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

Time bar (total: 12.8s)

analyze335.0ms (2.6%)

Memory
-7.2MiB live, 703.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample4.8s (37.6%)

Memory
128.7MiB live, 6 622.5MiB allocated
Samples
2.0s15 598×0invalid
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-div: 1.0s (41.8% of total)
ival-mult: 931.0ms (38.6% of total)
ival-sqrt: 205.0ms (8.5% of total)
ival-acos: 197.0ms (8.2% of total)
exact: 41.0ms (1.7% of total)
ival-true: 19.0ms (0.8% of total)
ival-assert: 9.0ms (0.4% of total)
Bogosity

preprocess292.0ms (2.3%)

Memory
-128.8MiB live, 226.8MiB allocated
Algorithm
egg-herbie
Rules
2 044×*-lowering-*.f32
2 044×*-lowering-*.f64
1 430×associate-*r/
1 168×associate-*r*
1 118×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092263
1281227
2988197
33692197
44350197
55170197
66243197
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Call 2
Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3)
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z))))
Symmetry

(sort y z)

explain204.0ms (1.6%)

Memory
16.6MiB live, 435.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-3(8.867569518712058e-237 -1.553983308627187e+83 1.407587180579822e-177 2.2919485750517967e-108)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
160-3(-5.898182129039209e-271 2.6803025348734816e-110 1.2806075920190008e+155 4003314446804525000.0)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 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-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n200
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow60
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow60
*.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))n*u130
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))n/o10
(*.f64 z #s(literal 2 binary64))overflow1
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n10
(*.f64 y #s(literal 27 binary64))overflow1
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow1
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow1
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
(*.f64 y #s(literal 27 binary64))overflow1
Confusion
Predicted +Predicted -
+20
-34220
Precision
0.05555555555555555
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-340220
Precision?
0.05555555555555555
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms512×0valid
Compiler

Compiled 230 to 76 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 15.0ms (37.4% of total)
ival-div: 12.0ms (29.9% of total)
ival-acos: 8.0ms (19.9% of total)
ival-sqrt: 4.0ms (10% of total)
exact: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Compiler

Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.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%
(*.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)

simplify83.0ms (0.7%)

Memory
-6.6MiB live, 110.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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-diff128
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff128
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
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
2 044×*-lowering-*.f32
2 044×*-lowering-*.f64
1 186×associate-*l/
1 120×associate-*r*
1 096×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

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

localize292.0ms (2.3%)

Memory
-8.6MiB live, 173.6MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy95.3%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy91.5%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
accuracy95.0%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
accuracy92.7%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Samples
263.0ms256×0valid
Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 16.0ms (43.4% of total)
ival-div: 8.0ms (21.7% of total)
const: 6.0ms (16.3% of total)
ival-acos: 4.0ms (10.9% of total)
ival-sqrt: 2.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.5%)

Memory
11.3MiB live, 49.8MiB allocated
Counts
11 → 408
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)>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (/ (* x (sqrt t)) z)>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
Calls

102 calls:

TimeVariablePointExpression
24.0ms
y
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
4.0ms
y
@0
(* 3 (/ x (* y 27)))
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite302.0ms (2.4%)

Memory
0.5MiB live, 544.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 440×*-lowering-*.f32
5 440×*-lowering-*.f64
3 118×/-lowering-/.f32
3 118×/-lowering-/.f64
1 956×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026103
19195
257889
3526089
0807189
Stop Event
iter limit
node limit
Counts
11 → 845
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)
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ (* x (sqrt t)) z)
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ x (* y 27))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(*.f64 (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) (/.f64 #s(literal 1/18 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y) #s(literal 1/18 binary64))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #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 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 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 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 (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 2 binary64)) (*.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)) (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 2 binary64))) (-.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)))))))))
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(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -27 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 27 binary64))) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y #s(literal -27 binary64)))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/27 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y)) #s(literal -1 binary64))
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(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y)) (/.f64 #s(literal 27 binary64) (/.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
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(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
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(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify238.0ms (1.9%)

Memory
40.9MiB live, 387.3MiB allocated
Algorithm
egg-herbie
Rules
3 468×*-lowering-*.f32
3 468×*-lowering-*.f64
3 064×accelerator-lowering-fma.f32
3 064×accelerator-lowering-fma.f64
2 180×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0373888
1843840
22823828
310503828
424723828
548473828
662293828
772673828
878803828
080663828
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (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))))))
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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))))))
(* 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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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.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 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y)) z)))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* (sqrt t) (/ x z))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))

eval371.0ms (2.9%)

Memory
-37.9MiB live, 383.2MiB allocated
Compiler

Compiled 21 823 to 4 057 computations (81.4% saved)

prune136.0ms (1.1%)

Memory
11.9MiB live, 327.4MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 25121 253
Fresh000
Picked112
Done000
Total1 25231 255
Accuracy
98.5%
Counts
1 255 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.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) (/.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))))))
97.7%
(*.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 77 to 51 computations (33.8% saved)

simplify609.0ms (4.8%)

Memory
-31.8MiB live, 295.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 t)
cost-diff0
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
cost-diff0
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
cost-diff0
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
cost-diff0
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
cost-diff0
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/3 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))))))
cost-diff128
(/.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)))))
Rules
5 160×accelerator-lowering-fma.f32
5 160×accelerator-lowering-fma.f64
3 100×*-lowering-*.f32
3 100×*-lowering-*.f64
1 178×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032275
159275
2122273
3321273
4720273
51298273
61792273
72328273
83484273
94508273
105097273
115353273
125599273
135758273
146236273
156366273
166366273
176366273
186366273
196366273
206509273
217069273
227512273
237588273
247596273
257596273
267684273
08120268
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))))
1/3
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))
1
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(/ (PI) 2)
(PI)
2
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
1/18
(/ y (/ x (/ z (sqrt t))))
y
(/ x (/ z (sqrt t)))
x
(/ z (sqrt t))
z
(sqrt t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
t
(* z (/ 18 (/ x y)))
z
(/ 18 (/ x y))
18
(/ x y)
x
y
1/3
Outputs
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))))
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64)) (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal -4 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))))))
1/3
#s(literal 1/3 binary64)
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))))
1
#s(literal 1 binary64)
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))
1/18
#s(literal 1/18 binary64)
(/ y (/ x (/ z (sqrt t))))
(/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y))
y
(/ x (/ z (sqrt t)))
(/.f64 x (/.f64 z (sqrt.f64 t)))
x
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))) #s(literal 2 binary64))
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z)))
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(acos.f64 (/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(/.f64 (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) #s(literal 18 binary64)) z)
(sqrt t)
(sqrt.f64 t)
t
(* z (/ 18 (/ x y)))
(/.f64 (*.f64 y (*.f64 z #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
1/3
#s(literal 1/3 binary64)

localize140.0ms (1.1%)

Memory
33.7MiB live, 224.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 #s(literal 18 binary64) (/.f64 x y))
accuracy98.5%
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
accuracy94.7%
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))
accuracy91.7%
(*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 #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))))))
accuracy98.3%
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
accuracy96.5%
(/.f64 x (/.f64 z (sqrt.f64 t)))
accuracy93.5%
(/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))
Samples
96.0ms256×0valid
Compiler

Compiled 279 to 34 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 34.0ms (48.3% of total)
ival-div: 17.0ms (24.2% of total)
const: 7.0ms (9.9% of total)
ival-acos: 2.0ms (2.8% of total)
ival-asin: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
ival-pow2: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.5%)

Memory
10.0MiB live, 123.6MiB allocated
Counts
13 → 540
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))>
#<alt (* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))))>
#<alt (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))>
#<alt (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))>
#<alt (* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)>
#<alt (acos (/ (sqrt t) (* z (/ 18 (/ x y)))))>
#<alt (/ (sqrt t) (* z (/ 18 (/ x y))))>
#<alt (sqrt t)>
#<alt (/ y (/ x (/ z (sqrt t))))>
#<alt (/ x (/ z (sqrt t)))>
#<alt (/ 1/18 (/ y (/ x (/ z (sqrt t)))))>
#<alt (* z (/ 18 (/ x y)))>
#<alt (/ 18 (/ x y))>
Outputs
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<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 (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt (/ 1 t)) (/ (* y z) x))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* (sqrt t) (/ x z))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
#<alt (* 18 (/ y x))>
Calls

135 calls:

TimeVariablePointExpression
12.0ms
x
@inf
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
3.0ms
t
@-inf
(/ y (/ x (/ z (sqrt t))))
2.0ms
x
@0
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))
2.0ms
y
@0
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))
1.0ms
t
@-inf
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))

rewrite513.0ms (4%)

Memory
21.9MiB live, 846.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 300×/-lowering-/.f32
5 300×/-lowering-/.f64
4 658×accelerator-lowering-fma.f32
4 658×accelerator-lowering-fma.f64
4 528×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032196
1187124
21360124
08463123
Stop Event
iter limit
node limit
Counts
13 → 672
Calls
Call 1
Inputs
(/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2))))
(* 1/3 (/ 1 (/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))))
(/ (+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))) 2)))
(+ (/ (PI) 2) (asin (/ 1/18 (/ y (/ x (/ z (sqrt t)))))))
(* (acos (/ (sqrt t) (* z (/ 18 (/ x y))))) 1/3)
(acos (/ (sqrt t) (* z (/ 18 (/ x y)))))
(/ (sqrt t) (* z (/ 18 (/ x y))))
(sqrt t)
(/ y (/ x (/ z (sqrt t))))
(/ x (/ z (sqrt t)))
(/ 1/18 (/ y (/ x (/ z (sqrt t)))))
(* z (/ 18 (/ x y)))
(/ 18 (/ x y))
Outputs
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal -1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 y x) (/.f64 (sqrt.f64 t) z)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (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 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
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(neg.f64 (/.f64 #s(literal -18 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) #s(literal 18 binary64)))
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(/.f64 (neg.f64 (/.f64 #s(literal 18 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
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(*.f64 #s(literal 18 binary64) (/.f64 y x))
(*.f64 #s(literal -18 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.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))

simplify384.0ms (3%)

Memory
-38.7MiB live, 629.7MiB allocated
Algorithm
egg-herbie
Rules
4 312×*-lowering-*.f32
4 312×*-lowering-*.f64
3 906×accelerator-lowering-fma.f32
3 906×accelerator-lowering-fma.f64
2 528×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619240
11379096
23639060
311519060
427879060
559309060
678029060
082238820
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
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(* 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 (pow (sqrt -1) 2)) (* 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))))))
(* 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))))))
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(* 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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(* 1/18 (* (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))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(sqrt t)
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
(* (sqrt (/ 1 t)) (/ (* y z) x))
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(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) 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))))
(* 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))
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(* 18 (/ (* y z) x))
(* 18 (/ (* y z) x))
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(* 18 (/ (* y z) x))
(* 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 x))
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(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
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(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
(* 18 (/ y x))
Outputs
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(* 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)

eval285.0ms (2.2%)

Memory
16.9MiB live, 676.4MiB allocated
Compiler

Compiled 61 157 to 4 632 computations (92.4% saved)

prune219.0ms (1.7%)

Memory
38.5MiB live, 405.8MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 55921 561
Fresh000
Picked112
Done011
Total1 56041 564
Accuracy
100.0%
Counts
1 564 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
99.2%
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
98.1%
(*.f64 (acos.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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Compiler

Compiled 96 to 66 computations (31.3% saved)

simplify318.0ms (2.5%)

Memory
-40.8MiB live, 257.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))
cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
cost-diff128
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
cost-diff0
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
cost-diff0
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
Rules
2 728×accelerator-lowering-fma.f32
2 728×accelerator-lowering-fma.f64
2 192×*-lowering-*.f32
2 192×*-lowering-*.f64
924×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028244
151244
2104244
3281244
4698244
51197244
61659244
72299244
83596244
94534244
104890244
115057244
125273244
135273244
145391244
155423244
165423244
175423244
185454244
195474244
205474244
215490244
05490239
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)))
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))))
1/3
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
1
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
(/ (PI) 2)
(PI)
2
(asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))
(/ (/ 1/18 y) (/ z (* x (sqrt t))))
(/ 1/18 y)
1/18
y
(/ z (* x (sqrt t)))
z
(* x (sqrt t))
x
(sqrt t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
1/3
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
1
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))
(/ (/ 1/18 y) (/ z (* x (sqrt t))))
(/ 1/18 y)
1/18
y
(/ z (* x (sqrt t)))
z
(* x (sqrt t))
x
(sqrt t)
t
Outputs
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))))
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
1/3
#s(literal 1/3 binary64)
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
1
#s(literal 1 binary64)
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))
(asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))
(/ (/ 1/18 y) (/ z (* x (sqrt t))))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ z (* x (sqrt t)))
(/.f64 z (*.f64 x (sqrt.f64 t)))
z
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2))
(-.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)
(pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
1/3
#s(literal 1/3 binary64)
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))
1
#s(literal 1 binary64)
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))
(acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))
(/ (/ 1/18 y) (/ z (* x (sqrt t))))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ z (* x (sqrt t)))
(/.f64 z (*.f64 x (sqrt.f64 t)))
z
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t

localize100.0ms (0.8%)

Memory
33.5MiB live, 228.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 #s(literal 1/18 binary64) y)
accuracy98.5%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
accuracy95.0%
(/.f64 z (*.f64 x (sqrt.f64 t)))
accuracy92.4%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
accuracy99.6%
(*.f64 x (sqrt.f64 t))
accuracy99.5%
(/.f64 #s(literal 1/18 binary64) y)
accuracy95.0%
(/.f64 z (*.f64 x (sqrt.f64 t)))
accuracy92.4%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))
Samples
59.0ms256×0valid
Compiler

Compiled 252 to 30 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 13.0ms (33.9% of total)
ival-mult: 7.0ms (18.3% of total)
const: 6.0ms (15.7% of total)
ival-acos: 2.0ms (5.2% of total)
ival-asin: 2.0ms (5.2% of total)
ival-sqrt: 2.0ms (5.2% of total)
ival-pow2: 2.0ms (5.2% of total)
ival-pi: 1.0ms (2.6% of total)
ival-add: 1.0ms (2.6% of total)
ival-sub: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory
-7.9MiB live, 70.3MiB allocated
Counts
11 → 456
Calls
Call 1
Inputs
#<alt (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))))>
#<alt (* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)))>
#<alt (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))>
#<alt (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))>
#<alt (/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))>
#<alt (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))>
#<alt (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))>
#<alt (/ (/ 1/18 y) (/ z (* x (sqrt t))))>
#<alt (/ z (* x (sqrt t)))>
#<alt (/ 1/18 y)>
#<alt (* x (sqrt t))>
Outputs
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
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#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (acos (* 1/18 (* (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 (acos (* 1/18 (* (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 (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (/ 1/18 y)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
Calls

114 calls:

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

rewrite563.0ms (4.4%)

Memory
12.8MiB live, 803.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 780×accelerator-lowering-fma.f32
7 780×accelerator-lowering-fma.f64
4 434×*-lowering-*.f32
4 434×*-lowering-*.f64
3 650×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028170
1159170
21117122
08510119
Stop Event
iter limit
node limit
Counts
11 → 676
Calls
Call 1
Inputs
(* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))))
(* (* 1/3 (/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))) (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))) 2)))
(/ 1 (+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
(/ 1/3 (/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))))
(/ 1 (acos (/ (/ 1/18 y) (/ z (* x (sqrt t))))))
(acos (/ (/ 1/18 y) (/ z (* x (sqrt t)))))
(/ (/ 1/18 y) (/ z (* x (sqrt t))))
(/ z (* x (sqrt t)))
(/ 1/18 y)
(* x (sqrt t))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (+.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) (/.f64 (PI.f64) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 3 binary64)))) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))))))
(/.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))) #s(literal 1/3 binary64))))
(/.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(/.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
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simplify345.0ms (2.7%)

Memory
-13.3MiB live, 572.3MiB allocated
Algorithm
egg-herbie
Rules
4 210×*-lowering-*.f32
4 210×*-lowering-*.f64
3 762×accelerator-lowering-fma.f32
3 762×accelerator-lowering-fma.f64
2 344×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0586964
11186836
23206804
310866804
424086804
552266804
672296804
080806564
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/ 1 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(/ 1 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
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(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
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(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
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(* (sqrt (/ 1 t)) (/ z x))
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(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
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(/ 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)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
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(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
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Outputs
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)

eval383.0ms (3%)

Memory
2.7MiB live, 539.1MiB allocated
Compiler

Compiled 68 042 to 3 858 computations (94.3% saved)

prune220.0ms (1.7%)

Memory
-28.0MiB live, 349.9MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1 68201 682
Fresh000
Picked022
Done022
Total1 68241 686
Accuracy
100.0%
Counts
1 686 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
99.2%
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
98.1%
(*.f64 (acos.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 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Compiler

Compiled 238 to 128 computations (46.2% saved)

regimes55.0ms (0.4%)

Memory
31.1MiB live, 69.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(*.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 #s(literal 1/3 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 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
Calls

13 calls:

24.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.2%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.2%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.2%1(*.f64 y #s(literal 27 binary64))
99.2%1(*.f64 z #s(literal 2 binary64))
99.2%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes86.0ms (0.7%)

Memory
-26.3MiB live, 51.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))
(*.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 #s(literal 1/3 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))))))
Outputs
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
Calls

13 calls:

44.0ms
y
18.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes7.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
x
1.0ms
t
1.0ms
(sqrt.f64 t)
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1t
97.7%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify10.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03765
15065
25465
35665
45765
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Outputs
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t)))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z (*.f64 x (sqrt.f64 t))))) #s(literal 2 binary64))))
(*.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))

soundness1.3s (10%)

Memory
-25.7MiB live, 1 262.9MiB allocated
Rules
5 440×*-lowering-*.f32
5 440×*-lowering-*.f64
5 300×/-lowering-/.f32
5 300×/-lowering-/.f64
4 658×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026103
19195
257889
3526089
0807189
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
032196
1187124
21360124
08463123
Stop Event
done
iter limit
node limit
iter limit
saturated
iter limit
node limit
Compiler

Compiled 89 to 57 computations (36% saved)

preprocess52.0ms (0.4%)

Memory
17.1MiB live, 167.5MiB allocated
Remove

(sort y z)

Compiler

Compiled 484 to 292 computations (39.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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