Statistics.Math.RootFinding:ridders from math-functions-0.1.5.2

Time bar (total: 11.5s)

analyze421.0ms (3.7%)

Memory
4.6MiB live, 435.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
25%24.9%74.8%0.2%0%0%0%6
25%24.9%74.8%0.2%0%0%0%7
25%24.9%74.8%0.2%0%0%0%8
37.5%37.4%62.3%0.2%0%0%0%9
40.6%40.5%59.2%0.2%0%0%0%10
51.7%48.3%45.2%0.2%0%6.2%0%11
51.7%48.3%45.2%0.2%0%6.2%0%12
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.5s (12.9%)

Memory
-17.9MiB live, 2 399.3MiB allocated
Samples
913.0ms8 256×0valid
193.0ms2 053×0invalid
Precisions
Click to see histograms. Total time spent on operations: 714.0ms
ival-mult: 454.0ms (63.6% of total)
ival-sqrt: 128.0ms (17.9% of total)
ival-sub: 61.0ms (8.5% of total)
ival-div: 59.0ms (8.3% of total)
ival-true: 7.0ms (1% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess150.0ms (1.3%)

Memory
2.7MiB live, 191.0MiB allocated
Algorithm
egg-herbie
Rules
1 536×unsub-neg
1 196×div-sub
1 182×times-frac
1 014×associate-/l*
866×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094299
1260299
2625299
31669299
44342299
56479299
01214
12414
25214
38214
411214
514014
618914
724214
842214
996614
10129514
11216414
12318014
13337014
14339214
15339214
0339214
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
Outputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(/.f64 (fma.f64 x (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 t a #s(literal 0 binary64))))))
Call 2
Inputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a))))
(/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a))))
(/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a)))))
(neg (/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a)))))
(neg (/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a)))))
(neg (/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a)))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a)))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a))))))
(/ (* (* y x) z) (sqrt (- (* z z) (* t a))))
(/ (* (* z y) x) (sqrt (- (* x x) (* t a))))
(/ (* (* t y) z) (sqrt (- (* z z) (* x a))))
(/ (* (* a y) z) (sqrt (- (* z z) (* t x))))
(/ (* (* x z) y) (sqrt (- (* y y) (* t a))))
(/ (* (* x t) z) (sqrt (- (* z z) (* y a))))
(/ (* (* x a) z) (sqrt (- (* z z) (* t y))))
(/ (* (* x y) t) (sqrt (- (* t t) (* z a))))
(/ (* (* x y) a) (sqrt (- (* a a) (* t z))))
(/ (* (* x y) z) (sqrt (- (* z z) (* a t))))
Outputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a))))
(/ (* x (* y (neg z))) (sqrt (- (* z z) (* t a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a))))
(/ (* x (* y z)) (sqrt (+ (* z z) (* t a))))
(/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a)))))
(/ (* x (* y z)) (sqrt (+ (* z z) (* t a))))
(neg (/ (* (* (neg x) y) z) (sqrt (- (* z z) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x (neg y)) z) (sqrt (- (* z z) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x y) (neg z)) (sqrt (- (* (neg z) (neg z)) (* t a)))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* (neg t) a)))))
(/ (* x (* y (neg z))) (sqrt (+ (* z z) (* t a))))
(neg (/ (* (* x y) z) (sqrt (- (* z z) (* t (neg a))))))
(/ (* x (* y (neg z))) (sqrt (+ (* z z) (* t a))))
(/ (* (* y x) z) (sqrt (- (* z z) (* t a))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
(/ (* (* z y) x) (sqrt (- (* x x) (* t a))))
(/ (* x (* y z)) (sqrt (- (* x x) (* t a))))
(/ (* (* t y) z) (sqrt (- (* z z) (* x a))))
(/ (* y (* z t)) (sqrt (- (* z z) (* x a))))
(/ (* (* a y) z) (sqrt (- (* z z) (* t x))))
(/ (* y (* z a)) (sqrt (- (* z z) (* x t))))
(/ (* (* x z) y) (sqrt (- (* y y) (* t a))))
(/ (* x (* y z)) (sqrt (- (* y y) (* t a))))
(/ (* (* x t) z) (sqrt (- (* z z) (* y a))))
(/ (* x (* z t)) (sqrt (- (* z z) (* y a))))
(/ (* (* x a) z) (sqrt (- (* z z) (* t y))))
(/ (* x (* z a)) (sqrt (- (* z z) (* y t))))
(/ (* (* x y) t) (sqrt (- (* t t) (* z a))))
(/ (* (* x y) a) (sqrt (- (* a a) (* t z))))
(/ (* x (* y a)) (sqrt (- (* a a) (* z t))))
(/ (* (* x y) z) (sqrt (- (* z z) (* a t))))
(/ (* x (* y z)) (sqrt (- (* z z) (* t a))))
Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

(sort t a)

explain138.0ms (1.2%)

Memory
44.8MiB live, 353.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1010-0-(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
350-2(1.963511106497254e-221 196781849015746.8 1.255153063655028e-105 -1.609296242615892e+132 2.4767330369912692e-188)(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
190-2(1.5103627757748839e-260 1.6199120262308704e-53 1.1853541318457732e+231 -2.8725614428406124e-11 -5.868830468255796e-258)(*.f64 (*.f64 x y) z)
70-0-(-.f64 (*.f64 z z) (*.f64 t a))
00-0-a
00-0-t
00-0-z
00-0-(*.f64 x y)
00-0-(*.f64 z z)
00-0-y
00-0-(*.f64 t a)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))oflow-rescue950
(-.f64 (*.f64 z z) (*.f64 t a))overflow95
(*.f64 t a)overflow30
(*.f64 z z)overflow81
/.f64(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))o/n290
(*.f64 x y)overflow31
(*.f64 (*.f64 x y) z)overflow54
*.f64(*.f64 (*.f64 x y) z)n*u110
-.f64(-.f64 (*.f64 z z) (*.f64 t a))nan-rescue70
(*.f64 z z)overflow81
(*.f64 t a)overflow30
*.f64(*.f64 (*.f64 x y) z)n*o60
sqrt.f64(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))uflow-rescue60
(-.f64 (*.f64 z z) (*.f64 t a))underflow6
(*.f64 t a)underflow42
(*.f64 z z)underflow47
/.f64(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))u/n40
(*.f64 x y)underflow27
(*.f64 (*.f64 x y) z)underflow35
Confusion
Predicted +Predicted -
+992
-19136
Precision
0.8389830508474576
Recall
0.9801980198019802
Confusion?
Predicted +Predicted MaybePredicted -
+9902
-190136
Precision?
0.8389830508474576
Recall?
0.9801980198019802
Freqs
test
numberfreq
0138
183
230
35
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 138 to 52 computations (62.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (47.2% of total)
ival-div: 6.0ms (23.6% of total)
ival-sqrt: 4.0ms (15.7% of total)
ival-sub: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.7%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify84.0ms (0.7%)

Memory
-16.4MiB live, 155.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (*.f64 x y) z)
cost-diff0
(-.f64 (*.f64 z z) (*.f64 t a))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Rules
816×accelerator-lowering-fma.f32
816×accelerator-lowering-fma.f64
760×*-lowering-*.f32
760×*-lowering-*.f64
652×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
12448
25248
38248
411248
514048
618948
724248
842248
996648
10129548
11216448
12318048
13337048
14339248
15339248
0339248
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(* (* x y) z)
(* x y)
x
y
z
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* z z)
(* t a)
t
a
Outputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(/.f64 (fma.f64 x (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 t a #s(literal 0 binary64))))))
(* (* x y) z)
(fma.f64 x (fma.f64 y z #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
z
(sqrt (- (* z z) (* t a)))
(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 t a #s(literal 0 binary64)))))
(- (* z z) (* t a))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 t a #s(literal 0 binary64))))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(* t a)
(fma.f64 t a #s(literal 0 binary64))
t
a

localize264.0ms (2.3%)

Memory
-25.9MiB live, 94.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy97.8%
(-.f64 (*.f64 z z) (*.f64 t a))
accuracy93.4%
(*.f64 (*.f64 x y) z)
accuracy87.7%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy63.2%
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
Samples
32.0ms256×0valid
Compiler

Compiled 50 to 14 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 11.0ms (55.6% of total)
ival-mult: 6.0ms (30.3% of total)
ival-sqrt: 2.0ms (10.1% of total)
ival-sub: 1.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series175.0ms (1.5%)

Memory
17.9MiB live, 56.8MiB allocated
Counts
4 → 168
Calls
Call 1
Inputs
#<alt (/ (* (* x y) z) (sqrt (- (* z z) (* t a))))>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (- (* z z) (* t a))>
#<alt (* (* x y) z)>
Outputs
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))>
#<alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))>
#<alt (* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))>
#<alt (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))>
#<alt (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))>
#<alt (+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))>
#<alt z>
#<alt (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))>
#<alt (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))>
#<alt (+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))>
#<alt (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))>
#<alt (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))>
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))>
#<alt (* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))>
#<alt z>
#<alt (+ z (* -1/2 (/ (* a t) z)))>
#<alt (+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))>
#<alt (+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))>
#<alt (* -1 (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (- (pow z 2) (* a t))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (* -1 (* a t))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* t (- (/ (pow z 2) t) a))>
#<alt (* -1 (* a t))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))>
#<alt (pow z 2)>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (+ (* -1 (* a t)) (pow z 2))>
#<alt (* -1 (* a t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* a (- (/ (pow z 2) a) t))>
#<alt (* -1 (* a t))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>
#<alt (* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
Calls

42 calls:

TimeVariablePointExpression
142.0ms
t
@-inf
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
t
@-inf
(sqrt (- (* z z) (* t a)))
2.0ms
x
@0
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms
z
@0
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
2.0ms
t
@inf
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))

rewrite1.2s (10.4%)

Memory
-17.1MiB live, 627.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 222×*-lowering-*.f32
4 222×*-lowering-*.f64
3 334×accelerator-lowering-fma.f32
3 334×accelerator-lowering-fma.f64
2 738×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
14934
231334
3269334
0840734
Stop Event
iter limit
node limit
Counts
4 → 378
Calls
Call 1
Inputs
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* (* x y) z)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (neg.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))))
(neg.f64 (neg.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))))))
(/.f64 (*.f64 x y) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z)))))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z)))
(/.f64 (/.f64 (*.f64 x (*.f64 y z)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y)) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 (/.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (*.f64 x (*.f64 y z)))) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (/.f64 (*.f64 x (*.f64 y z)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y z)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x y))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(pow.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))) (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) (*.f64 x (*.f64 y z))))) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))))
(*.f64 y (/.f64 (*.f64 x z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(*.f64 (*.f64 x y) (/.f64 z (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(*.f64 z (/.f64 (*.f64 x y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 z z (*.f64 t a))) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (fma.f64 z z (*.f64 t a)))) (*.f64 (/.f64 (*.f64 t (*.f64 a (*.f64 t a))) (fma.f64 z z (*.f64 t a))) (/.f64 (*.f64 t (*.f64 a (*.f64 t a))) (fma.f64 z z (*.f64 t a)))))) (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 z z (*.f64 t a))) (/.f64 (*.f64 t (*.f64 a (*.f64 t a))) (fma.f64 z z (*.f64 t a))))))
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(pow.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))))))
(*.f64 (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
(*.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 t a))))
(*.f64 (fma.f64 z z (*.f64 t a)) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 t a)))))
(*.f64 (fma.f64 z z (*.f64 t a)) (/.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))))))
(*.f64 (*.f64 (fma.f64 z z (*.f64 t a)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 t a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z)))) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 t a))) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 t a))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))))) (fma.f64 (*.f64 t a) (-.f64 (*.f64 t a) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))))
(*.f64 (/.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a)))) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (fma.f64 (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a)))) (*.f64 (*.f64 (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a)))) (*.f64 t a)) (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))) (fma.f64 (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a)))) (-.f64 (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a)))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (*.f64 (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))))))) (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z z (*.f64 t a)) (*.f64 (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 t (*.f64 a (*.f64 t a))) (fma.f64 t (*.f64 a (*.f64 t a)) (*.f64 (*.f64 z z) (*.f64 z z)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z z (*.f64 t a)) (*.f64 (fma.f64 t (*.f64 a (*.f64 t a)) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 a (*.f64 t a)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))) (*.f64 (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 t (*.f64 a (fma.f64 z z (*.f64 t a))) (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 (*.f64 z z) (*.f64 z z))) (*.f64 (*.f64 t (*.f64 t a)) (*.f64 a (*.f64 t a))))))
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(*.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))) (fma.f64 z z (*.f64 t a))))) (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 z z (*.f64 t a))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(*.f64 x (*.f64 y z))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(*.f64 x (*.f64 (*.f64 y z) #s(literal 1 binary64)))
(*.f64 y (*.f64 x z))
(*.f64 y (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) z)
(*.f64 (*.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(*.f64 (*.f64 x y) (*.f64 z #s(literal 1 binary64)))
(*.f64 z (*.f64 x y))
(*.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(*.f64 z (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 (*.f64 y z) x)
(*.f64 (*.f64 y z) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 x z) y)
(*.f64 (*.f64 x z) (*.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (*.f64 x y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 y z))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y))) z)

simplify420.0ms (3.6%)

Memory
46.2MiB live, 760.6MiB allocated
Algorithm
egg-herbie
Rules
8 704×*-lowering-*.f32
8 704×*-lowering-*.f64
7 510×accelerator-lowering-fma.f32
7 510×accelerator-lowering-fma.f64
1 846×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04953591
116093519
264783501
082663389
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
Outputs
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 y (*.f64 x (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(*.f64 z (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t))))) (*.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
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z
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(* (sqrt (* a t)) (sqrt -1))
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(* (sqrt (* a t)) (sqrt -1))
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(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(*.f64 z (*.f64 z (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 t (*.f64 z z)) #s(literal 1 binary64))))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* t (- (/ (pow z 2) t) a))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(* t (- (/ (pow z 2) t) a))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(*.f64 t (-.f64 (/.f64 (*.f64 z z) t) a))
(pow z 2)
(*.f64 z z)
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(+ (* -1 (* a t)) (pow z 2))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 a t)))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* a (- (/ (pow z 2) a) t))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* a (- (/ (pow z 2) a) t))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* -1 (* a t))
(-.f64 #s(literal 0 binary64) (*.f64 a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(*.f64 a (-.f64 (/.f64 (*.f64 z z) a) t))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* x (* y z))
(*.f64 x (*.f64 y z))

eval77.0ms (0.7%)

Memory
17.4MiB live, 125.5MiB allocated
Compiler

Compiled 22 115 to 1 793 computations (91.9% saved)

prune131.0ms (1.1%)

Memory
9.0MiB live, 242.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New53610546
Fresh000
Picked101
Done000
Total53710547
Accuracy
95.4%
Counts
547 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
57.9%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
37.6%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
40.9%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
65.2%
(/.f64 (*.f64 (*.f64 x y) z) z)
60.9%
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
58.9%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
59.8%
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
70.9%
(*.f64 x y)
Compiler

Compiled 342 to 226 computations (33.9% saved)

simplify169.0ms (1.5%)

Memory
6.3MiB live, 312.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 t a))
cost-diff0
(fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))
cost-diff0
(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
cost-diff0
(/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
cost-diff-64
(*.f64 (*.f64 x z) y)
cost-diff0
(-.f64 (*.f64 z z) (*.f64 t a))
cost-diff0
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
cost-diff0
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 a t))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
cost-diff-128
(*.f64 (*.f64 x y) z)
cost-diff0
(*.f64 x y)
cost-diff1152
(/.f64 (*.f64 (*.f64 x y) z) z)
cost-diff0
(*.f64 x y)
Rules
3 320×*-lowering-*.f32
3 320×*-lowering-*.f64
3 010×neg-lowering-neg.f64
3 010×neg-lowering-neg.f32
2 848×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026159
163159
2124159
3186159
4511159
51432159
63014159
08316159
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x y)
x
y
(/ (* (* x y) z) z)
(* (* x y) z)
(* x y)
x
y
z
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
(* (* x y) z)
(* x y)
x
y
z
(sqrt (- 0 (* a t)))
(- 0 (* a t))
0
(* a t)
a
t
(/ (* (* x z) y) (sqrt (- (* z z) (* t a))))
(* (* x z) y)
(* x z)
x
z
y
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* z z)
(* t a)
t
a
(* (* y z) (/ x (sqrt (+ (* z z) (- 0 (* t a))))))
(* y z)
y
z
(/ x (sqrt (+ (* z z) (- 0 (* t a)))))
x
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
(- 0 (* t a))
0
(* t a)
t
a
Outputs
(* x y)
(*.f64 x y)
x
y
(/ (* (* x y) z) z)
(*.f64 x y)
(* (* x y) z)
(fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(*.f64 x y)
x
y
z
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
(/.f64 (fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))))
(* (* x y) z)
(fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(*.f64 x y)
x
y
z
(sqrt (- 0 (* a t)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))
(- 0 (* a t))
(-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* a t)
(fma.f64 a t #s(literal 0 binary64))
a
t
(/ (* (* x z) y) (sqrt (- (* z z) (* t a))))
(/.f64 (fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))))
(* (* x z) y)
(fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
y
(sqrt (- (* z z) (* t a)))
(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))))
(- (* z z) (* t a))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
(* t a)
(fma.f64 a t #s(literal 0 binary64))
t
a
(* (* y z) (/ x (sqrt (+ (* z z) (- 0 (* t a))))))
(/.f64 (fma.f64 y (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
(/ x (sqrt (+ (* z z) (- 0 (* t a)))))
(/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))))
x
(sqrt (+ (* z z) (- 0 (* t a))))
(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))))
(+ (* z z) (- 0 (* t a)))
(fma.f64 z z (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))
(- 0 (* t a))
(-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* t a)
(fma.f64 a t #s(literal 0 binary64))
t
a

localize325.0ms (2.8%)

Memory
-89.9MiB live, 166.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 t a)
accuracy99.9%
(/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))
accuracy82.6%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
accuracy77.7%
(sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))
accuracy100.0%
(*.f64 t a)
accuracy92.9%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
accuracy92.7%
(*.f64 (*.f64 x z) y)
accuracy77.7%
(sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))
accuracy100.0%
(*.f64 a t)
accuracy96.9%
(*.f64 (*.f64 x y) z)
accuracy96.7%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
accuracy84.1%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))
accuracy100.0%
(*.f64 x y)
accuracy96.9%
(*.f64 (*.f64 x y) z)
accuracy87.6%
(/.f64 (*.f64 (*.f64 x y) z) z)
accuracy100.0%
(*.f64 x y)
Samples
259.0ms84×0invalid
33.0ms172×0valid
Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-mult: 254.0ms (93.9% of total)
ival-div: 7.0ms (2.6% of total)
ival-sqrt: 5.0ms (1.8% of total)
ival-sub: 3.0ms (1.1% of total)
ival-add: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory
0.4MiB live, 79.7MiB allocated
Counts
17 → 624
Calls
Call 1
Inputs
#<alt (* x y)>
#<alt (/ (* (* x y) z) z)>
#<alt (* (* x y) z)>
#<alt (/ (* (* x y) z) (sqrt (- 0 (* a t))))>
#<alt (sqrt (- 0 (* a t)))>
#<alt (- 0 (* a t))>
#<alt (/ (* (* x z) y) (sqrt (- (* z z) (* t a))))>
#<alt (sqrt (- (* z z) (* t a)))>
#<alt (- (* z z) (* t a))>
#<alt (* (* x z) y)>
#<alt (/ x (sqrt (+ (* z z) (- 0 (* t a)))))>
#<alt (sqrt (+ (* z z) (- 0 (* t a))))>
#<alt (+ (* z z) (- 0 (* t a)))>
#<alt (- 0 (* t a))>
#<alt (* a t)>
#<alt (* t a)>
#<alt (* (* y z) (/ x (sqrt (+ (* z z) (- 0 (* t a))))))>
Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
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#<alt (+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (* x y)>
#<alt (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))>
#<alt (+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))>
#<alt (+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))>
Calls

156 calls:

TimeVariablePointExpression
6.0ms
a
@-inf
(/ x (sqrt (+ (* z z) (- 0 (* t a)))))
3.0ms
t
@0
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
1.0ms
a
@0
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
1.0ms
x
@0
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
1.0ms
z
@0
(/ (* (* x y) z) (sqrt (- 0 (* a t))))

rewrite292.0ms (2.5%)

Memory
12.4MiB live, 597.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 340×accelerator-lowering-fma.f32
5 340×accelerator-lowering-fma.f64
3 320×*-lowering-*.f32
3 320×*-lowering-*.f64
2 300×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026116
1151116
2897110
0973998
Stop Event
iter limit
node limit
Counts
17 → 1 574
Calls
Call 1
Inputs
(* x y)
(/ (* (* x y) z) z)
(* (* x y) z)
(/ (* (* x y) z) (sqrt (- 0 (* a t))))
(sqrt (- 0 (* a t)))
(- 0 (* a t))
(/ (* (* x z) y) (sqrt (- (* z z) (* t a))))
(sqrt (- (* z z) (* t a)))
(- (* z z) (* t a))
(* (* x z) y)
(/ x (sqrt (+ (* z z) (- 0 (* t a)))))
(sqrt (+ (* z z) (- 0 (* t a))))
(+ (* z z) (- 0 (* t a)))
(- 0 (* t a))
(* a t)
(* t a)
(* (* y z) (/ x (sqrt (+ (* z z) (- 0 (* t a))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x (*.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 y x)
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 z (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) z))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) z))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) z))
(*.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y z))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (*.f64 x (*.f64 y z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (*.f64 x (*.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 y x)
(*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 z (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 x z) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 y z) (*.f64 x (/.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (*.f64 y z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 z (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (*.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) z))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) z))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) z))
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) z))
(*.f64 (/.f64 (*.f64 x z) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) x)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x z)) (/.f64 y z))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 y z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))))
(*.f64 x (*.f64 y z))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(*.f64 y (*.f64 x z))
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))))
(*.f64 y (*.f64 (*.f64 x z) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) z)
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (*.f64 x z) y)
(*.f64 (*.f64 x z) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y z) x)
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y z)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 x z))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x z))) y)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))) (*.f64 x (*.f64 y z)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))))
(neg.f64 (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))))
(/.f64 (*.f64 x y) (/.f64 (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))) z))
(/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))) (*.f64 x (*.f64 y z))))
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))) (*.f64 x (*.f64 y z))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z)))) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 y z)) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y z))) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a t #s(literal 0 binary64))) (*.f64 x (*.f64 y z))) #s(literal -1 binary64))
(*.f64 x (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (fma.f64 a t #s(literal 0 binary64))))) y) (*.f64 x z))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 z z (fma.f64 a t #s(literal 0 binary64))))) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 y (sqrt.f64 (fma.f64 z z (fma.f64 a t #s(literal 0 binary64))))) z) x)

simplify970.0ms (8.4%)

Memory
1.5MiB live, 652.1MiB allocated
Algorithm
egg-herbie
Rules
6 788×accelerator-lowering-fma.f32
6 788×accelerator-lowering-fma.f64
6 574×*-lowering-*.f32
6 574×*-lowering-*.f64
5 320×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064110396
1212410203
2568910152
087309871
Stop Event
iter limit
node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* x y)
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(* x y)
(* x y)
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(* x y)
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(* -1 (* x y))
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(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* x y)
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
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(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (pow z 2) (pow (sqrt -1) 5)))))))))
z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
(+ z (* a (+ (* -1/2 (/ t z)) (* a (+ (* -1/8 (/ (pow t 2) (pow z 3))) (* -1/16 (/ (* a (pow t 3)) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
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(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* x (* y z))
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(* x (* y z))
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(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
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(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
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(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
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(/ (+ x (* 1/2 (/ (* a (* t x)) (pow z 2)))) z)
(/ (+ x (+ (* -1/2 (/ (* x (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2))))) (pow z 4))) (* 1/2 (/ (* a (* t x)) (pow z 2))))) z)
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(* -1 (/ x z))
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(/ x z)
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
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(/ x z)
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(* (sqrt (/ 1 (* a t))) (* x (sqrt -1)))
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(* (sqrt (* a t)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (* a t)) (sqrt -1)))
(+ (* (sqrt (* a t)) (sqrt -1)) (* (pow z 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (pow z 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a t))) (/ 1 (sqrt -1)))))))
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z
(* z (+ 1 (* -1/2 (/ (* a t) (pow z 2)))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))))))
(* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6)))))))
(* -1 z)
(* -1 (* z (+ 1 (* -1/2 (/ (* a t) (pow z 2))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4)))))))
(* -1 (* z (+ 1 (+ (* -1/2 (/ (* a t) (pow z 2))) (+ (* -1/8 (/ (* (pow a 2) (pow t 2)) (pow z 4))) (* -1/16 (/ (* (pow a 3) (pow t 3)) (pow z 6))))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* t (+ (* -1/2 (/ a z)) (* -1/8 (/ (* (pow a 2) t) (pow z 3))))))
(+ z (* t (+ (* -1/2 (/ a z)) (* t (+ (* -1/8 (/ (pow a 2) (pow z 3))) (* -1/16 (/ (* (pow a 3) t) (pow z 5))))))))
(* (sqrt (* a t)) (sqrt -1))
(* t (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))
(* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
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(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1))))))
(* -1 (* t (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow t 5)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow t 7)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow t 3)))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ a t)) (sqrt -1)))))))
z
(+ z (* -1/2 (/ (* a t) z)))
(+ z (* a (+ (* -1/2 (/ t z)) (* -1/8 (/ (* a (pow t 2)) (pow z 3))))))
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(* (sqrt (* a t)) (sqrt -1))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (/ (pow z 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (/ (pow z 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (/ (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow t 3)))) (* (pow z 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow t 5)))) (* (pow z 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) t))) (* (pow z 2) (sqrt -1)))) (* (sqrt (/ t a)) (sqrt -1)))))))
(* -1 (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(- (pow z 2) (* a t))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ (* a t) (pow z 2)))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* t (- (/ (pow z 2) t) a))
(* -1 (* a t))
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(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(* -1 (* t (- (* -1 (/ (pow z 2) t)) (* -1 a))))
(pow z 2)
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(+ (* -1 (* a t)) (pow z 2))
(* -1 (* a t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* a (- (/ (pow z 2) a) t))
(* -1 (* a t))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a (- (* -1 (/ (pow z 2) a)) (* -1 t))))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
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(* -1 (* a t))
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(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
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(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* -1 (* a t))
(* a t)
(* a t)
(* a t)
(* a t)
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(* a t)
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(* a t)
(* a t)
(* a t)
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 2))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3))))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1))))))))
(* z (+ (* (sqrt (/ 1 (* a t))) (* x (* y (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x y) (sqrt -1)))) (* (pow z 2) (+ (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (* (pow z 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))) (* a (* t (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow t 4))))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a t)) (/ (* x (* y (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow t 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow t 3)))))) (sqrt -1))))))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y)))
(+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (+ (* -1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))) (+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))))
(* -1 (* x y))
(+ (* -1 (* x y)) (* -1/2 (/ (* a (* t (* x y))) (pow z 2))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4)))))
(+ (* -1 (* x y)) (+ (* -1/2 (/ (* a (* t (* x y))) (pow z 2))) (+ (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))) (pow z 4))) (* 1/2 (/ (* x (* y (+ (* -1 (* (pow a 3) (pow t 3))) (* -1/2 (* a (* t (+ (* -1 (* (pow a 2) (pow t 2))) (* 1/4 (* (pow a 2) (pow t 2)))))))))) (pow z 6))))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* (* x (* y z)) (sqrt (/ 1 (- (pow z 2) (* a t)))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))))))) (* 1/2 (/ (* a (* x y)) (pow z 2))))) (* x y))
(+ (* t (+ (* 1/2 (/ (* a (* x y)) (pow z 2))) (* t (+ (* -1/2 (* t (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 3) (pow z 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow a 2) (pow z 6))) (* 1/4 (/ (pow a 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(* x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
Outputs
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* x (* y z))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
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(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 x (*.f64 y z))) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
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z
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z
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow t 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* t (pow z 4)) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow a 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t))))) (/.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 y z) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (pow.f64 z #s(literal 4 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 7 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a t)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* t (pow z 4)) (pow a 3))) (/ (pow z 6) (pow a 4))))))))) (* 1/2 (* (sqrt (/ t (pow a 5))) (* x (* y (* (pow z 5) (sqrt -1))))))) (pow t 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a t)) (*.f64 (*.f64 x y) (*.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 t (pow.f64 z #s(literal 4 binary64))) (*.f64 a (*.f64 a a))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (*.f64 (*.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 5 binary64)))))) (*.f64 t (*.f64 t t))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))))))
(* x y)
(*.f64 x y)
(+ (* 1/2 (/ (* a (* t (* x y))) (pow z 2))) (* x y))
(fma.f64 x y (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a (*.f64 (*.f64 x y) t))) (*.f64 z z)))
(+ (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))))))) (* 1/2 (/ (* t (* x y)) (pow z 2))))) (* x y))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x a) (*.f64 (*.f64 y (*.f64 z z)) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) t)) (*.f64 z z))) (*.f64 x y))
(+ (* a (+ (* 1/2 (/ (* t (* x y)) (pow z 2))) (* a (+ (* -1/2 (* a (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 3) (pow z 8))) (* -1/2 (/ (* t (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6))))) (pow z 2))))))))) (* -1/2 (* x (* y (* (pow z 2) (+ (* -1 (/ (pow t 2) (pow z 6))) (* 1/4 (/ (pow t 2) (pow z 6)))))))))))) (* x y))
(fma.f64 a (fma.f64 a (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x a) (*.f64 (*.f64 y (*.f64 z z)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 t (*.f64 z z)))) (/.f64 (*.f64 t (*.f64 t t)) (pow.f64 z #s(literal 8 binary64))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z z)) (/.f64 (*.f64 (*.f64 t t) #s(literal -3/4 binary64)) (pow.f64 z #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x y) t)) (*.f64 z z))) (*.f64 x y))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (/ (* x (* y (pow z 3))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (/ (* x (* y (pow z 5))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ t (pow a 7))) (/ (* x (* y (* z (+ (* 1/4 (/ (* a (pow z 4)) (* (pow t 3) (pow (sqrt -1) 2)))) (/ (pow z 6) (pow t 4)))))) (sqrt -1)))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t))))) (/.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 z z)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (/.f64 (*.f64 x (*.f64 y (pow.f64 z #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 t (pow.f64 a #s(literal 7 binary64)))) (*.f64 (*.f64 x y) (fma.f64 (/.f64 (*.f64 (*.f64 a (pow.f64 z #s(literal 4 binary64))) #s(literal -1/4 binary64)) (*.f64 t (*.f64 t t))) z (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow t 5)))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 t #s(literal 5 binary64))))) (*.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow t 5))) (* x (* y (* (pow z 5) (sqrt -1)))))) (* 1/2 (* (sqrt (/ t a)) (* x (* y (* z (* (sqrt -1) (+ (* -1/4 (/ (* a (pow z 4)) (pow t 3))) (/ (pow z 6) (pow t 4)))))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow t 3)))) (* x (* y (* (pow z 3) (sqrt -1)))))) (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 t a)) (*.f64 (*.f64 x y) (*.f64 (*.f64 z (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 a (pow.f64 z #s(literal 4 binary64))) (*.f64 t (*.f64 t t))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64)))))) (*.f64 (*.f64 x (*.f64 (*.f64 y (pow.f64 z #s(literal 5 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 a (pow.f64 t #s(literal 5 binary64)))))) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 t (*.f64 t t)))))) (*.f64 x (*.f64 (*.f64 y (*.f64 z (*.f64 z z))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (*.f64 (*.f64 x y) (*.f64 z (sqrt.f64 #s(literal -1 binary64)))))))

eval383.0ms (3.3%)

Memory
16.1MiB live, 582.7MiB allocated
Compiler

Compiled 65 685 to 5 660 computations (91.4% saved)

prune395.0ms (3.4%)

Memory
-27.4MiB live, 795.8MiB allocated
Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New2 603162 619
Fresh235
Picked055
Done000
Total2 605242 629
Accuracy
99.7%
Counts
2 629 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.5%
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
55.7%
(/.f64 (*.f64 (*.f64 y z) x) z)
57.9%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
33.5%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
39.7%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
65.0%
(/.f64 (*.f64 (*.f64 x z) y) z)
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
41.1%
(/.f64 (*.f64 (*.f64 x y) z) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
37.6%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
65.2%
(/.f64 (*.f64 (*.f64 x y) z) z)
70.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
60.9%
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
52.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
71.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
61.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
70.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
58.9%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
35.0%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
45.1%
(*.f64 (*.f64 y z) (/.f64 x z))
59.8%
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
66.9%
(*.f64 (*.f64 x z) (/.f64 y z))
61.2%
(*.f64 z (/.f64 (*.f64 x y) z))
70.9%
(*.f64 x y)
66.8%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
Compiler

Compiled 650 to 451 computations (30.6% saved)

simplify347.0ms (3%)

Memory
28.7MiB live, 379.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) x)
cost-diff0
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) x)
cost-diff1024
(/.f64 (*.f64 (*.f64 y z) x) z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff1024
(*.f64 z (/.f64 (*.f64 x y) z))
cost-diff0
(*.f64 x z)
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
cost-diff1344
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z))
Rules
7 248×*-lowering-*.f32
7 248×*-lowering-*.f64
4 770×associate-/r/
3 198×/-lowering-/.f32
3 198×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023165
158141
213593
325093
483993
5255493
6275093
7276593
8277893
9277893
10277893
11277893
12277893
13529693
14531693
15534493
16537593
17540793
18544193
19597393
20601193
21605193
22609393
23613793
24618393
25623193
26628193
27633393
28638793
29644393
30650193
31656193
32662393
0940893
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (* (/ 1 z) (* x z)) y)
(* (/ 1 z) (* x z))
(/ 1 z)
1
z
(* x z)
x
y
(* z (/ (* x y) z))
z
(/ (* x y) z)
(* x y)
x
y
(/ (* (* y z) x) z)
(* (* y z) x)
(* y z)
y
z
x
(/ 1 (/ 1 (* x y)))
1
(/ 1 (* x y))
(* x y)
x
y
(/ (* (* y z) x) (sqrt (- 0 (* a t))))
(* (* y z) x)
(* y z)
y
z
x
(sqrt (- 0 (* a t)))
(- 0 (* a t))
0
(* a t)
a
t
Outputs
(* (* (/ 1 z) (* x z)) y)
(*.f64 x y)
(* (/ 1 z) (* x z))
x
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* x z)
(*.f64 z x)
x
y
(* z (/ (* x y) z))
(*.f64 x y)
z
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
(/ (* (* y z) x) z)
(*.f64 x y)
(* (* y z) x)
(*.f64 z (*.f64 x y))
(* y z)
(*.f64 z y)
y
z
x
(/ 1 (/ 1 (* x y)))
(*.f64 x y)
1
#s(literal 1 binary64)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
x
y
(/ (* (* y z) x) (sqrt (- 0 (* a t))))
(/.f64 (*.f64 z (*.f64 x y)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))))
(* (* y z) x)
(*.f64 z (*.f64 x y))
(* y z)
(*.f64 z y)
y
z
x
(sqrt (- 0 (* a t)))
(sqrt.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64))))
(- 0 (* a t))
(-.f64 #s(literal 0 binary64) (fma.f64 a t #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* a t)
(fma.f64 a t #s(literal 0 binary64))
a
t

localize87.0ms (0.8%)

Memory
-0.4MiB live, 120.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a t)
accuracy96.7%
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
accuracy94.3%
(*.f64 (*.f64 y z) x)
accuracy84.1%
(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t)))
accuracy100.0%
(*.f64 x y)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy100.0%
(*.f64 y z)
accuracy94.3%
(*.f64 (*.f64 y z) x)
accuracy87.6%
(/.f64 (*.f64 (*.f64 y z) x) z)
accuracy100.0%
(*.f64 x y)
accuracy94.2%
(/.f64 (*.f64 x y) z)
accuracy86.8%
(*.f64 z (/.f64 (*.f64 x y) z))
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
accuracy100.0%
(*.f64 x z)
accuracy81.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z))
Samples
49.0ms172×0valid
13.0ms84×0invalid
Compiler

Compiled 122 to 25 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 13.0ms (52.4% of total)
ival-div: 9.0ms (36.3% of total)
ival-sqrt: 2.0ms (8.1% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-18.8MiB live, 20.1MiB allocated
Counts
15 → 444
Calls
Call 1
Inputs
#<alt (* (/ 1 z) (* x z))>
#<alt (* (* (/ 1 z) (* x z)) y)>
#<alt (/ 1 z)>
#<alt (* x z)>
#<alt (* z (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (/ (* (* y z) x) z)>
#<alt (* (* y z) x)>
#<alt (* y z)>
#<alt (/ 1 (/ 1 (* x y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (* (* y z) x) (sqrt (- 0 (* a t))))>
#<alt (sqrt (- 0 (* a t)))>
#<alt (* a t)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* (sqrt (* a t)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a t)) (sqrt -1)))>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
#<alt (* a t)>
Calls

111 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ 1 (* x y))
0.0ms
x
@0
(/ (* x y) z)
0.0ms
x
@-inf
(* (/ 1 z) (* x z))
0.0ms
y
@0
(/ 1 (* x y))
0.0ms
x
@0
(/ 1 (* x y))

rewrite315.0ms (2.7%)

Memory
-6.9MiB live, 452.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 536×*-lowering-*.f32
2 536×*-lowering-*.f64
1 578×/-lowering-/.f32
1 578×/-lowering-/.f64
1 388×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02395
110883
260959
3506257
0844757
Stop Event
iter limit
node limit
Counts
15 → 1 217
Calls
Call 1
Inputs
(* (/ 1 z) (* x z))
(* (* (/ 1 z) (* x z)) y)
(/ 1 z)
(* x z)
(* z (/ (* x y) z))
(/ (* x y) z)
(* x y)
(/ (* (* y z) x) z)
(* (* y z) x)
(* y z)
(/ 1 (/ 1 (* x y)))
(/ 1 (* x y))
(/ (* (* y z) x) (sqrt (- 0 (* a t))))
(sqrt (- 0 (* a t)))
(* a t)
Outputs
x
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) z))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z x)))
(neg.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (/.f64 (*.f64 z x) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z x)))
(/.f64 z (/.f64 z x))
(/.f64 z (*.f64 #s(literal 1 binary64) (/.f64 z x)))
(/.f64 z (*.f64 (/.f64 z x) #s(literal 1 binary64)))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 z x) z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 z x)))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 z x) #s(literal -1 binary64)))
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(*.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 a a)) (/.f64 (*.f64 a (*.f64 a a)) (*.f64 t t)))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) t) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 t (*.f64 a a) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 t (*.f64 t t)) a) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 t (*.f64 t t)) a))
(*.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 t (*.f64 a a) #s(literal 0 binary64))) (/.f64 (*.f64 t (*.f64 t t)) t))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) a) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) a))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) t) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (fma.f64 t (*.f64 a a) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (fma.f64 t (*.f64 a a) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) t))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (*.f64 a a)) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (*.f64 t t)))
(*.f64 (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (*.f64 t t)) (/.f64 (*.f64 (fma.f64 a t #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a t #s(literal 0 binary64)))) (*.f64 a a)))
(*.f64 (/.f64 a a) (/.f64 (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64)) t))
(*.f64 (/.f64 (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64)) t) (/.f64 a a))
(*.f64 (/.f64 a t) (/.f64 (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64)) a))
(*.f64 (/.f64 (fma.f64 t (fma.f64 a t #s(literal 0 binary64)) #s(literal 0 binary64)) a) (/.f64 a t))
(*.f64 (/.f64 t a) (/.f64 (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) t))
(*.f64 (/.f64 (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) t) (/.f64 t a))
(*.f64 (/.f64 t t) (/.f64 (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) a))
(*.f64 (/.f64 (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) a) (/.f64 t t))
(*.f64 (/.f64 (*.f64 a a) a) (/.f64 (*.f64 t t) t))
(*.f64 (/.f64 (*.f64 t t) t) (/.f64 (*.f64 a a) a))
(*.f64 (/.f64 (*.f64 a a) t) (/.f64 (*.f64 t t) a))
(*.f64 (/.f64 (*.f64 t t) a) (/.f64 (*.f64 a a) t))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 t (fma.f64 t (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (fma.f64 t (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 t (fma.f64 t (*.f64 a a) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 t #s(literal -1 binary64)) a)

simplify70.0ms (0.6%)

Memory
-6.7MiB live, 150.3MiB allocated
Algorithm
egg-herbie
Rules
596×*-lowering-*.f32
596×*-lowering-*.f64
376×associate-*r*
348×associate-*l*
284×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0272300
1592300
21322300
33042300
45452300
56102300
66222300
76332300
87052300
98012300
08012300
Stop Event
iter limit
saturated
Counts
444 → 444
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
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(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
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(* x y)
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(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* 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))
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(* x (* y z))
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(* y z)
(* y z)
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(* y z)
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(* x y)
(* x y)
(* x y)
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* (sqrt (* a t)) (sqrt -1))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(* a t)
(* a t)
(* a t)
(* a t)
(* a t)
(* a t)
(* a t)
(* a t)
(* a t)
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(* a t)
(* a t)
(* a t)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
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(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
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(*.f64 x z)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
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(*.f64 x y)
(* x y)
(*.f64 x y)
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(*.f64 x y)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 (* a t))) (/ (* x (* y z)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (/.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (fma.f64 (*.f64 x y) (fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (fma.f64 (*.f64 x y) (fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (fma.f64 (*.f64 x y) (fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (/ 1 (* a t))) (* x (* y (* z (sqrt -1)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a t))) (fma.f64 (*.f64 x y) (fma.f64 z (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* (sqrt (* a t)) (sqrt -1))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a t)) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* -1 (* (sqrt (* a t)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a t)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)
(* a t)
(*.f64 a t)

eval240.0ms (2.1%)

Memory
41.5MiB live, 462.2MiB allocated
Compiler

Compiled 24 073 to 2 757 computations (88.5% saved)

prune267.0ms (2.3%)

Memory
-5.1MiB live, 521.5MiB allocated
Pruning

43 alts after pruning (34 fresh and 9 done)

PrunedKeptTotal
New1 893261 919
Fresh6814
Picked145
Done055
Total1 900431 943
Accuracy
99.7%
Counts
1 943 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
70.6%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
33.5%
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
65.0%
(/.f64 (*.f64 (*.f64 z x) y) z)
40.2%
(/.f64 (*.f64 (*.f64 y z) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
37.5%
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
55.7%
(/.f64 (*.f64 (*.f64 y z) x) z)
57.9%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
39.7%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
41.1%
(/.f64 (*.f64 (*.f64 x y) z) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
37.6%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
65.2%
(/.f64 (*.f64 (*.f64 x y) z) z)
44.5%
(/.f64 (*.f64 z y) (/.f64 z x))
61.0%
(/.f64 z (/.f64 z (*.f64 x y)))
70.7%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
70.7%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
61.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
70.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
64.7%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
70.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
64.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
70.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
71.6%
(*.f64 (/.f64 (*.f64 z x) z) y)
60.9%
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
66.9%
(*.f64 (/.f64 y z) (*.f64 z x))
45.1%
(*.f64 (/.f64 x z) (*.f64 z y))
71.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
61.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
70.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
68.2%
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z))) (*.f64 x z)) y)
58.9%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
35.0%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
59.8%
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
70.6%
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
55.5%
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
59.0%
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
43.1%
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
61.2%
(*.f64 z (/.f64 (*.f64 x y) z))
60.9%
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
57.4%
(*.f64 z (exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log.f64 z))))
70.9%
(*.f64 x y)
66.9%
(exp.f64 (log.f64 (*.f64 x y)))
Compiler

Compiled 1 137 to 785 computations (31% saved)

simplify195.0ms (1.7%)

Memory
26.1MiB live, 329.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x y))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff1024
(*.f64 (/.f64 #s(literal -1 binary64) z) z)
cost-diff1408
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
cost-diff-64
(*.f64 (*.f64 z x) y)
cost-diff0
(/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z)
cost-diff1024
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
cost-diff1088
(/.f64 (*.f64 (*.f64 z x) y) z)
cost-diff-64
(*.f64 z y)
cost-diff0
(/.f64 z x)
cost-diff1408
(/.f64 (*.f64 z y) (/.f64 z x))
cost-diff-64
(*.f64 z y)
cost-diff0
(/.f64 x z)
cost-diff1024
(*.f64 (/.f64 x z) (*.f64 z y))
cost-diff-64
(*.f64 z x)
cost-diff-64
(*.f64 (/.f64 (*.f64 z x) z) y)
cost-diff1088
(/.f64 (*.f64 z x) z)
Rules
2 402×*-lowering-*.f32
2 402×*-lowering-*.f64
2 306×accelerator-lowering-fma.f32
2 306×accelerator-lowering-fma.f64
2 070×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021139
153137
2130103
337475
4108575
5316975
6613575
7738875
8755975
9770575
10786775
11789575
0801975
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (* z x) z) y)
(/ (* z x) z)
(* z x)
z
x
y
(* (/ x z) (* z y))
(/ x z)
x
z
(* z y)
y
(/ (* z y) (/ z x))
(* z y)
z
y
(/ z x)
x
(* z (/ (/ (* (* z x) y) z) z))
z
(/ (/ (* (* z x) y) z) z)
(/ (* (* z x) y) z)
(* (* z x) y)
(* z x)
x
y
(/ (* (/ -1 z) z) (/ -1 (* x y)))
(* (/ -1 z) z)
(/ -1 z)
-1
z
(/ -1 (* x y))
(* x y)
x
y
Outputs
(* (/ (* z x) z) y)
(fma.f64 x y #s(literal 0 binary64))
(/ (* z x) z)
x
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
y
(* (/ x z) (* z y))
(fma.f64 x y #s(literal 0 binary64))
(/ x z)
(/.f64 x z)
x
z
(* z y)
(fma.f64 z y #s(literal 0 binary64))
y
(/ (* z y) (/ z x))
(fma.f64 x y #s(literal 0 binary64))
(* z y)
(fma.f64 z y #s(literal 0 binary64))
z
y
(/ z x)
(/.f64 z x)
x
(* z (/ (/ (* (* z x) y) z) z))
(fma.f64 x y #s(literal 0 binary64))
z
(/ (/ (* (* z x) y) z) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(/ (* (* z x) y) z)
(fma.f64 x y #s(literal 0 binary64))
(* (* z x) y)
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* z x)
(fma.f64 z x #s(literal 0 binary64))
x
y
(/ (* (/ -1 z) z) (/ -1 (* x y)))
(fma.f64 x y #s(literal 0 binary64))
(* (/ -1 z) z)
#s(literal -1 binary64)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y

localize104.0ms (0.9%)

Memory
-8.6MiB live, 200.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x y)
accuracy99.8%
(*.f64 (/.f64 #s(literal -1 binary64) z) z)
accuracy99.4%
(/.f64 #s(literal -1 binary64) (*.f64 x y))
accuracy99.3%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
accuracy91.7%
(*.f64 (*.f64 z x) y)
accuracy91.5%
(/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z)
accuracy83.2%
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
accuracy82.4%
(/.f64 (*.f64 (*.f64 z x) y) z)
accuracy100.0%
(/.f64 z x)
accuracy100.0%
(*.f64 z y)
accuracy69.5%
(/.f64 (*.f64 z y) (/.f64 z x))
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(*.f64 z y)
accuracy69.8%
(*.f64 (/.f64 x z) (*.f64 z y))
accuracy100.0%
(*.f64 (/.f64 (*.f64 z x) z) y)
accuracy100.0%
(*.f64 z x)
accuracy75.1%
(/.f64 (*.f64 z x) z)
Samples
81.0ms256×0valid
Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 37.0ms (75.5% of total)
ival-mult: 12.0ms (24.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
-14.3MiB live, 26.5MiB allocated
Counts
17 → 480
Calls
Call 1
Inputs
#<alt (/ (* z x) z)>
#<alt (* (/ (* z x) z) y)>
#<alt (* z x)>
#<alt (* (/ x z) (* z y))>
#<alt (/ x z)>
#<alt (* z y)>
#<alt (/ (* z y) (/ z x))>
#<alt (/ z x)>
#<alt (/ (* (* z x) y) z)>
#<alt (* z (/ (/ (* (* z x) y) z) z))>
#<alt (/ (/ (* (* z x) y) z) z)>
#<alt (* (* z x) y)>
#<alt (/ (* (/ -1 z) z) (/ -1 (* x y)))>
#<alt (* (/ -1 z) z)>
#<alt (/ -1 z)>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

120 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(* (/ x z) (* z y))
0.0ms
x
@-inf
(/ x z)
0.0ms
z
@-inf
(/ z x)
0.0ms
x
@0
(/ -1 (* x y))
0.0ms
x
@inf
(/ x z)

rewrite129.0ms (1.1%)

Memory
13.0MiB live, 286.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 438×*-lowering-*.f32
1 438×*-lowering-*.f64
1 262×/-lowering-/.f32
1 262×/-lowering-/.f64
1 174×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02193
110292
265653
0448753
Stop Event
iter limit
iter limit
node limit
Counts
17 → 1 007
Calls
Call 1
Inputs
(/ (* z x) z)
(* (/ (* z x) z) y)
(* z x)
(* (/ x z) (* z y))
(/ x z)
(* z y)
(/ (* z y) (/ z x))
(/ z x)
(/ (* (* z x) y) z)
(* z (/ (/ (* (* z x) y) z) z))
(/ (/ (* (* z x) y) z) z)
(* (* z x) y)
(/ (* (/ -1 z) z) (/ -1 (* x y)))
(* (/ -1 z) z)
(/ -1 z)
(/ -1 (* x y))
(* x y)
Outputs
x
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(neg.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 z (/.f64 z x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 z x) z)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z x))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)) z)
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)) z)
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 z (/.f64 x z))
(*.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) z)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z x))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y)))) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) x)) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 z x) (/.f64 z y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(/.f64 (*.f64 z (*.f64 x y)) z)
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (*.f64 z (*.f64 z (*.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(/.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) z))) (/.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 x y))) #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 x y)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (neg.f64 (*.f64 z (*.f64 z (*.f64 x y)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 x y)
(*.f64 (*.f64 z x) (/.f64 y z))
(*.f64 (*.f64 z x) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z x) (*.f64 (/.f64 y (*.f64 z z)) z))
(*.f64 y x)
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 x z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (/.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z y) (/.f64 x z))
(*.f64 (*.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 z (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))
(*.f64 (*.f64 z (*.f64 x y)) (/.f64 z (*.f64 z z)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x y) z) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x)))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (/.f64 (*.f64 x y) (*.f64 z z)))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (*.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (*.f64 z (*.f64 z x)) (/.f64 y (*.f64 z z)))
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(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 x z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x z) (/.f64 z (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 z y) (/.f64 x z))
(*.f64 (*.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 z (*.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) z))
(*.f64 (*.f64 z (*.f64 x y)) (/.f64 z (*.f64 z z)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 x y) z) z)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 0 binary64) z) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z x)))
(*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 z z) (/.f64 (*.f64 x y) (*.f64 z z)))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 y z))) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (*.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (*.f64 z (*.f64 z x)) (/.f64 y (*.f64 z z)))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) y) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y)) (*.f64 z x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 x y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) x)

simplify39.0ms (0.3%)

Memory
3.2MiB live, 123.2MiB allocated
Algorithm
egg-herbie
Rules
32×*-lowering-*.f32
32×*-lowering-*.f64
20×/-lowering-/.f32
20×/-lowering-/.f64
12×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131560
1221560
2291560
3301560
0301560
Stop Event
iter limit
saturated
Counts
480 → 480
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
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(* x y)
(* x y)
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(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
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(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
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(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* y z)
(*.f64 y z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
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(/ z x)
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(/ z x)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(* x y)
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(*.f64 x y)
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(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x (* y z))
(*.f64 y (*.f64 x z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
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(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval209.0ms (1.8%)

Memory
-15.1MiB live, 401.6MiB allocated
Compiler

Compiled 15 872 to 1 654 computations (89.6% saved)

prune199.0ms (1.7%)

Memory
-15.0MiB live, 313.0MiB allocated
Pruning

49 alts after pruning (35 fresh and 14 done)

PrunedKeptTotal
New1 553121 565
Fresh62329
Picked055
Done099
Total1 559491 608
Accuracy
99.7%
Counts
1 608 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.6%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
33.5%
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
65.0%
(/.f64 (*.f64 (*.f64 z x) y) z)
40.2%
(/.f64 (*.f64 (*.f64 y z) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
37.5%
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
55.7%
(/.f64 (*.f64 (*.f64 y z) x) z)
57.9%
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
67.9%
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
41.1%
(/.f64 (*.f64 (*.f64 x y) z) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
37.6%
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
65.2%
(/.f64 (*.f64 (*.f64 x y) z) z)
37.6%
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
44.5%
(/.f64 (*.f64 z y) (/.f64 z x))
61.0%
(/.f64 z (/.f64 z (*.f64 x y)))
70.7%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
70.7%
(/.f64 x (/.f64 #s(literal 1 binary64) y))
61.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
70.6%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
70.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
64.7%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
70.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
58.9%
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
71.5%
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
46.3%
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
33.9%
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
71.6%
(*.f64 (/.f64 (*.f64 z x) z) y)
60.9%
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
66.9%
(*.f64 (/.f64 y z) (*.f64 z x))
45.1%
(*.f64 (/.f64 x z) (*.f64 z y))
65.2%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
71.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
61.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
32.7%
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
68.2%
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z))) (*.f64 x z)) y)
37.9%
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
36.4%
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
58.9%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
35.0%
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
35.0%
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
59.8%
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
70.6%
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
55.5%
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
49.8%
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
61.2%
(*.f64 z (/.f64 (*.f64 x y) z))
60.9%
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
39.1%
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
57.4%
(*.f64 z (exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log.f64 z))))
70.9%
(*.f64 x y)
66.9%
(exp.f64 (log.f64 (*.f64 x y)))
Compiler

Compiled 1 393 to 671 computations (51.8% saved)

regimes149.0ms (1.3%)

Memory
20.0MiB live, 291.1MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
(/.f64 (*.f64 (*.f64 x y) z) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
(/.f64 (*.f64 (*.f64 y z) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) t)) (sqrt.f64 a)))
(*.f64 (*.f64 x (*.f64 y z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))))
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 z))) (*.f64 x z)) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 z (exp.f64 (-.f64 (log.f64 (*.f64 x y)) (log.f64 z))))
Outputs
(*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x)
(*.f64 x y)
Calls

8 calls:

21.0ms
a
20.0ms
(*.f64 t a)
19.0ms
z
18.0ms
(*.f64 x y)
18.0ms
y
Results
AccuracySegmentsBranch
78.1%3x
79.9%4y
92.7%2z
79.1%3t
78.4%4a
92.3%3(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
79.7%3(*.f64 x y)
85.6%3(*.f64 t a)
Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes19.0ms (0.2%)

Memory
-8.7MiB live, 35.3MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
Outputs
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x y)
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
93.7%3z
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes18.0ms (0.2%)

Memory
-8.0MiB live, 30.4MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Outputs
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x y)
Calls

1 calls:

16.0ms
z
Results
AccuracySegmentsBranch
91.2%2z
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes21.0ms (0.2%)

Memory
-14.9MiB live, 23.4MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Outputs
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
(*.f64 x y)
Calls

1 calls:

18.0ms
z
Results
AccuracySegmentsBranch
90.8%2z
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes44.0ms (0.4%)

Memory
0.6MiB live, 39.2MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 z x) y) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a t))))
(/.f64 (*.f64 (*.f64 x y) z) (fma.f64 a (/.f64 (*.f64 t #s(literal -1/2 binary64)) z) z))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
Outputs
(*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t)))))
(*.f64 x y)
Calls

2 calls:

29.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
14.0ms
z
Results
AccuracySegmentsBranch
81.6%3(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
86.6%2z
Compiler

Compiled 25 to 17 computations (32% saved)

regimes64.0ms (0.6%)

Memory
18.6MiB live, 97.3MiB allocated
Counts
45 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
(/.f64 (*.f64 (*.f64 x z) y) z)
(/.f64 (*.f64 (*.f64 y z) x) z)
(/.f64 (*.f64 (*.f64 z x) y) z)
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) z) (*.f64 x y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y)) z)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x z)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y z)) x)
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 z (/.f64 z (*.f64 x y)))
(/.f64 (*.f64 z y) (/.f64 z x))
(*.f64 (*.f64 x (/.f64 z (*.f64 z z))) (*.f64 z y))
(*.f64 (/.f64 (*.f64 z x) (*.f64 z z)) (*.f64 z y))
(/.f64 (*.f64 z (*.f64 z (*.f64 x y))) (*.f64 z z))
(*.f64 z (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 z x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 z (*.f64 (*.f64 x y) (*.f64 z (/.f64 #s(literal 1 binary64) (*.f64 z z)))))
(*.f64 (*.f64 z (*.f64 z (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 z z)))
(/.f64 (*.f64 (*.f64 x z) y) (sqrt.f64 (*.f64 z z)))
(*.f64 z (/.f64 (*.f64 z x) (*.f64 (/.f64 z y) z)))
(*.f64 z (/.f64 (*.f64 (/.f64 x z) (*.f64 z y)) z))
(*.f64 z (/.f64 (*.f64 (/.f64 y z) (*.f64 z x)) z))
(*.f64 z (/.f64 (/.f64 (*.f64 (*.f64 z x) y) z) z))
(*.f64 (*.f64 z (/.f64 (/.f64 x z) z)) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 z z) (/.f64 x z)) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z x)) z) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y)) z))
(*.f64 (/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 x y)) z))
(/.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (*.f64 x y))) z)
Outputs
(/.f64 (*.f64 (*.f64 x z) y) z)
(*.f64 x y)
Calls

5 calls:

14.0ms
(*.f64 t a)
14.0ms
(*.f64 x y)
12.0ms
z
12.0ms
t
11.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Results
AccuracySegmentsBranch
74.5%2t
75.9%2(*.f64 x y)
77.0%2(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
76.2%2(*.f64 t a)
76.9%2z
Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes42.0ms (0.4%)

Memory
-17.0MiB live, 21.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
(*.f64 (/.f64 (*.f64 z x) z) y)
(/.f64 (*.f64 (*.f64 x y) z) z)
Outputs
(*.f64 (/.f64 (*.f64 z x) z) y)
(*.f64 x y)
Calls

4 calls:

32.0ms
x
3.0ms
y
3.0ms
z
3.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Results
AccuracySegmentsBranch
74.5%2x
75.1%2y
76.0%2z
76.2%2(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Compiler

Compiled 37 to 27 computations (27% saved)

regimes22.0ms (0.2%)

Memory
8.6MiB live, 46.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 (*.f64 y z) (/.f64 x z))
(*.f64 (/.f64 x z) (*.f64 z y))
(*.f64 (/.f64 y z) (*.f64 z x))
Outputs
(*.f64 (*.f64 x z) (/.f64 y z))
(*.f64 x y)
Calls

8 calls:

4.0ms
t
3.0ms
x
3.0ms
z
3.0ms
a
2.0ms
y
Results
AccuracySegmentsBranch
70.9%1x
70.9%1t
70.9%1y
70.9%1a
70.9%1(*.f64 x y)
73.1%2z
73.1%2(*.f64 t a)
70.9%1(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Accuracy

Total -6.5b remaining (-34.6%)

Threshold costs -6.5b (-34.6%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x y)
(*.f64 z (/.f64 (*.f64 x y) z))
Outputs
(*.f64 x y)
Calls

4 calls:

2.0ms
z
1.0ms
(*.f64 t a)
1.0ms
(*.f64 x y)
1.0ms
(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
Results
AccuracySegmentsBranch
70.9%1(/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))))
70.9%1(*.f64 x y)
70.9%1(*.f64 t a)
70.9%1z
Compiler

Compiled 41 to 29 computations (29.3% saved)

bsearch21.0ms (0.2%)

Memory
-24.4MiB live, 27.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.117270347009119e+36
1.90344946482283e+39
Samples
14.0ms128×0valid
0.0ms0invalid
Compiler

Compiled 262 to 188 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (74% of total)
ival-sub: 1.0ms (9.2% of total)
ival-div: 1.0ms (9.2% of total)
ival-sqrt: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
26.4MiB live, 65.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.5550783265871238e+115
4.835741235030449e+116
18.0ms
8.397863708533742e-49
4.726238683684988e-41
Samples
19.0ms256×0valid
3.0ms27×0invalid
Compiler

Compiled 594 to 403 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 8.0ms (61.9% of total)
ival-div: 2.0ms (15.5% of total)
ival-sqrt: 2.0ms (15.5% of total)
ival-sub: 1.0ms (7.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Memory
-2.9MiB live, 34.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
7.117270347009119e+36
1.90344946482283e+39
Samples
11.0ms128×0valid
1.0ms13×0invalid
Compiler

Compiled 254 to 180 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (51.2% of total)
ival-sub: 1.0ms (17.1% of total)
ival-div: 1.0ms (17.1% of total)
ival-sqrt: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1.5550783265871238e+115
4.835741235030449e+116
Samples
1.0ms16×0valid
0.0ms0invalid
Compiler

Compiled 51 to 40 computations (21.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory
3.0MiB live, 38.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
4.742842248934688e-102
3.3441259508510154e-98
Samples
12.0ms128×0valid
2.0ms30×0invalid
Compiler

Compiled 238 to 180 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (44.9% of total)
ival-sqrt: 3.0ms (33.7% of total)
ival-sub: 1.0ms (11.2% of total)
ival-div: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.903894999127217e-217
3.1964085324690685e-214
Compiler

Compiled 22 to 20 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.903894999127217e-217
3.1964085324690685e-214
Compiler

Compiled 22 to 20 computations (9.1% saved)

bsearch8.0ms (0.1%)

Memory
-33.7MiB live, 9.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
1.691541072484394e-176
2.0299071657124886e-176
Samples
6.0ms32×0valid
0.0ms0invalid
Compiler

Compiled 66 to 52 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (63.1% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
cancel-sign-sub-inv_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061191
184191
296191
3100191
4102191
5103191
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 399999999999999990995239293824136118272 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x) (*.f64 x y))
(if (<=.f64 z #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 binary64)) (*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) (if (<=.f64 z #s(literal 24000000000000000373425987107204232582436833526105474400874493930340010747954136878359649357961138744228950740828160 binary64)) (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 28500000000000000397331425916291645440 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y))
(if (<=.f64 z #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y))
(if (<=.f64 z #s(literal 8668441363206785/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) (*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t))))) (*.f64 x y))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (*.f64 (*.f64 x z) y) z) (*.f64 x y))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (*.f64 (/.f64 (*.f64 z x) z) y) (*.f64 x y))
(if (<=.f64 z #s(literal 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 (*.f64 x z) (/.f64 y z)) (*.f64 x y))
(*.f64 x y)
Outputs
(if (<=.f64 z #s(literal 399999999999999990995239293824136118272 binary64)) (*.f64 (/.f64 (*.f64 y z) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x) (*.f64 x y))
(if (<=.f64 z #s(literal 399999999999999990995239293824136118272 binary64)) (*.f64 (/.f64 (*.f64 z y) (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a))))) x) (*.f64 y x))
(if (<=.f64 z #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 binary64)) (*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) (if (<=.f64 z #s(literal 24000000000000000373425987107204232582436833526105474400874493930340010747954136878359649357961138744228950740828160 binary64)) (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y)))
(if (<=.f64 z #s(literal 4511666872309177/392318858461667547739736838950479151006397215279002157056 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 t a)))))) (if (<=.f64 z #s(literal 24000000000000000373425987107204232582436833526105474400874493930340010747954136878359649357961138744228950740828160 binary64)) (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 y x)))
(if (<=.f64 z #s(literal 28500000000000000397331425916291645440 binary64)) (/.f64 (*.f64 (*.f64 y z) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y))
(if (<=.f64 z #s(literal 28500000000000000397331425916291645440 binary64)) (/.f64 (*.f64 (*.f64 z y) x) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 y x))
(if (<=.f64 z #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 x y))
(if (<=.f64 z #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (*.f64 y x))
(if (<=.f64 z #s(literal 8668441363206785/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) (*.f64 (*.f64 y z) (/.f64 x (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) t))))) (*.f64 x y))
(if (<=.f64 z #s(literal 8668441363206785/78804012392788958424558080200287227610159478540930893335896586808491443542994421222828532509769831281613255980613632 binary64)) (*.f64 (*.f64 z y) (/.f64 x (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 t a))))) (*.f64 y x))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (*.f64 (*.f64 x z) y) z) (*.f64 x y))
(if (<=.f64 (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (/.f64 (*.f64 y (*.f64 z x)) z) (*.f64 y x))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (*.f64 (/.f64 (*.f64 z x) z) y) (*.f64 x y))
(if (<=.f64 (/.f64 (*.f64 z (*.f64 y x)) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) #s(literal 1552518092300709/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856 binary64)) (*.f64 y (/.f64 (*.f64 z x) z)) (*.f64 y x))
(if (<=.f64 z #s(literal 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 (*.f64 x z) (/.f64 y z)) (*.f64 x y))
(if (<=.f64 z #s(literal 178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (*.f64 (*.f64 z x) (/.f64 y z)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)

soundness833.0ms (7.2%)

Memory
7.7MiB live, 673.2MiB allocated
Rules
8 704×*-lowering-*.f32
8 704×*-lowering-*.f64
7 510×accelerator-lowering-fma.f32
7 510×accelerator-lowering-fma.f64
6 788×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026116
1151116
2897110
0973998
02395
110883
260959
3506257
0844757
064110396
1212410203
2568910152
087309871
04953591
116093519
264783501
082663389
01234
14934
231334
3269334
0840734
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 445 to 229 computations (48.5% saved)

preprocess812.0ms (7.1%)

Memory
10.3MiB live, 1 024.5MiB allocated
Remove

(sort t a)

Compiler

Compiled 2 124 to 1 080 computations (49.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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