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

Time bar (total: 34.8s)

analyze560.0ms (1.6%)

Memory
13.9MiB live, 460.0MiB 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)

sample4.6s (13.2%)

Memory
-26.7MiB live, 6 971.6MiB allocated
Samples
2.4s15 905×0invalid
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-div: 1.0s (42% of total)
ival-mult: 878.0ms (35.9% of total)
ival-acos: 241.0ms (9.9% of total)
ival-sqrt: 228.0ms (9.3% of total)
exact: 44.0ms (1.8% of total)
ival-true: 18.0ms (0.7% of total)
ival-assert: 9.0ms (0.4% of total)
Bogosity

preprocess170.0ms (0.5%)

Memory
2.5MiB live, 123.6MiB 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
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 (0.6%)

Memory
-13.8MiB live, 378.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
261(-3.0160619600623505e-293 -3.966636106155408e+210 8.44854940713508e-182 3.0656273261896295e+213)3(-6.871540009854187e-252 -7.423968101106723e+68 5.4971682911549e-93 3.968647231039181e-181)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
140-1(-3.0160619600623505e-293 -3.966636106155408e+210 8.44854940713508e-182 3.0656273261896295e+213)(*.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-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-(/.f64 x (*.f64 y #s(literal 27 binary64)))
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/n240
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow64
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow64
*.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
Confusion
Predicted +Predicted -
+10
-36219
Precision
0.02702702702702703
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-360219
Precision?
0.02702702702702703
Recall?
1.0
Freqs
test
numberfreq
0219
137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
66.0ms512×0valid
Compiler

Compiled 230 to 76 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-div: 17.0ms (40.7% of total)
ival-mult: 14.0ms (33.5% of total)
ival-sqrt: 5.0ms (12% of total)
ival-acos: 4.0ms (9.6% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(*.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))))
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify91.0ms (0.3%)

Memory
-1.3MiB live, 111.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 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-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
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
01986
13976
211768
339268
4138668
5314868
6324068
7329068
8329068
9329068
10391368
11395268
12395268
0395268
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ 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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(/ 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 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/ (* 3 (/ x (* y 27))) (* z 2))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 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

localize62.0ms (0.2%)

Memory
10.5MiB live, 121.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy95.4%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy91.3%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
38.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (36.1% of total)
ival-div: 5.0ms (30.1% of total)
ival-sqrt: 2.0ms (12% of total)
ival-acos: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.1%)

Memory
9.1MiB live, 46.8MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
Outputs
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt 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 (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
Calls

39 calls:

TimeVariablePointExpression
5.0ms
t
@0
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
2.0ms
x
@inf
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
1.0ms
z
@0
(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms
t
@-inf
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
1.0ms
x
@0
(/ (* 3 (/ x (* y 27))) (* z 2))

rewrite530.0ms (1.5%)

Memory
-40.5MiB live, 509.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 832×*-lowering-*.f32
5 832×*-lowering-*.f64
3 672×/-lowering-/.f32
3 672×/-lowering-/.f64
1 650×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01950
15942
237736
3374136
0820736
Stop Event
iter limit
node limit
Counts
5 → 518
Calls
Call 1
Inputs
(/ 1 3)
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y))))
(neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))))
(/.f64 #s(literal 3 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 54 binary64) y) x)))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 54 binary64) y) x) z))
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2/3 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (*.f64 #s(literal 54 binary64) y) x))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) #s(literal -2 binary64))
(/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal -27 binary64)) x) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 #s(literal 54 binary64) y) x)))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 54 binary64) y) x) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)) z)
(/.f64 #s(literal 3/2 binary64) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) z))
(/.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) #s(literal 2/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 z #s(literal 54 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 #s(literal 54 binary64) z))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) z))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) z))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 y z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 54 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 y #s(literal 27 binary64)) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 y #s(literal -27 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 54 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal -27 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 54 binary64) y) x))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 27 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal -27 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) #s(literal -27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z)) y)
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) z)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) y) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64))))
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(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 54 binary64) y) x))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 y #s(literal -27 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -2/3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) (sqrt.f64 t)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64)))
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(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))) (*.f64 (*.f64 y #s(literal 27 binary64)) z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) z) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)))
(pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))) (*.f64 y #s(literal 27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))) (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 z (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 #s(literal 54 binary64) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y))))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t)))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) z) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)))
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 x (*.f64 z (*.f64 #s(literal 54 binary64) y))) (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64))) z))
(*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (sqrt.f64 t)))
(*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)))
(*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)))
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y)))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal 54 binary64) y))) #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) y)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 #s(literal 54 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z) (/.f64 (*.f64 x #s(literal 1/9 binary64)) y))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 (/.f64 y x) #s(literal 9 binary64)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal 9 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 54 binary64) y) x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal 54 binary64) y) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z #s(literal 1/3 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2/3 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x))) #s(literal 3/2 binary64))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x z)) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)) z))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y))) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z))) #s(literal 3/2 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/27 binary64) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) z) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal -2 binary64))) (*.f64 (/.f64 x y) #s(literal -1/9 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2/3 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))

simplify486.0ms (1.4%)

Memory
-32.5MiB live, 283.3MiB allocated
Algorithm
egg-herbie
Rules
4 146×*-lowering-*.f32
4 146×*-lowering-*.f64
3 464×/-lowering-/.f32
3 464×/-lowering-/.f64
1 210×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0291496
1611484
21901476
37151476
425291476
544171476
662061476
080651476
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
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(* 1/9 (/ x y))
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(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 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))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (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 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))

eval146.0ms (0.4%)

Memory
22.2MiB live, 177.4MiB allocated
Compiler

Compiled 12 465 to 2 566 computations (79.4% saved)

prune84.0ms (0.2%)

Memory
2.9MiB live, 201.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6704674
Fresh000
Picked101
Done000
Total6714675
Accuracy
98.5%
Counts
675 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
97.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))))
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
97.0%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
Compiler

Compiled 145 to 81 computations (44.1% saved)

simplify340.0ms (1%)

Memory
-3.5MiB live, 474.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))))
cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
Rules
5 894×accelerator-lowering-fma.f32
5 894×accelerator-lowering-fma.f64
4 232×*-lowering-*.f32
4 232×*-lowering-*.f64
2 020×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049537
1116503
2313503
3813503
41469503
51967503
62491503
73509503
85214503
96345503
08048492
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
1/3
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
1/18
(* x (sqrt t))
x
(sqrt t)
t
(* y z)
y
z
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(/ 1 3)
1
3
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(* 1/18 (/ x (* y z)))
1/18
(/ x (* y z))
x
(* y z)
y
z
(sqrt t)
t
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* x (* 3 (sqrt t)))
x
(* 3 (sqrt t))
3
(sqrt t)
t
(* z (* 54 y))
z
(* 54 y)
54
y
2
1/3
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/8
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* x (* 3 (sqrt t)))
x
(* 3 (sqrt t))
3
(sqrt t)
t
(* z (* 54 y))
z
(* 54 y)
54
y
1/3
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
1/2
(* (* (PI) (PI)) 1/4)
1/4
Outputs
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/3
#s(literal 1/3 binary64)
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* x (sqrt t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
1/18
#s(literal 1/18 binary64)
(* x (sqrt t))
(*.f64 x (sqrt.f64 t))
x
(sqrt t)
(sqrt.f64 t)
t
(* y z)
(*.f64 y z)
y
z
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(/ 1 3)
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)
3
#s(literal 3 binary64)
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
1/18
#s(literal 1/18 binary64)
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 0 binary64))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(* (* (PI) (PI)) 1/4)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
x
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(*.f64 z (*.f64 y #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/24 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(* (* (PI) (* (PI) (PI))) 1/8)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/8 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) (* (PI) (PI)))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
1/8
#s(literal 1/8 binary64)
(pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* x (* 3 (sqrt t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
x
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(sqrt t)
(sqrt.f64 t)
t
(* z (* 54 y))
(*.f64 z (*.f64 y #s(literal 54 binary64)))
z
(* 54 y)
(*.f64 y #s(literal 54 binary64))
54
#s(literal 54 binary64)
y
1/3
#s(literal 1/3 binary64)
(+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)

localize203.0ms (0.6%)

Memory
28.8MiB live, 340.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy90.5%
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
accuracy99.6%
(*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))
accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy90.5%
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
accuracy99.7%
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
accuracy95.4%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy99.7%
(*.f64 x (sqrt.f64 t))
accuracy99.5%
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy90.7%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
Samples
93.0ms256×0valid
Compiler

Compiled 550 to 51 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 25.0ms (41% of total)
ival-div: 9.0ms (14.7% of total)
const: 7.0ms (11.5% of total)
ival-acos: 4.0ms (6.6% of total)
ival-pow: 4.0ms (6.6% of total)
ival-add: 2.0ms (3.3% of total)
ival-asin: 2.0ms (3.3% of total)
ival-sub: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-pow2: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.6% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series103.0ms (0.3%)

Memory
-8.2MiB live, 197.0MiB allocated
Counts
21 → 780
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))>
#<alt (acos (/ (* 1/18 (* x (sqrt t))) (* y z)))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (* 1/18 (* x (sqrt t)))>
#<alt (/ 1 3)>
#<alt (* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))>
#<alt (acos (* (* 1/18 (/ x (* y z))) (sqrt t)))>
#<alt (* (* 1/18 (/ x (* y z))) (sqrt t))>
#<alt (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))>
#<alt (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)>
#<alt (/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))>
#<alt (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))>
#<alt (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)>
#<alt (/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))>
#<alt (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))>
#<alt (* x (sqrt t))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 3 (sqrt t))>
#<alt (* x (* 3 (sqrt t)))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<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 (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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Calls

195 calls:

TimeVariablePointExpression
11.0ms
x
@0
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
7.0ms
y
@inf
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
7.0ms
t
@0
(* 3 (sqrt t))
6.0ms
t
@-inf
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
4.0ms
x
@inf
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))

rewrite10.1s (29%)

Memory
-6.8MiB live, 1 190.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 068×*-lowering-*.f32
6 068×*-lowering-*.f64
4 700×/-lowering-/.f32
4 700×/-lowering-/.f64
3 990×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049228
1226220
21719220
08627220
Stop Event
iter limit
node limit
Counts
21 → 1 999
Calls
Call 1
Inputs
(* 1/3 (acos (/ (* 1/18 (* x (sqrt t))) (* y z))))
(acos (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
(/ 1 3)
(* (/ 1 3) (acos (* (* 1/18 (/ x (* y z))) (sqrt t))))
(acos (* (* 1/18 (/ x (* y z))) (sqrt t)))
(* (* 1/18 (/ x (* y z))) (sqrt t))
(/ (* x (* 3 (sqrt t))) (* z (* 54 y)))
(* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3)
(/ (* (- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2)) 1/3) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y))))))
(- (* (* (PI) (PI)) 1/4) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 2))
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3)
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3)) 1/3) (+ (* (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) (+ (* (PI) 1/2) (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))))) (* (* (PI) (PI)) 1/4)))
(- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* x (* 3 (sqrt t))) (* z (* 54 y)))) 3))
(* x (sqrt t))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 3 (sqrt t))
(* x (* 3 (sqrt t)))
(* (PI) (* (PI) (PI)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/512 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 9 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/512 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 9 binary64))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64)))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/512 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 9 binary64)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 6 binary64)))) (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal 1/3 binary64))))
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(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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simplify400.0ms (1.2%)

Memory
-5.8MiB live, 751.2MiB allocated
Algorithm
egg-herbie
Rules
5 694×accelerator-lowering-fma.f32
5 694×accelerator-lowering-fma.f64
4 874×*-lowering-*.f32
4 874×*-lowering-*.f64
1 486×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07513124
118112916
251912864
3160212864
4330212864
5612412864
0819512528
Stop Event
iter limit
node limit
Counts
780 → 780
Calls
Call 1
Inputs
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* 3 (sqrt t))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* 3 (* (sqrt t) x))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (/.f64 x (*.f64 y z)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64) #s(literal 0 binary64))) (fma.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* (sqrt t) x)
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 (sqrt.f64 t) x #s(literal 0 binary64))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 (/ x (* y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* -3 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* 3 (* (sqrt t) x))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))
(* -3 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 0 binary64))

eval728.0ms (2.1%)

Memory
55.5MiB live, 1 388.1MiB allocated
Compiler

Compiled 212 315 to 7 059 computations (96.7% saved)

prune491.0ms (1.4%)

Memory
-17.9MiB live, 865.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4 08964 095
Fresh000
Picked404
Done000
Total4 09364 099
Accuracy
100.0%
Counts
4 099 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
98.4%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/3 binary64))))
97.0%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
97.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
97.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 496 to 278 computations (44% saved)

simplify1.4s (4.1%)

Memory
-12.0MiB live, 183.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
cost-diff0
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
cost-diff64
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
cost-diff0
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
cost-diff128
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(literal 1/18 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Rules
2 536×accelerator-lowering-fma.f32
2 536×accelerator-lowering-fma.f64
2 000×*-lowering-*.f32
2 000×*-lowering-*.f64
756×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051700
1116700
2263700
3543700
41048700
51422700
61781700
72396700
83281700
94649700
104922700
114951700
124951700
134991700
145003700
155003700
165003700
175007700
185015700
05015683
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
1/3
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/ (* 1/18 x) (* y z))
(* 1/18 x)
1/18
x
(* y z)
y
z
(sqrt t)
t
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
1/3
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(PI)
1/2
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
x
(* (sqrt t) 1/18)
(sqrt t)
t
1/18
(* y z)
y
z
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(* (PI) (* (PI) 1/4))
(* (PI) 1/4)
1/4
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
2
(/ (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))) (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
1/3
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(* (PI) (* (PI) 1/4))
(PI)
(* (PI) 1/4)
1/4
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
x
(* (sqrt t) 1/18)
(sqrt t)
t
1/18
(* y z)
y
z
2
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
1/2
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(* (PI) (PI))
(PI)
1/12
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
1/18
(+ (* (sqrt t) (/ x (* y z))) 0)
(sqrt t)
t
(/ x (* y z))
x
(* y z)
y
z
0
2
-1/3
(+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)))
1/2
(* (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))))
(/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
1
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(PI)
1/2
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
x
(* (sqrt t) 1/18)
(sqrt t)
t
1/18
(* y z)
y
z
(* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
1/3
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(* (PI) (* (PI) 1/4))
(* (PI) 1/4)
1/4
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
2
Outputs
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))
1/3
#s(literal 1/3 binary64)
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(acos.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))
(/ (* 1/18 x) (* y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
1/18
#s(literal 1/18 binary64)
x
(* y z)
(*.f64 y z)
y
z
(sqrt t)
(sqrt.f64 t)
t
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))))
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))
(* x (* (sqrt t) 1/18))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
x
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
t
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (PI) (* (PI) 1/4))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))) (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
1/3
#s(literal 1/3 binary64)
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (PI) (* (PI) 1/4))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))
(* x (* (sqrt t) 1/18))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
x
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
t
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
2
#s(literal 2 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(+ (* (sqrt t) (/ x (* y z))) 0)
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
(* (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))
(* x (* (sqrt t) 1/18))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
x
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt t)
(sqrt.f64 t)
t
1/18
#s(literal 1/18 binary64)
(* y z)
(*.f64 y z)
y
z
(* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64)) #s(literal 1/12 binary64) #s(literal 0 binary64)))
1/3
#s(literal 1/3 binary64)
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (PI) (* (PI) 1/4))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize1.7s (5%)

Memory
31.5MiB live, 507.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
accuracy99.4%
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
accuracy90.7%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy99.6%
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy98.4%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
accuracy95.4%
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy99.6%
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
accuracy99.4%
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
accuracy90.7%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy99.6%
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
accuracy99.4%
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
accuracy98.5%
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
accuracy90.7%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) x)
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
accuracy95.4%
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))
accuracy92.4%
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
Samples
124.0ms256×0valid
Compiler

Compiled 712 to 53 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
const: 30.0ms (34.7% of total)
ival-mult: 24.0ms (27.7% of total)
ival-div: 11.0ms (12.7% of total)
ival-add: 6.0ms (6.9% of total)
ival-pow2: 5.0ms (5.8% of total)
ival-asin: 4.0ms (4.6% of total)
ival-acos: 2.0ms (2.3% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.2%)

Memory
-23.5MiB live, 135.1MiB allocated
Counts
22 → 888
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))>
#<alt (acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))>
#<alt (/ (* 1/18 x) (* y z))>
#<alt (* 1/18 x)>
#<alt (* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))>
#<alt (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))>
#<alt (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))>
#<alt (PI)>
#<alt (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))>
#<alt (/ (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))) (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))>
#<alt (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))>
#<alt (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)>
#<alt (/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))>
#<alt (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))>
#<alt (* (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))))>
#<alt (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))>
#<alt (* (/ (* 1/18 x) (* y z)) (sqrt t))>
#<alt (/ (* x (* (sqrt t) 1/18)) (* y z))>
#<alt (* (sqrt t) 1/18)>
#<alt (* x (* (sqrt t) 1/18))>
#<alt (/ x (* y z))>
#<alt (+ (* (sqrt t) (/ x (* y z))) 0)>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt 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 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (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 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<alt (* 1/18 x)>
#<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 (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* 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 (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))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* 1/18 (* (sqrt t) x))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
Calls

222 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
1.0ms
t
@0
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
1.0ms
t
@-inf
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
1.0ms
t
@inf
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
1.0ms
z
@inf
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))

rewrite801.0ms (2.3%)

Memory
-1.9MiB live, 818.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 962×accelerator-lowering-fma.f32
4 962×accelerator-lowering-fma.f64
4 058×/-lowering-/.f32
4 058×/-lowering-/.f64
3 530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051274
1271274
22323274
08177268
Stop Event
iter limit
node limit
Counts
22 → 1 471
Calls
Call 1
Inputs
(* 1/3 (acos (* (/ (* 1/18 x) (* y z)) (sqrt t))))
(acos (* (/ (* 1/18 x) (* y z)) (sqrt t)))
(/ (* 1/18 x) (* y z))
(* 1/18 x)
(* (/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(/ 1/3 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))
(PI)
(* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(/ (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))) (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(* (/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z))))) (* 1/3 (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))))
(/ 1 (+ (* (PI) 1/2) (asin (/ (* x (* (sqrt t) 1/18)) (* y z)))))
(* (/ (* 1/18 x) (* y z)) (sqrt t))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* (sqrt t) 1/18)
(* x (* (sqrt t) 1/18))
(/ x (* y z))
(+ (* (sqrt t) (/ x (* y z))) 0)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))))
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(-.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) (/.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (sqrt.f64 t)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z) #s(literal 0 binary64))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) (*.f64 (sqrt.f64 t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y z) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 x y) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 x (sqrt.f64 t)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x (sqrt.f64 t)) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t)))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(/.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (neg.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (*.f64 y z) x))
(/.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (*.f64 y z) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(/.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) z)
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) z)
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
(/.f64 (-.f64 (*.f64 (sqrt.f64 t) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (*.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (*.f64 y z) #s(literal 0 binary64))) (*.f64 (*.f64 y z) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 z #s(literal 0 binary64))) (*.f64 z (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 z #s(literal 0 binary64))) (*.f64 z (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 z #s(literal 0 binary64))) (*.f64 z (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 y #s(literal 0 binary64))) (*.f64 y (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sqrt.f64 t)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sqrt.f64 t)) y)) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z)) (neg.f64 y))
(/.f64 (-.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))))
(pow.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(*.f64 (fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)) (/.f64 (*.f64 y z) (*.f64 x (sqrt.f64 t))))
(*.f64 (*.f64 x (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z))

simplify716.0ms (2.1%)

Memory
6.5MiB live, 555.0MiB allocated
Algorithm
egg-herbie
Rules
3 488×*-lowering-*.f32
3 488×*-lowering-*.f64
3 256×accelerator-lowering-fma.f32
3 256×accelerator-lowering-fma.f64
2 084×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06916340
114116084
237816020
3149716020
4345116020
5504316020
6691116020
0805315396
Stop Event
iter limit
node limit
Counts
888 → 888
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))))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
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(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(/ 1 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* 1/18 (sqrt t))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
(* 1/18 (* (sqrt t) x))
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(* 1/18 (* (sqrt t) x))
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(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(/ x (* y z))
(/ x (* y z))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
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(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))

eval4.0s (11.6%)

Memory
34.0MiB live, 1 544.0MiB allocated
Compiler

Compiled 241 867 to 8 286 computations (96.6% saved)

prune532.0ms (1.5%)

Memory
8.8MiB live, 1 317.3MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5 08145 085
Fresh101
Picked145
Done000
Total5 08385 091
Accuracy
100.0%
Counts
5 091 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
97.0%
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
98.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
97.0%
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
97.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
97.0%
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 314 to 190 computations (39.5% saved)

simplify1.9s (5.6%)

Memory
-12.6MiB live, 930.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
cost-diff0
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
cost-diff64
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
cost-diff0
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
cost-diff64
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff0
(pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64)))
cost-diff192
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
cost-diff384
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
Rules
29 200×accelerator-lowering-fma.f32
29 200×accelerator-lowering-fma.f64
4 362×*-lowering-*.f32
4 362×*-lowering-*.f64
1 616×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059711
1141701
2326701
3807701
41842701
52843701
64105701
75154701
86516701
97496701
107561701
117586701
127646701
137786701
147790701
157790701
08380684
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
1
(* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)
(+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))
(PI)
1/2
(asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))
(+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)
(* 1/18 (sqrt t))
1/18
(sqrt t)
t
(/ x (* y z))
x
(* y z)
y
z
0
3
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(* (PI) (* (PI) 1/4))
(* (PI) 1/4)
1/4
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(* x (* (sqrt t) 1/18))
(* (sqrt t) 1/18)
2
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)) (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
(- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2))
(* (PI) (* (PI) 1/4))
(PI)
(* (PI) 1/4)
1/4
(pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)
(asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))
(+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)
(* 1/18 (sqrt t))
1/18
(sqrt t)
t
(/ x (* y z))
x
(* y z)
y
z
0
2
(* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)
(+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))
1/2
3
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(* (PI) (PI))
(PI)
1/12
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
1/18
(+ (* (sqrt t) (/ x (* y z))) 0)
(sqrt t)
t
(/ x (* y z))
x
(* y z)
y
z
0
2
-1/3
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
1/2
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(* 1/18 (* x (sqrt t)))
(* x (sqrt t))
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(* (PI) (PI))
(PI)
1/12
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
1/18
(+ (* (sqrt t) (/ x (* y z))) 0)
(sqrt t)
t
(/ x (* y z))
x
(* y z)
y
z
0
2
-1/3
(+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)))
(* (sqrt (PI)) (sqrt (PI)))
(sqrt (PI))
1/2
Outputs
(* (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 0 binary64))
(/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))
1
#s(literal 1 binary64)
(* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)
(fma.f64 #s(literal 3 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 3/2 binary64) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
1/18
#s(literal 1/18 binary64)
(sqrt t)
(sqrt.f64 t)
t
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
0
#s(literal 0 binary64)
3
#s(literal 3 binary64)
(- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (PI) (* (PI) 1/4))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)
(pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (/ (* x (* (sqrt t) 1/18)) (* y z)))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
(* x (* (sqrt t) 1/18))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* (sqrt t) 1/18)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
2
#s(literal 2 binary64)
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)) (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 0 binary64))
(- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2))
(-.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)))
(* (PI) (* (PI) 1/4))
(fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(PI)
(PI.f64)
(* (PI) 1/4)
(fma.f64 (PI.f64) #s(literal 1/4 binary64) #s(literal 0 binary64))
1/4
#s(literal 1/4 binary64)
(pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)
(pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
(* 1/18 (sqrt t))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
1/18
#s(literal 1/18 binary64)
(sqrt t)
(sqrt.f64 t)
t
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
(* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)
(fma.f64 #s(literal 3 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 3/2 binary64) #s(literal 0 binary64)))
(+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
3
#s(literal 3 binary64)
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(+ (* (sqrt t) (/ x (* y z))) 0)
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
1/2
#s(literal 1/2 binary64)
(asin (/ (* 1/18 (* x (sqrt t))) (* y z)))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
(* 1/18 (* x (sqrt t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(* x (sqrt t))
(*.f64 (sqrt.f64 t) x)
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(fma.f64 (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal -1/4 binary64) #s(literal 0 binary64)) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 0 binary64))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (fma.f64 (PI.f64) (fma.f64 (PI.f64) #s(literal 1/12 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (PI) (PI))
(fma.f64 (PI.f64) (PI.f64) #s(literal 0 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)
(fma.f64 (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))
(pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2)
(pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))
(asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))
(asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))
1/18
#s(literal 1/18 binary64)
(+ (* (sqrt t) (/ x (* y z))) 0)
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
(sqrt t)
(sqrt.f64 t)
t
(/ x (* y z))
(/.f64 x (*.f64 y z))
x
(* y z)
(*.f64 y z)
y
z
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
-1/3
#s(literal -1/3 binary64)
(+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))
(* (sqrt (PI)) (sqrt (PI)))
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
1/2
#s(literal 1/2 binary64)

localize442.0ms (1.3%)

Memory
23.6MiB live, 430.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy98.4%
(sqrt.f64 (PI.f64))
accuracy95.4%
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy98.4%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64)))
accuracy95.4%
(fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy90.7%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
accuracy95.4%
(fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy95.4%
(fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))
accuracy92.5%
(/.f64 x (*.f64 y z))
accuracy90.7%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
Samples
217.0ms256×0valid
Compiler

Compiled 754 to 61 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-asin: 44.0ms (30.6% of total)
ival-mult: 27.0ms (18.8% of total)
ival-sub: 26.0ms (18.1% of total)
ival-add: 13.0ms (9% of total)
ival-div: 11.0ms (7.7% of total)
const: 10.0ms (7% of total)
ival-pow2: 7.0ms (4.9% of total)
ival-sqrt: 4.0ms (2.8% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series161.0ms (0.5%)

Memory
-29.1MiB live, 47.3MiB allocated
Counts
19 → 720
Calls
Call 1
Inputs
#<alt (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))>
#<alt (* (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))>
#<alt (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))>
#<alt (PI)>
#<alt (/ (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)) (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))>
#<alt (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2))>
#<alt (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)>
#<alt (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)>
#<alt (/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))>
#<alt (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))>
#<alt (* (sqrt (PI)) (sqrt (PI)))>
#<alt (/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))>
#<alt (/ (* x (* (sqrt t) 1/18)) (* y z))>
#<alt (/ x (* y z))>
#<alt (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)>
#<alt (* 1/18 (sqrt t))>
#<alt (/ (* 1/18 (* x (sqrt t))) (* y z))>
#<alt (+ (* (sqrt t) (/ x (* y z))) 0)>
#<alt (sqrt (PI))>
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 (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 (+ (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 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))>
#<alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* 1/18 (sqrt t))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
#<alt (* (sqrt t) (/ x (* y z)))>
Calls

180 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
0.0ms
t
@-inf
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)) (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
0.0ms
x
@-inf
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
0.0ms
t
@-inf
(/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
0.0ms
x
@0
(* (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))

rewrite755.0ms (2.2%)

Memory
8.0MiB live, 1 144.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 680×accelerator-lowering-fma.f32
4 680×accelerator-lowering-fma.f64
4 186×*-lowering-*.f32
4 186×*-lowering-*.f64
3 410×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059296
1364246
22409246
08226239
Stop Event
iter limit
node limit
Counts
19 → 1 555
Calls
Call 1
Inputs
(/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
(* (/ 1 (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3)) (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)))
(+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)))
(PI)
(/ (- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)) (* (+ (* (PI) 1/2) (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0))) 3))
(- (* (PI) (* (PI) 1/4)) (pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2))
(pow (asin (+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)) 2)
(+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (PI) 1/2) (asin (/ (* 1/18 (* x (sqrt t))) (* y z)))))
(+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0))
(* (sqrt (PI)) (sqrt (PI)))
(/ (+ (* (* (PI) (PI)) 1/12) (+ (* (pow (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0)) 2) -1/3) 0)) (+ (* (* (sqrt (PI)) (sqrt (PI))) 1/2) (asin (+ (* 1/18 (+ (* (sqrt t) (/ x (* y z))) 0)) 0))))
(/ (* x (* (sqrt t) 1/18)) (* y z))
(/ x (* y z))
(+ (* (* 1/18 (sqrt t)) (/ x (* y z))) 0)
(* 1/18 (sqrt t))
(/ (* 1/18 (* x (sqrt t))) (* y z))
(+ (* (sqrt t) (/ x (* y z))) 0)
(sqrt (PI))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))))
(/.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 3 binary64))
(/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))))))
(+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) #s(literal 1/12 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) #s(literal 0 binary64)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 t) t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 t) (/.f64 x y)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 z #s(literal 0 binary64))) (*.f64 z (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) #s(literal 0 binary64))) (*.f64 (/.f64 (*.f64 y z) x) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) (*.f64 z #s(literal 0 binary64))) (*.f64 z (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 x (/.f64 (sqrt.f64 t) z))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64)))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y)) (neg.f64 z))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) #s(literal 0 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t))) (neg.f64 (/.f64 (*.f64 y z) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 t))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (sqrt.f64 t))) (neg.f64 z))
(pow.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) t) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64))))
(*.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 y z)) (/.f64 x (*.f64 y z))) t #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))

simplify418.0ms (1.2%)

Memory
-10.3MiB live, 942.8MiB allocated
Algorithm
egg-herbie
Rules
3 798×*-lowering-*.f32
3 798×*-lowering-*.f64
3 436×accelerator-lowering-fma.f32
3 436×accelerator-lowering-fma.f64
2 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05413976
111413768
233113716
3124313716
4303413716
5518613716
6705313716
0821913188
Stop Event
iter limit
node limit
Counts
720 → 720
Calls
Call 1
Inputs
(/ 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 (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))
(/ 1/3 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* 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))))
(/ 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))))
(/ 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 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))
(* (sqrt t) (/ x (* y z)))
(fma.f64 (sqrt.f64 t) (/.f64 x (fma.f64 y z #s(literal 0 binary64))) #s(literal 0 binary64))

eval1.1s (3.1%)

Memory
-48.3MiB live, 1 862.2MiB allocated
Compiler

Compiled 233 287 to 8 654 computations (96.3% saved)

prune624.0ms (1.8%)

Memory
6.7MiB live, 1 282.1MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4 65724 659
Fresh000
Picked404
Done224
Total4 66344 667
Accuracy
100.0%
Counts
4 667 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
98.5%
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
97.0%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 662 to 189 computations (71.5% saved)

regimes70.0ms (0.2%)

Memory
-34.7MiB live, 157.5MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (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))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)))) #s(literal 3 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64) (fma.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 1/18 binary64) (fma.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (sqrt.f64 t))) (*.f64 z (*.f64 #s(literal 54 binary64) y))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/3 binary64))))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
Calls

13 calls:

9.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
7.0ms
(sqrt.f64 t)
6.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
5.0ms
z
5.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes29.0ms (0.1%)

Memory
-1.3MiB live, 77.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (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))))
Outputs
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
Calls

13 calls:

3.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
2.0ms
x
2.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes22.0ms (0.1%)

Memory
-19.6MiB live, 59.5MiB allocated
Accuracy

Total -1.0b remaining (-103.3%)

Threshold costs -1b (-103.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Calls

13 calls:

3.0ms
z
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
y
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify8.0ms (0%)

Memory
21.3MiB live, 21.3MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02343
12843
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64)))) #s(literal -1 binary64))
(/.f64 (acos.f64 (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 0 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)))))

soundness634.0ms (1.8%)

Memory
6.1MiB live, 435.2MiB allocated
Rules
6 068×*-lowering-*.f32
6 068×*-lowering-*.f64
4 962×accelerator-lowering-fma.f32
4 962×accelerator-lowering-fma.f64
4 700×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049228
1226220
21719220
08627220
059296
1364246
22409246
08226239
0291496
1611484
21901476
37151476
425291476
544171476
662061476
080651476
051274
1271274
22323274
08177268
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 123 to 83 computations (32.5% saved)

preprocess44.0ms (0.1%)

Memory
13.0MiB live, 87.7MiB allocated
Remove

(sort y z)

Compiler

Compiled 262 to 178 computations (32.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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