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

Time bar (total: 24.2s)

analyze506.0ms (2.1%)

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

Compiled 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-mult: 106.0ms (45.8% of total)
ival-div: 66.0ms (28.5% of total)
ival-sqrt: 26.0ms (11.2% of total)
ival-acos: 24.0ms (10.4% of total)
const: 8.0ms (3.5% of total)
backward-pass: 1.0ms (0.4% of total)

sample5.0s (20.8%)

Results
2.5s15748×0invalid
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-div: 1.3s (47.5% of total)
ival-mult: 883.0ms (33.5% of total)
ival-sqrt: 224.0ms (8.5% of total)
ival-acos: 193.0ms (7.3% of total)
const: 74.0ms (2.8% of total)
backward-pass: 9.0ms (0.3% of total)
Bogosity

preprocess191.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
2044×*-lowering-*.f32
2044×*-lowering-*.f64
1430×associate-*r/
1388×fma-define
1316×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092263
1281227
2988197
33692197
44386197
55771197
67648197
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Call 2
Inputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
Outputs
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t)))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))))
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ (neg x) (* y 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* (neg y) 27))) (* z 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* (neg z) 2)) (sqrt t)))))
(* (acos (* (sqrt t) (* -1/18 (/ (/ x y) z)))) -1/3)
(neg (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt (neg t))))))
(* (acos (* (* 1/18 (/ (/ x y) z)) (sqrt (neg t)))) -1/3)
(* (/ 1 3) (acos (* (/ (* 3 (/ y (* x 27))) (* z 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ y x) z)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ z (* y 27))) (* x 2)) (sqrt t))))
(* 1/3 (acos (* (sqrt t) (* 1/18 (/ (/ z y) x)))))
(* (/ 1 3) (acos (* (/ (* 3 (/ t (* y 27))) (* z 2)) (sqrt x))))
(* 1/3 (acos (* (* 1/18 (/ (/ t y) z)) (sqrt x))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* z 27))) (* y 2)) (sqrt t))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* t 27))) (* z 2)) (sqrt y))))
(* 1/3 (acos (* (* 1/18 (/ (/ x t) z)) (sqrt y))))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* t 2)) (sqrt z))))
(* 1/3 (acos (* (* 1/18 (/ (/ x y) t)) (sqrt z))))
Symmetry

(sort y z)

explain221.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-2(2.126478529693736e-121 -5.681796505591476e+200 -1.832738199004071e-103 4.0919891065921246e-258)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
71(-2.562192462221215e-209 -2.519813737617943e+200 -1.0664768148258726e-44 1.3200117659173205e+88)2(113968840420.63918 -4.884459387404825e+243 -4.291456918074711e+76 3.544512800916655e+174)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
01(1.4827677618001279e-206 -3.042133194606204e+116 6.837139052250086e+140 4.2396406324381244e-193)0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-t
Results
164.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 16.0ms (35.7% of total)
ival-div: 14.0ms (31.3% of total)
ival-acos: 8.0ms (17.9% of total)
ival-sqrt: 4.0ms (8.9% of total)
const: 2.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 17 to 13 computations (23.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.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))))
▶96.0%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify129.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
✓cost-diff128
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
✓cost-diff128
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
✓cost-diff0
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
✓cost-diff0
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Rules
2044×*-lowering-*.f32
2044×*-lowering-*.f64
1186×associate-*l/
1120×associate-*r*
1096×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

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

localize199.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.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))))
✓accuracy98.1%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
✓accuracy91.9%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
✓accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
✓accuracy93.5%
(/.f64 (*.f64 x (sqrt.f64 t)) z)
✓accuracy91.8%
(/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y)
Results
129.0ms256×0valid
Compiler

Compiled 155 to 27 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 22.0ms (44.9% of total)
ival-div: 11.0ms (22.4% of total)
...c/correct-round.rkt:119:19: 7.0ms (14.3% of total)
ival-acos: 5.0ms (10.2% of total)
ival-sqrt: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.2%)

Counts
11 → 408
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))>
#<alt (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))>
#<alt (* 1/18 (/ (/ (* x (sqrt t)) z) y))>
#<alt (/ (/ (* x (sqrt t)) z) y)>
#<alt (/ 1 3)>
#<alt (/ (* 3 (/ x (* y 27))) (* z 2))>
#<alt (* 3 (/ x (* y 27)))>
#<alt (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))>
#<alt (/ (* x (sqrt t)) z)>
#<alt (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))>
#<alt (/ x (* y 27))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (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)))))>
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#<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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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* 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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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
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#<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 (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
Calls

102 calls:

TimeVariablePointExpression
11.0ms
t
@0
(/ (/ (* x (sqrt t)) z) y)
3.0ms
y
@0
(* 3 (/ x (* y 27)))
3.0ms
t
@-inf
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
2.0ms
x
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
1.0ms
z
@0
(* 1/18 (/ (/ (* x (sqrt t)) z) y))

rewrite390.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
5482×*-lowering-*.f32
5482×*-lowering-*.f64
3118×/-lowering-/.f32
3118×/-lowering-/.f64
1776×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026103
19195
259089
3534789
0896189
Stop Event
1×iter limit
1×node limit
Counts
11 → 836
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (/ (/ (* x (sqrt t)) z) y))))
(acos (* 1/18 (/ (/ (* x (sqrt t)) z) y)))
(* 1/18 (/ (/ (* x (sqrt t)) z) y))
(/ (/ (* x (sqrt t)) z) y)
(/ 1 3)
(/ (* 3 (/ x (* y 27))) (* z 2))
(* 3 (/ x (* y 27)))
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
(/ (* x (sqrt t)) z)
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
(/ x (* y 27))
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
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(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/9 binary64) (/.f64 y x)))))
(*.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 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 54 binary64) y) x)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 27 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 3 binary64))))
(*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) (pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) z) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(*.f64 (/.f64 x (*.f64 z (*.f64 #s(literal 54 binary64) y))) (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal -1/9 binary64))) (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (/.f64 y x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (/.f64 (sqrt.f64 t) z))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 27 binary64) (/.f64 x y))) z))
(*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 27 binary64))))))
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) (sqrt.f64 t)))
(*.f64 #s(literal 3/2 binary64) (pow.f64 (/.f64 z (/.f64 (sqrt.f64 t) (/.f64 #s(literal 27 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
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(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (*.f64 #s(literal 54 binary64) y)) x)) #s(literal 3 binary64))
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(*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 27 binary64) (/.f64 x y))) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 #s(literal 1/9 binary64) (/.f64 y x)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 #s(literal 54 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) (/.f64 y x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.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 #s(literal 1/9 binary64) (/.f64 y x)))))
(*.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 #s(literal 9 binary64) (/.f64 x y))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z #s(literal 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 3 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z (/.f64 x (*.f64 y #s(literal 27 binary64))))) (/.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 x (*.f64 y #s(literal 27 binary64))))))
(*.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 (sqrt.f64 t) (/.f64 z #s(literal 3 binary64))) (/.f64 x (*.f64 #s(literal 54 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x (*.f64 y #s(literal 27 binary64))))) #s(literal 3/2 binary64))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (/.f64 (/.f64 x (*.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 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) z))
(*.f64 (*.f64 (/.f64 x z) #s(literal 3/2 binary64)) (/.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 (sqrt.f64 t) z) #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z)) #s(literal 3/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 #s(literal 9 binary64) (/.f64 x y))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 18 binary64) (/.f64 x y))) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 54 binary64) y))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/27 binary64) y) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 3 binary64))) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.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 (sqrt.f64 t) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -27 binary64))) (/.f64 x (*.f64 y #s(literal -27 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 27 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -27 binary64)))
(/.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 27 binary64) x))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -27 binary64)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 #s(literal 1/27 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -27 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 27 binary64))) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (neg.f64 (/.f64 x #s(literal 27 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/27 binary64) x) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/27 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 27 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x #s(literal 27 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/27 binary64))
(*.f64 (/.f64 x #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 #s(literal -1/27 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify304.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
3462×*-lowering-*.f32
3462×*-lowering-*.f64
1878×/-lowering-/.f32
1878×/-lowering-/.f64
1484×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0373888
1843840
22833828
310503828
424763828
550953828
672303828
082893828
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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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))
(* 1/9 (/ x y))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 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))))))
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Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.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))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* 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 (* y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* (sqrt t) (/ x z))
(/.f64 (*.f64 (sqrt.f64 t) x) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(* 1/27 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))

eval175.0ms (0.7%)

Compiler

Compiled 21614 to 4012 computations (81.4% saved)

prune164.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New124041244
Fresh000
Picked202
Done000
Total124241246
Accuracy
98.5%
Counts
1246 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.9%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
▶98.0%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
▶97.9%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
▶98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Compiler

Compiled 143 to 84 computations (41.3% saved)

simplify231.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64))
✓cost-diff6400
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
✓cost-diff0
(sqrt.f64 t)
✓cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Rules
2450×fma-define
2194×*-lowering-*.f32
2194×*-lowering-*.f64
2096×sum5-define
1676×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044563
197556
2233554
3509550
41110550
52320550
64729550
77651550
08306550
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
1/3
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
t
(* (/ x z) (/ 1/18 y))
(/ x z)
x
z
(/ 1/18 y)
1/18
y
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
2
1/3
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
3
1/3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(/ (PI) 2)
2
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(/ (PI) 2)
(PI)
2
1/3
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
0
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
Outputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))))
1/3
#s(literal 1/3 binary64)
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(acos.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x)))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))
(sqrt t)
(sqrt.f64 t)
t
(* (/ x z) (/ 1/18 y))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x))
(/ x z)
(/.f64 x z)
x
z
(/ 1/18 y)
(/.f64 #s(literal 1/18 binary64) y)
1/18
#s(literal 1/18 binary64)
y
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 2 binary64))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 2 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x)))))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 3 binary64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -8 binary64))) (/.f64 #s(literal -1/3 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 3 binary64))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)
(pow.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal 3 binary64))
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x)))))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y
3
#s(literal 3 binary64)
1/3
#s(literal 1/3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(+.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal -1/3 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(*.f64 (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))) #s(literal -1/3 binary64))
(- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))))
0
#s(literal 0 binary64)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x)))))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y (*.f64 (sqrt.f64 t) x))))
(/ 1/18 (/ (/ z (sqrt t)) x))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (*.f64 (sqrt.f64 t) x)))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y

localize396.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
✓accuracy94.6%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.4%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy94.6%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy99.2%
(/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x))
✓accuracy98.5%
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
✓accuracy94.6%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy99.5%
(/.f64 #s(literal 1/18 binary64) y)
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
✓accuracy98.1%
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
✓accuracy91.2%
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
Results
256.0ms256×0valid
Compiler

Compiled 591 to 44 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-pow: 35.0ms (30% of total)
ival-mult: 24.0ms (20.6% of total)
ival-div: 20.0ms (17.1% of total)
compiled-spec: 12.0ms (10.3% of total)
...c/correct-round.rkt:119:19: 8.0ms (6.9% of total)
ival-add: 4.0ms (3.4% of total)
ival-sub: 4.0ms (3.4% of total)
ival-acos: 3.0ms (2.6% of total)
ival-sqrt: 3.0ms (2.6% of total)
ival-asin: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series115.0ms (0.5%)

Counts
22 → 708
Calls
Call 1
Inputs
#<alt (* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))>
#<alt (acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))>
#<alt (* (sqrt t) (* (/ x z) (/ 1/18 y)))>
#<alt (sqrt t)>
#<alt (/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))>
#<alt (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))>
#<alt (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (* (/ x z) (/ 1/18 y))>
#<alt (/ 1/18 y)>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (/ 1/18 (/ (/ z (sqrt t)) x))>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
#<alt (* 1/18 (* (sqrt t) (/ x z)))>
Calls

177 calls:

TimeVariablePointExpression
23.0ms
x
@0
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
9.0ms
z
@inf
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
8.0ms
z
@-inf
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
4.0ms
y
@-inf
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
3.0ms
z
@0
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))

rewrite505.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3914×/-lowering-/.f32
3914×/-lowering-/.f64
3318×*-lowering-*.f32
3318×*-lowering-*.f64
1690×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044217
1280211
22505211
08927211
Stop Event
1×iter limit
1×node limit
Counts
22 → 1295
Calls
Call 1
Inputs
(* 1/3 (acos (* (sqrt t) (* (/ x z) (/ 1/18 y)))))
(acos (* (sqrt t) (* (/ x z) (/ 1/18 y))))
(* (sqrt t) (* (/ x z) (/ 1/18 y)))
(sqrt t)
(/ (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2)) 1/3)
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 2))
(/ (* (PI) (PI)) 4)
(/ (* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) (+ (/ (PI) 2) (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))))))
(* (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3)) 1/3)
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(+ (* (/ (PI) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(/ (PI) 2)
(PI)
(* (/ x z) (/ 1/18 y))
(/ 1/18 y)
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ (/ z (sqrt t)) x)
(/ 1/18 (/ (/ z (sqrt t)) x))
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(+.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64)))) (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (-.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))) #s(literal 1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (PI.f64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (-.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64))))) (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 3 binary64))) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 3 binary64))) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (+.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 3 binary64))) #s(literal 1/27 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (-.f64 (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))) (*.f64 (PI.f64) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/216 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 3 binary64))) #s(literal 1/27 binary64))) (+.f64 (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 t) (/.f64 z x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (sqrt.f64 t) x))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) x))))
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(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 t) x)))
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(/.f64 (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
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(pow.f64 (/.f64 (/.f64 z x) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
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(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z)))
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(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 t)))
(*.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 t)))
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(*.f64 (/.f64 z (pow.f64 t #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 t #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) z) (sqrt.f64 t)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z x)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) (pow.f64 t #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))))
(*.f64 (/.f64 (sqrt.f64 t) z) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))) x)
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) z) (pow.f64 t #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) x))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x (pow.f64 t #s(literal -1/2 binary64))))
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(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x))
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(*.f64 (/.f64 x (pow.f64 t #s(literal -1/2 binary64))) (/.f64 #s(literal 1/18 binary64) z))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))

simplify443.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
4532×*-lowering-*.f32
4532×*-lowering-*.f64
1390×sum3-define
1058×+-lowering-+.f64
1058×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08512536
121011896
255111844
3155811844
4336311844
5687711844
0805411844
Stop Event
1×iter limit
1×node limit
Counts
708 → 708
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/ 1/18 y)
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(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
(/ 1/18 y)
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Outputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) y)
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(* 1/18 (* (sqrt t) (/ x z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))

eval1.0s (4.2%)

Compiler

Compiled 194465 to 9358 computations (95.2% saved)

prune402.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New426934272
Fresh000
Picked314
Done000
Total427244276
Accuracy
100.0%
Counts
4276 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
▶98.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
▶100.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
✓98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Compiler

Compiled 110 to 78 computations (29.1% saved)

simplify142.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))
✓cost-diff128
(*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64))
✓cost-diff6400
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff0
(*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff64
(neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64)))
✓cost-diff6272
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
✓cost-diff128
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
Rules
2272×*-lowering-*.f32
2272×*-lowering-*.f64
1786×sum3-define
1630×fma-define
1544×fnmadd-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
041361
1100354
2237354
3496354
41032354
52124353
64540352
08110352
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(PI)
1/36
(* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)
(pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2)
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(sqrt t)
t
(/ 1/18 (* (/ z x) y))
1/18
(* (/ z x) y)
(/ z x)
z
x
y
2
1/9
(+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(* (PI) 1/6)
1/6
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
1/3
(+ (* (PI) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(PI)
1/6
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(sqrt t)
t
(/ 1/18 (* (/ z x) y))
1/18
(* (/ z x) y)
(/ z x)
z
x
y
1/3
(+ (* (/ (cbrt (* (PI) (* (PI) (PI)))) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
2
1/3
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
0
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
1/18
(/ (/ z (sqrt t)) x)
(/ z (sqrt t))
z
(sqrt t)
t
x
y
Outputs
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(/.f64 (+.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (+.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9))
(+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 2 binary64)) #s(literal -1/9 binary64)))
(* (* (PI) (PI)) 1/36)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/36
#s(literal 1/36 binary64)
(* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)
(*.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 2 binary64))
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* (/ z x) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x))
1/18
#s(literal 1/18 binary64)
(* (/ z x) y)
(/.f64 (*.f64 z y) x)
(/ z x)
(/.f64 z x)
z
x
y
2
#s(literal 2 binary64)
1/9
#s(literal 1/9 binary64)
(+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 1/3 binary64)))
(* (PI) 1/6)
(*.f64 (PI.f64) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(+ (* (PI) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal -1/3 binary64)))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal -1/3 binary64))
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal 1/3 binary64))
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* (/ z x) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 z y) x))
1/18
#s(literal 1/18 binary64)
(* (/ z x) y)
(/.f64 (*.f64 z y) x)
(/ z x)
(/.f64 z x)
z
x
y
1/3
#s(literal 1/3 binary64)
(+ (* (/ (cbrt (* (PI) (* (PI) (PI)))) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal -1/3 binary64)))
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
2
#s(literal 2 binary64)
1/3
#s(literal 1/3 binary64)
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)) #s(literal -1/3 binary64))
(- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)))
(-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)))
0
#s(literal 0 binary64)
(asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y))
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t)))) y)
(/ 1/18 (/ (/ z (sqrt t)) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (/.f64 z (sqrt.f64 t))))
1/18
#s(literal 1/18 binary64)
(/ (/ z (sqrt t)) x)
(/.f64 (/.f64 z x) (sqrt.f64 t))
(/ z (sqrt t))
(/.f64 z (sqrt.f64 t))
z
(sqrt t)
(sqrt.f64 t)
t
x
y

localize290.0ms (1.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy94.6%
(/.f64 (/.f64 z (sqrt.f64 t)) x)
✓accuracy91.8%
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)
✓accuracy98.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
✓accuracy98.2%
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))
✓accuracy98.1%
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))
✓accuracy91.0%
(*.f64 (/.f64 z x) y)
✓accuracy98.4%
(*.f64 (PI.f64) #s(literal 1/6 binary64))
✓accuracy98.2%
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))
✓accuracy98.1%
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))
✓accuracy91.0%
(*.f64 (/.f64 z x) y)
Results
217.0ms256×0valid
Compiler

Compiled 398 to 41 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
...c/correct-round.rkt:119:19: 20.0ms (19.7% of total)
ival-mult: 19.0ms (18.7% of total)
ival-div: 18.0ms (17.7% of total)
compiled-spec: 11.0ms (10.8% of total)
ival-sqrt: 9.0ms (8.9% of total)
ival-add: 8.0ms (7.9% of total)
ival-asin: 4.0ms (3.9% of total)
ival-sub: 3.0ms (3% of total)
ival-pow: 3.0ms (3% of total)
ival-cbrt: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series49.0ms (0.2%)

Counts
19 → 540
Calls
Call 1
Inputs
#<alt (/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))>
#<alt (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9))>
#<alt (* (* (PI) (PI)) 1/36)>
#<alt (* (PI) (PI))>
#<alt (+ (* (PI) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))>
#<alt (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))>
#<alt (PI)>
#<alt (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (+ (* (/ (cbrt (* (PI) (* (PI) (PI)))) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))>
#<alt (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)>
#<alt (/ (cbrt (* (PI) (* (PI) (PI)))) 2)>
#<alt (* (/ z x) y)>
#<alt (* (sqrt t) (/ 1/18 (* (/ z x) y)))>
#<alt (/ 1/18 (* (/ z x) y))>
#<alt (* (PI) 1/6)>
#<alt (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)>
#<alt (/ (/ z (sqrt t)) x)>
#<alt (* (PI) (* (PI) (PI)))>
Outputs
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
#<alt (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))>
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#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 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 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
#<alt (* (sqrt (/ 1 t)) (/ z x))>
Calls

135 calls:

TimeVariablePointExpression
20.0ms
y
@inf
(+ (* (PI) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
2.0ms
t
@0
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
1.0ms
t
@-inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
1.0ms
t
@inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
1.0ms
z
@inf
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))

rewrite965.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3628×*-lowering-*.f32
3628×*-lowering-*.f64
2728×/-lowering-/.f32
2728×/-lowering-/.f64
1430×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041204
1259158
22234158
08694158
Stop Event
1×iter limit
1×node limit
Counts
19 → 859
Calls
Call 1
Inputs
(/ (- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9)) (+ (* (PI) 1/6) (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(- (* (* (PI) (PI)) 1/36) (* (pow (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 2) 1/9))
(* (* (PI) (PI)) 1/36)
(* (PI) (PI))
(+ (* (PI) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(PI)
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(cbrt (* (PI) (* (PI) (PI))))
(+ (* (/ (cbrt (* (PI) (* (PI) (PI)))) 2) 1/3) (* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3))
(* (- 0 (asin (/ (/ 1/18 (/ (/ z (sqrt t)) x)) y))) 1/3)
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(* (/ z x) y)
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(/ 1/18 (* (/ z x) y))
(* (PI) 1/6)
(/ (/ 1/18 (/ (/ z (sqrt t)) x)) y)
(/ (/ z (sqrt t)) x)
(* (PI) (* (PI) (PI)))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
(+.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64))) (+.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))))
(-.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 0 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal 1/3 binary64))))))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 z x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x)) y))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 x z) (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) x)
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64)))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64))))
(/.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/3 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 (PI.f64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (PI.f64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (PI.f64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))) y))
(/.f64 #s(literal 1/18 binary64) (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x)) y)))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t))) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t)))))))
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
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(/.f64 #s(literal -1/18 binary64) (neg.f64 (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t))))))
(/.f64 #s(literal -1/18 binary64) (*.f64 y (/.f64 (/.f64 z (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal 1/18 binary64))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 z x) (sqrt.f64 t)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 z (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x)))
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(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 z x) (sqrt.f64 t)))
(pow.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal 1/18 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (/.f64 y #s(literal 1/18 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (/.f64 z x) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 z (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t))) (*.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 z (sqrt.f64 t))) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 x (/.f64 z (sqrt.f64 t))))
(*.f64 (pow.f64 (/.f64 y #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 z (sqrt.f64 t)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 z (sqrt.f64 t)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 z (*.f64 (sqrt.f64 t) x))
(/.f64 (/.f64 z x) (sqrt.f64 t))
(/.f64 (/.f64 z (sqrt.f64 t)) x)
(/.f64 (/.f64 z (sqrt.f64 t)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 z (sqrt.f64 t))))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (neg.f64 (*.f64 (sqrt.f64 t) x)))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 t) z))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64))))
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (sqrt.f64 t) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) x))
(/.f64 (neg.f64 (/.f64 z x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 (sqrt.f64 t) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t)) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(pow.f64 (/.f64 (/.f64 z x) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 z (sqrt.f64 t))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 z (/.f64 (pow.f64 t #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 z x) (pow.f64 t #s(literal -1/2 binary64)))
(*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (sqrt.f64 t)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 z (sqrt.f64 t)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 t))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))

simplify333.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
4394×*-lowering-*.f32
4394×*-lowering-*.f64
1476×/-lowering-/.f32
1476×/-lowering-/.f64
1250×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0567948
11397660
23647596
311067596
432807596
554577596
675367596
081067596
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(/ (* 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)
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(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
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(/ (* 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)
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
(* (sqrt (/ 1 t)) (/ z x))
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Outputs
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal 2 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/36 binary64)))) (+.f64 (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)) #s(literal -1/3 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
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(/.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 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z)) y)
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))
(* (sqrt (/ 1 t)) (/ z x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 z x))

eval409.0ms (1.7%)

Compiler

Compiled 82028 to 4934 computations (94% saved)

prune4.3s (17.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New223022232
Fresh000
Picked303
Done011
Total223332236
Accuracy
100.0%
Counts
2236 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
▶96.8%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
✓98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Compiler

Compiled 63 to 49 computations (22.2% saved)

simplify48.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff64
(neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64)))
✓cost-diff6272
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff0
(asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x))))
✓cost-diff0
(*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff6272
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
Rules
420×*-lowering-*.f32
420×*-lowering-*.f64
396×fnmadd-define
310×fma-define
244×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030167
169167
2154167
3283167
4449167
5601167
6787167
7939167
81290167
91506167
101576167
01576167
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3))
(PI)
1/6
(* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3)
(asin (/ (sqrt t) (/ (* z y) (* 1/18 x))))
(/ (sqrt t) (/ (* z y) (* 1/18 x)))
(sqrt t)
t
(/ (* z y) (* 1/18 x))
(* z y)
z
y
(* 1/18 x)
1/18
x
-1/3
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/6
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(sqrt t)
t
(/ 1/18 (* (/ z x) y))
1/18
(* (/ z x) y)
(/ z x)
z
x
y
1/3
Outputs
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)))))
(PI)
(PI.f64)
1/6
#s(literal 1/6 binary64)
(* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))))
(asin (/ (sqrt t) (/ (* z y) (* 1/18 x))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)))
(/ (sqrt t) (/ (* z y) (* 1/18 x)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))
(sqrt t)
(sqrt.f64 t)
t
(/ (* z y) (* 1/18 x))
(/.f64 (/.f64 (*.f64 z y) x) #s(literal 1/18 binary64))
(* z y)
(*.f64 z y)
z
y
(* 1/18 x)
(*.f64 #s(literal 1/18 binary64) x)
1/18
#s(literal 1/18 binary64)
x
-1/3
#s(literal -1/3 binary64)
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)))))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/6
#s(literal 1/6 binary64)
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))))
(* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)
(*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))) #s(literal 1/3 binary64))
(asin (* (sqrt t) (/ 1/18 (* (/ z x) y))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y)))
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))
(sqrt t)
(sqrt.f64 t)
t
(/ 1/18 (* (/ z x) y))
(/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 y x)) z)
1/18
#s(literal 1/18 binary64)
(* (/ z x) y)
(/.f64 (*.f64 z y) x)
(/ z x)
(/.f64 z x)
z
x
y
1/3
#s(literal 1/3 binary64)

localize172.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy98.2%
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y))
✓accuracy98.1%
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))
✓accuracy91.0%
(*.f64 (/.f64 z x) y)
✓accuracy99.3%
(*.f64 #s(literal 1/18 binary64) x)
✓accuracy98.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
✓accuracy97.4%
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))
✓accuracy87.9%
(/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x))
Results
133.0ms256×0valid
Compiler

Compiled 187 to 29 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 20.0ms (28.8% of total)
...c/correct-round.rkt:119:19: 19.0ms (27.3% of total)
ival-div: 8.0ms (11.5% of total)
compiled-spec: 7.0ms (10.1% of total)
ival-asin: 4.0ms (5.8% of total)
ival-add: 3.0ms (4.3% of total)
ival-sqrt: 3.0ms (4.3% of total)
ival-cbrt: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.1%)

Counts
14 → 456
Calls
Call 1
Inputs
#<alt (+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3))>
#<alt (PI)>
#<alt (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3)>
#<alt (asin (/ (sqrt t) (/ (* z y) (* 1/18 x))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))>
#<alt (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (* z y) (* 1/18 x))>
#<alt (/ (sqrt t) (/ (* z y) (* 1/18 x)))>
#<alt (* 1/18 x)>
#<alt (* (/ z x) y)>
#<alt (* (sqrt t) (/ 1/18 (* (/ z x) y)))>
#<alt (/ 1/18 (* (/ z x) y))>
Outputs
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (- (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 18 (/ (* y z) x))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 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 (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (/ (* y z) x)>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 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)))>
Calls

114 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
(/ (* z y) (* 1/18 x))
1.0ms
t
@-inf
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3))
0.0ms
x
@-inf
(* 1/18 x)
0.0ms
z
@0
(/ (* z y) (* 1/18 x))
0.0ms
x
@0
(/ (* z y) (* 1/18 x))

rewrite311.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
5724×*-lowering-*.f32
5724×*-lowering-*.f64
1994×/-lowering-/.f32
1994×/-lowering-/.f64
1218×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030116
1159116
21187116
09104116
Stop Event
1×iter limit
1×node limit
Counts
14 → 963
Calls
Call 1
Inputs
(+ (* (PI) 1/6) (* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3))
(PI)
(* (asin (/ (sqrt t) (/ (* z y) (* 1/18 x)))) -1/3)
(asin (/ (sqrt t) (/ (* z y) (* 1/18 x))))
(cbrt (* (PI) (* (PI) (PI))))
(+ (* (cbrt (* (PI) (* (PI) (PI)))) 1/6) (neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3)))
(neg (* (asin (* (sqrt t) (/ 1/18 (* (/ z x) y)))) 1/3))
(* (PI) (* (PI) (PI)))
(/ (* z y) (* 1/18 x))
(/ (sqrt t) (/ (* z y) (* 1/18 x)))
(* 1/18 x)
(* (/ z x) y)
(* (sqrt t) (/ 1/18 (* (/ z x) y)))
(/ 1/18 (* (/ z x) y))
Outputs
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64))))
(+.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))))) (+.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64))) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))))
(+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))))))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (-.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)) (+.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x)))))) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)))))
(-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal 1/3 binary64)) (*.f64 (PI.f64) #s(literal -1/6 binary64))))
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(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal -1/18 binary64)) x)
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simplify244.0ms (1%)

Algorithm
1×egg-herbie
Rules
4258×*-lowering-*.f32
4258×*-lowering-*.f64
2186×/-lowering-/.f32
2186×/-lowering-/.f64
1242×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0405092
1915032
22584992
38354992
426824992
546664992
665924992
081734992
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 18 (/ (* y z) x))
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Outputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (*.f64 #s(literal -1/3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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eval315.0ms (1.3%)

Compiler

Compiled 41806 to 4461 computations (89.3% saved)

prune245.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New164611647
Fresh000
Picked112
Done011
Total164731650
Accuracy
100.0%
Counts
1650 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal -1/3 binary64)))
✓96.8%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
✓98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Compiler

Compiled 365 to 144 computations (60.5% saved)

regimes59.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 (/.f64 #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))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal -1/3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))))))
Outputs
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal -1/3 binary64)))
Calls

13 calls:

7.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
6.0ms
x
5.0ms
(sqrt.f64 t)
4.0ms
t
4.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes36.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 (/.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))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) y)))) #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z (sqrt.f64 t)) x)) y))) #s(literal 1/3 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
Calls

13 calls:

4.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
z
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)

regimes7.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(sqrt.f64 t)
1.0ms
t
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
96.0%1x
96.0%1y
96.0%1z
96.0%1t
96.0%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03247
14047
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
Outputs
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64) (*.f64 (asin.f64 (/.f64 (sqrt.f64 t) (/.f64 y (/.f64 #s(literal 1/18 binary64) (/.f64 z x))))) #s(literal -1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 x (sqrt.f64 t)) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) y))))

soundness5.7s (23.5%)

Rules
5724×*-lowering-*.f32
5724×*-lowering-*.f64
5482×*-lowering-*.f32
5482×*-lowering-*.f64
3914×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044217
1280211
22505211
08927211
026103
19195
259089
3534789
0896189
030116
1159116
21187116
09104116
041204
1259158
22234158
08694158
01917
13915
211713
339213
4138613
5314813
6324013
7329013
8329013
9329013
10391313
11395213
12395213
0395213
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 127 to 94 computations (26% saved)

preprocess53.0ms (0.2%)

Compiler

Compiled 290 to 208 computations (28.3% saved)

end0.0ms (0%)

Profiling

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