538508
313648508
429908508
563308508
081868508
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/18 (/ 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)
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
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(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
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(* 18 (/ (* y z) x))
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(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 18 (/ y x))
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(* 18 (/ y x))
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Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) y) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)

eval661.0ms (2.2%)

Compiler

Compiled 105197 to 5413 computations (94.9% saved)

prune258.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New238922391
Fresh000
Picked213
Done011
Total239142395
Accuracy
100.0%
Counts
2395 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.7%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
▶97.2%
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.2%
(*.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 100 to 71 computations (29% saved)

simplify139.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
✓cost-diff128
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
Rules
2292×fnmadd-define
1980×*-lowering-*.f32
1980×*-lowering-*.f64
1616×fma-define
1310×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036267
172267
2167265
3378265
4693265
51168265
61921265
73109265
85368265
08024265
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (PI) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (PI) 1/6)
(PI)
1/6
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
0
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
1/3
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(PI)
1/36
(* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)
(pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2)
(asin (/ (sqrt t) (/ z (/ x (/ y 1/18)))))
(/ (sqrt t) (/ z (/ x (/ y 1/18))))
(sqrt t)
t
(/ z (/ x (/ y 1/18)))
z
(/ x (/ y 1/18))
x
(/ y 1/18)
y
1/18
2
1/9
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3))
(* (PI) 1/6)
1/6
(* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)
1/3
Outputs
(+ (* (PI) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal -1/3 binary64)))
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal -1/3 binary64))
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))
0
#s(literal 0 binary64)
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))))))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))
(* (* (PI) (PI)) 1/36)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/36
#s(literal 1/36 binary64)
(* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)
(*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2)
(pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))) #s(literal 2 binary64))
(asin (/ (sqrt t) (/ z (/ x (/ y 1/18)))))
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x)))
(/ (sqrt t) (/ z (/ x (/ y 1/18))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))
(sqrt t)
(sqrt.f64 t)
t
(/ z (/ x (/ y 1/18)))
(/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x)
z
(/ x (/ y 1/18))
(/.f64 x (/.f64 y #s(literal 1/18 binary64)))
x
(/ y 1/18)
(/.f64 y #s(literal 1/18 binary64))
y
1/18
#s(literal 1/18 binary64)
2
#s(literal 2 binary64)
1/9
#s(literal 1/9 binary64)
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x)))))
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)
(*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 y (/.f64 z #s(literal 1/18 binary64))) x))))
1/3
#s(literal 1/3 binary64)

localize229.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.6%
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓accuracy93.6%
(/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))
✓accuracy92.7%
(/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64))))
✓accuracy88.6%
(PI.f64)
✓accuracy98.6%
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓accuracy93.6%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy92.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy88.6%
(PI.f64)
Results
102.0ms226×0valid
70.0ms30×5exit
Compiler

Compiled 280 to 37 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
...c/correct-round.rkt:119:19: 30.0ms (28.4% of total)
ival-div: 21.0ms (19.9% of total)
ival-mult: 16.0ms (15.1% of total)
backward-pass: 9.0ms (8.5% of total)
ival-sqrt: 8.0ms (7.6% of total)
ival-pow: 7.0ms (6.6% of total)
ival-asin: 5.0ms (4.7% of total)
ival-sub: 4.0ms (3.8% of total)
ival-add: 3.0ms (2.8% of total)
const: 1.0ms (0.9% of total)
ival-pi: 1.0ms (0.9% of total)

series54.0ms (0.2%)

Counts
12 → 360
Calls
Call 1
Inputs
#<alt (+ (* (PI) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))>
#<alt (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)>
#<alt (* (PI) 1/6)>
#<alt (PI)>
#<alt (/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))>
#<alt (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9))>
#<alt (* (* (PI) (PI)) 1/36)>
#<alt (* (PI) (PI))>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (/ z (/ x (/ y 1/18)))>
#<alt (/ (sqrt t) (/ z (/ x (/ y 1/18))))>
Outputs
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
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#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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))))>
Calls

90 calls:

TimeVariablePointExpression
30.0ms
x
@inf
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9))
2.0ms
t
@0
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
2.0ms
t
@-inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
1.0ms
x
@-inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
1.0ms
y
@inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))

rewrite382.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3734×/-lowering-/.f32
3734×/-lowering-/.f64
1446×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036114
1214112
21773112
08642112
Stop Event
1×iter limit
1×node limit
Counts
12 → 930
Calls
Call 1
Inputs
(+ (* (PI) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(* (PI) 1/6)
(PI)
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 1/3)))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (/ (sqrt t) (/ z (/ x (/ y 1/18))))) 2) 1/9))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(* z (/ 18 (/ x y)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/ z (/ x (/ y 1/18)))
(/ (sqrt t) (/ z (/ x (/ y 1/18))))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))
(+.f64 (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) (+.f64 (neg.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))) (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))))))
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(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y #s(literal -1/18 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sqrt.f64 t) (neg.f64 (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
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(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1/18 binary64))))
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(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal -18 binary64) (/.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 y #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 y x)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1/18 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1 binary64)) (/.f64 x (/.f64 y #s(literal -1/18 binary64))))

simplify310.0ms (1%)

Algorithm
1×egg-herbie
Rules
4442×*-lowering-*.f32
4442×*-lowering-*.f64
1486×/-lowering-/.f32
1486×/-lowering-/.f64
1396×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0505692
11195632
23195592
310295592
431885592
552535592
670535592
082505592
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
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(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
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(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
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(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 18 (/ (* y z) x))
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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 (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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Outputs
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
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(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 18 (/ (* y z) x))
(/.f64 (*.f64 y (*.f64 z #s(literal 18 binary64))) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))

eval328.0ms (1.1%)

Compiler

Compiled 76307 to 4522 computations (94.1% saved)

prune186.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New171731720
Fresh000
Picked202
Done022
Total171951724
Accuracy
100.0%
Counts
1724 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 1/3 binary64))))
▶97.2%
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
▶98.7%
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.2%
(*.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 126 to 91 computations (27.8% saved)

simplify189.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64)))
✓cost-diff0
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 1/3 binary64))))
✓cost-diff0
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓cost-diff0
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
✓cost-diff6784
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
Rules
2086×fnmsub-define
1872×fmsub-define
1870×fmm-def
1648×fma-lowering-fma.f32
1648×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043378
190348
2187348
3363348
4533348
5652348
6776348
7968348
81206348
91787348
102290348
112873348
124604348
136910348
147254348
157843348
08055348
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (cbrt (* (PI) (* (PI) (PI)))) 1/6)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/6
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
0
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
1/3
(- (* (PI) 1/6) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3))
(* (PI) 1/6)
(PI)
1/6
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
1/3
(/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))
(+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9))
(* (PI) (* (PI) 1/36))
(PI)
(* (PI) 1/36)
1/36
(* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)
(pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2)
(asin (/ (* 1/18 (* (sqrt t) x)) (* y z)))
(/ (* 1/18 (* (sqrt t) x)) (* y z))
(* 1/18 (* (sqrt t) x))
1/18
(* (sqrt t) x)
(sqrt t)
t
x
(* y z)
y
z
2
-1/9
(+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3))
(* 1/6 (PI))
1/6
(* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)
1/3
Outputs
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* (cbrt (* (PI) (* (PI) (PI)))) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/6
#s(literal 1/6 binary64)
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)) #s(literal -1/3 binary64))
(- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y))))))
(-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)))
0
#s(literal 0 binary64)
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z (*.f64 #s(literal 18 binary64) y)) x)
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)
(- (* (PI) 1/6) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3))
(+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(*.f64 (asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)) #s(literal 1/3 binary64))
(asin (/ (sqrt t) (* z (/ 18 (/ x y)))))
(asin.f64 (/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 18 binary64)) z)
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 z (*.f64 #s(literal 18 binary64) y)) x)
z
(/ 18 (/ x y))
(/.f64 #s(literal 18 binary64) (/.f64 x y))
18
#s(literal 18 binary64)
(/ x y)
(/.f64 x y)
x
y
1/3
#s(literal 1/3 binary64)
(/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))))))
(+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64)) #s(literal -1/9 binary64)))
(* (PI) (* (PI) 1/36))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64)))
(PI)
(PI.f64)
(* (PI) 1/36)
(*.f64 (PI.f64) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)
(*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64)) #s(literal -1/9 binary64))
(pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))) #s(literal 2 binary64))
(asin (/ (* 1/18 (* (sqrt t) x)) (* y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))
(/ (* 1/18 (* (sqrt t) x)) (* y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))
(* 1/18 (* (sqrt t) x))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
1/18
#s(literal 1/18 binary64)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(sqrt t)
(sqrt.f64 t)
t
x
(* y z)
(*.f64 z y)
y
z
2
#s(literal 2 binary64)
-1/9
#s(literal -1/9 binary64)
(+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y)))))
(* 1/6 (PI))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)
(*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 z y))))
1/3
#s(literal 1/3 binary64)

localize288.0ms (1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
✓accuracy98.5%
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 1/3 binary64))))
✓accuracy98.4%
(*.f64 #s(literal 1/6 binary64) (PI.f64))
✓accuracy89.6%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
✓accuracy99.6%
(/.f64 #s(literal 18 binary64) (/.f64 x y))
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓accuracy93.5%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy90.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy93.5%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
✓accuracy90.6%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
Results
150.0ms256×0valid
Compiler

Compiled 381 to 44 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 43.0ms (47.7% of total)
...c/correct-round.rkt:119:19: 19.0ms (21.1% of total)
ival-div: 9.0ms (10% of total)
ival-add: 4.0ms (4.4% of total)
ival-asin: 4.0ms (4.4% of total)
ival-sub: 3.0ms (3.3% of total)
ival-pow: 3.0ms (3.3% of total)
ival-cbrt: 2.0ms (2.2% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
const: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.1%)

Counts
18 → 468
Calls
Call 1
Inputs
#<alt (+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) 1/6)>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)>
#<alt (- (* (PI) 1/6) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3))>
#<alt (* (PI) 1/6)>
#<alt (PI)>
#<alt (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)>
#<alt (/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))>
#<alt (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9))>
#<alt (* (PI) (* (PI) 1/36))>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ 18 (/ x y))>
#<alt (/ (* 1/18 (* (sqrt t) x)) (* y z))>
#<alt (* 1/6 (PI))>
#<alt (* 1/18 (* (sqrt t) x))>
Outputs
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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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 (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
Calls

117 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* 1/18 (* (sqrt t) x))
4.0ms
t
@-inf
(* 1/18 (* (sqrt t) x))
2.0ms
y
@inf
(- (* (PI) 1/6) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3))
1.0ms
t
@-inf
(/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))
1.0ms
x
@-inf
(/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))

rewrite11.5s (37.9%)

Algorithm
1×batch-egg-rewrite
Rules
3502×*-lowering-*.f32
3502×*-lowering-*.f64
2616×/-lowering-/.f32
2616×/-lowering-/.f64
1976×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043173
1239172
21798172
08587172
Stop Event
1×iter limit
1×node limit
Counts
18 → 721
Calls
Call 1
Inputs
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3))
(* (cbrt (* (PI) (* (PI) (PI)))) 1/6)
(cbrt (* (PI) (* (PI) (PI))))
(* (- 0 (asin (/ (sqrt t) (* z (/ 18 (/ x y)))))) 1/3)
(- (* (PI) 1/6) (* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3))
(* (PI) 1/6)
(PI)
(* (asin (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(/ (+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9)) (+ (* 1/6 (PI)) (* (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 1/3)))
(+ (* (PI) (* (PI) 1/36)) (* (pow (asin (/ (* 1/18 (* (sqrt t) x)) (* y z))) 2) -1/9))
(* (PI) (* (PI) 1/36))
(* z (/ 18 (/ x y)))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(* (PI) (* (PI) (PI)))
(/ 18 (/ x y))
(/ (* 1/18 (* (sqrt t) x)) (* y z))
(* 1/6 (PI))
(* 1/18 (* (sqrt t) x))
Outputs
(+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))))
(+.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) (+.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (-.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))) (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (-.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))))) (/.f64 (pow.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (-.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (neg.f64 (-.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64)) (+.f64 (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal 1/3 binary64))))))
(fma.f64 (asin.f64 (/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 18 binary64) y) x)
(/.f64 (neg.f64 (/.f64 #s(literal 18 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 18 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 #s(literal 18 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 18 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 18 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(*.f64 #s(literal -18 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 y x) #s(literal 18 binary64))
(*.f64 (/.f64 #s(literal 18 binary64) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 18 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z y)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64))) (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) x)) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) x))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y))) #s(literal -1 binary64))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))
(*.f64 (*.f64 (sqrt.f64 t) x) (*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 x #s(literal 1/18 binary64)) y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y) #s(literal 1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (*.f64 z y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y) (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (-.f64 #s(literal 0 binary64) y)) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 z)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 z)) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) #s(literal -1 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) z) (/.f64 #s(literal 1/18 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) y) (/.f64 x (neg.f64 z)))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))

simplify412.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
3428×*-lowering-*.f32
3428×*-lowering-*.f64
2710×/-lowering-/.f32
2710×/-lowering-/.f64
1020×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0587136
11287052
23216996
310346996
420366996
536836996
647766996
770376996
081426996
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(+ (* -1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (* 1/36 (pow (PI) 2)))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 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 (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* 1/18 (* (sqrt t) x))
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(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
Outputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 18 (/ y x))
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* 1/18 (* (sqrt t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))

eval325.0ms (1.1%)

Compiler

Compiled 69149 to 4556 computations (93.4% saved)

prune273.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New193321935
Fresh000
Picked213
Done022
Total193551940
Accuracy
100.0%
Counts
1940 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
✓97.2%
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
97.2%
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓96.2%
(*.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 416 to 182 computations (56.3% saved)

regimes61.0ms (0.2%)

Counts
12 → 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 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 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 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))))))
Outputs
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
Calls

13 calls:

8.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
7.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
7.0ms
x
4.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
(*.f64 z #s(literal 2 binary64))
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)

regimes599.0ms (2%)

Counts
10 → 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 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/36 binary64))) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 1/3 binary64))))
Outputs
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
Calls

13 calls:

556.0ms
z
5.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
4.0ms
y
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
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)

regimes40.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))))
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:

7.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
3.0ms
x
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
z
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1t
97.7%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))))
97.7%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)))
97.7%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))
97.7%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.7%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.7%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.7%1(*.f64 y #s(literal 27 binary64))
97.7%1(*.f64 z #s(literal 2 binary64))
97.7%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes12.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

7.0ms
(sqrt.f64 t)
1.0ms
t
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
96.2%1x
96.2%1y
96.2%1z
96.2%1t
96.2%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify12.0ms (0%)

Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
18×+-commutative_binary64
16×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04987
17487
29687
310887
411687
511887
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.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 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal 1/6 binary64) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x 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))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))))

soundness5.8s (19.2%)

Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3734×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
043173
1239172
21798172
08587172
036114
1214112
21773112
08642112
026112
191102
259094
3534094
0891194
041164
1246160
22144160
08808160
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×node limit
1×iter limit
1×saturated
Compiler

Compiled 194 to 134 computations (30.9% saved)

preprocess53.0ms (0.2%)

Remove

(sort y z)

Compiler

Compiled 528 to 322 computations (39% saved)

end0.0ms (0%)

Profiling

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