Cubic critical

Time bar (total: 10.6s)

analyze136.0ms (1.3%)

Memory
29.4MiB live, 223.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.4%62.4%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
48.3%45.2%48.4%0.1%0%6.2%0%8
53%48.4%42.9%0.1%0%8.6%0%9
58.1%50.3%36.3%0.1%0%13.3%0%10
66.1%56.8%29.1%0.1%0%14%0%11
70.4%58.8%24.7%0.1%0%16.4%0%12
Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (15.6%)

Memory
-19.1MiB live, 2 209.7MiB allocated
Samples
526.0ms5 625×0valid
248.0ms1 128×2valid
185.0ms1 342×1valid
112.0ms948×0invalid
39.0ms161×3valid
Precisions
Click to see histograms. Total time spent on operations: 723.0ms
ival-mult: 229.0ms (31.7% of total)
ival-sqrt: 117.0ms (16.2% of total)
ival-div: 95.0ms (13.1% of total)
ival-sub: 79.0ms (10.9% of total)
adjust: 68.0ms (9.4% of total)
ival-add: 68.0ms (9.4% of total)
ival-neg: 49.0ms (6.8% of total)
ival-true: 7.0ms (1% of total)
exact: 6.0ms (0.8% of total)
ival-assert: 4.0ms (0.6% of total)
Bogosity

preprocess144.0ms (1.4%)

Memory
35.3MiB live, 156.1MiB allocated
Algorithm
egg-herbie
Rules
1 562×div-sub
1 088×lower-fma.f64
1 088×lower-fma.f32
996×sub-neg
712×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1152144
2433144
31173144
43171144
56061144
01217
02017
13616
27316
315616
423616
537416
665016
7110316
8224116
9251016
10262116
11267616
12267716
13267716
0267715
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))

explain179.0ms (1.7%)

Memory
-17.1MiB live, 367.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
900-1(4.572850394970916e-62 -1.3589022900199609e-307 -2.3765313014323917e-261)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
530-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
200-2(-9.757897795624259e-206 7.229292375550499e-134 5.4272127279582756e-244)(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
10-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-a
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-(*.f64 b b)
00-0-c
00-0-(neg.f64 b)
00-0-b
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))oflow-rescue800
(*.f64 b b)overflow65
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow19
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow80
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation530
/.f64(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))u/n180
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow42
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow9
(*.f64 b b)underflow54
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow33
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue90
(*.f64 b b)underflow54
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow42
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow9
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue10
(*.f64 b b)overflow65
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow19
Confusion
Predicted +Predicted -
+1201
-12123
Precision
0.9090909090909091
Recall
0.9917355371900827
Confusion?
Predicted +Predicted MaybePredicted -
+12001
-120123
Precision?
0.9090909090909091
Recall?
0.9917355371900827
Freqs
test
numberfreq
0124
1104
227
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms340×0valid
22.0ms92×2valid
13.0ms66×1valid
4.0ms14×3valid
Compiler

Compiled 176 to 52 computations (70.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 11.0ms (24.2% of total)
ival-div: 8.0ms (17.6% of total)
adjust: 7.0ms (15.4% of total)
ival-sqrt: 6.0ms (13.2% of total)
ival-sub: 4.0ms (8.8% of total)
ival-add: 4.0ms (8.8% of total)
ival-neg: 4.0ms (8.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 20 to 12 computations (40% saved)

simplify93.0ms (0.9%)

Memory
10.4MiB live, 104.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
Rules
1 088×lower-fma.f64
1 088×lower-fma.f32
712×lower-*.f32
706×lower-*.f64
430×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13664
27364
315664
423664
537464
665064
7110364
8224164
9251064
10262164
11267664
12267764
13267764
0267760
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -3 binary64)))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 #s(literal 3 binary64) (*.f64 a c))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
c

localize77.0ms (0.7%)

Memory
-25.1MiB live, 94.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy92.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
accuracy81.2%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy67.2%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Samples
14.0ms170×0valid
10.0ms46×2valid
6.0ms33×1valid
2.0ms3valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 6.0ms (30.1% of total)
ival-div: 3.0ms (15% of total)
ival-sqrt: 3.0ms (15% of total)
ival-sub: 2.0ms (10% of total)
adjust: 2.0ms (10% of total)
ival-add: 2.0ms (10% of total)
ival-neg: 2.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
28.4MiB live, 28.4MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))>
#<alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))>
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))>
#<alt (neg.f64 b)>
#<alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -3 (* a c))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (- (pow b 2) (* 3 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 3 c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 3 a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
1.0ms
a
@-inf
(sqrt (- (* b b) (* (* 3 a) c)))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms
a
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
1.0ms
c
@0
(+ (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite283.0ms (2.7%)

Memory
-3.0MiB live, 512.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 876×lower-fma.f64
4 876×lower-fma.f32
3 870×lower-*.f32
3 864×lower-*.f64
2 328×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
02051
17149
252548
3683648
0812544
Stop Event
iter limit
node limit
iter limit
Counts
5 → 440
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
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(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 b (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 3 binary64) (*.f64 a c) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))

simplify447.0ms (4.2%)

Memory
-10.8MiB live, 602.1MiB allocated
Algorithm
egg-herbie
Rules
10 788×lower-fma.f64
10 788×lower-fma.f32
7 910×lower-*.f64
7 910×lower-*.f32
2 502×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603466
117673443
262153400
082643230
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -3 (* a c))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(- (pow b 2) (* 3 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -3 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 a a)) (*.f64 b b))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
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(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(*.f64 a (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 b b) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))))) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))))) (neg.f64 a))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b)
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -27/16 binary64) c) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(*.f64 c (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))))))))))

eval151.0ms (1.4%)

Memory
-15.6MiB live, 136.8MiB allocated
Compiler

Compiled 22 517 to 2 107 computations (90.6% saved)

prune116.0ms (1.1%)

Memory
18.5MiB live, 175.3MiB allocated
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New57419593
Fresh000
Picked101
Done000
Total57519594
Accuracy
92.4%
Counts
594 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.1%
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
54.8%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
54.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
11.6%
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a))
54.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
31.1%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))
31.1%
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
21.5%
(/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
35.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
34.5%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
34.5%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
23.1%
(/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
33.7%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
31.1%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
31.0%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
54.7%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
32.6%
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
Compiler

Compiled 684 to 448 computations (34.5% saved)

simplify236.0ms (2.2%)

Memory
-8.0MiB live, 388.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 c (*.f64 b (*.f64 b b)))
cost-diff0
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
cost-diff0
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff320
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
cost-diff0
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
cost-diff0
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
cost-diff448
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff0
(*.f64 b #s(literal -2/3 binary64))
cost-diff0
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
cost-diff384
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
Rules
4 020×lower-fma.f32
4 014×lower-fma.f64
3 352×lower-*.f32
3 336×lower-*.f64
2 626×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032247
058237
1108237
2207237
3537237
41202237
52010235
62788235
74333235
86917235
08165234
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 b #s(literal -2/3 binary64))
b
#s(literal -2/3 binary64)
a
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
c
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
#s(literal -1/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
c
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
a
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
Outputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 b #s(literal -2/3 binary64))
b
#s(literal -2/3 binary64)
a
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 b (/.f64 #s(literal -2/3 binary64) a) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
c
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
#s(literal -1/2 binary64)
(*.f64 b b)
b
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) #s(literal 1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal 1/3 binary64)
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 c b) (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64)))
c
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 (fma.f64 c (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b b))) #s(literal -1/2 binary64)) b)
a
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
(/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(/.f64 c (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
b
(*.f64 b b)
#s(literal -3/8 binary64)
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)

localize184.0ms (1.7%)

Memory
26.3MiB live, 413.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
accuracy98.3%
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
accuracy95.0%
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
accuracy91.1%
(/.f64 c (*.f64 b (*.f64 b b)))
accuracy99.5%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
accuracy95.5%
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
accuracy77.3%
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy67.2%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
accuracy99.5%
(/.f64 #s(literal 2/3 binary64) a)
accuracy99.0%
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
accuracy94.1%
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
accuracy91.0%
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy99.7%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
accuracy99.5%
(*.f64 b #s(literal -2/3 binary64))
accuracy99.7%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
accuracy93.1%
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
accuracy81.2%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy67.2%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
Samples
54.0ms79×2valid
37.0ms77×1valid
27.0ms90×0valid
7.0ms10×3valid
Compiler

Compiled 263 to 37 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-div: 22.0ms (25.9% of total)
ival-mult: 20.0ms (23.6% of total)
ival-add: 13.0ms (15.3% of total)
const: 11.0ms (13% of total)
adjust: 10.0ms (11.8% of total)
ival-sqrt: 4.0ms (4.7% of total)
ival-sub: 2.0ms (2.4% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series105.0ms (1%)

Memory
-0.3MiB live, 111.3MiB allocated
Counts
18 → 516
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))>
#<alt (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)>
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))>
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))>
#<alt (/.f64 (*.f64 b #s(literal -2/3 binary64)) a)>
#<alt (*.f64 b #s(literal -2/3 binary64))>
#<alt (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))>
#<alt (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 b b))>
#<alt (*.f64 b b)>
#<alt (*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))>
#<alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)>
#<alt (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))>
#<alt (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))>
#<alt (*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))>
#<alt (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))>
#<alt (/.f64 c (*.f64 b (*.f64 b b)))>
#<alt (/.f64 #s(literal 2/3 binary64) a)>
Outputs
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))>
#<alt (* 3/2 (/ c b))>
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)>
#<alt (/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)>
#<alt (/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)>
#<alt (* 2 (/ b a))>
#<alt (* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))>
#<alt (* 3/2 (/ c b))>
#<alt (+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))>
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))>
#<alt (+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))>
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))>
#<alt (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))>
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* 3/2 (/ c b))>
#<alt (* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))>
#<alt (* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))>
#<alt (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)>
#<alt (/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))>
#<alt (* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))>
#<alt (* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* 3/2 (/ (* a c) b))>
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#<alt (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))>
#<alt (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))>
#<alt (* 3/2 (/ c b))>
#<alt (* -1 (/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (* 2 (/ b a))>
#<alt (/ (+ (* -3/2 (/ (* a c) b)) (* 2 b)) a)>
#<alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -3))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))>
#<alt (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))>
#<alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (/ b a))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a)))>
#<alt (* 2 (/ b a))>
#<alt (+ (* -3/2 (/ c b)) (* 2 (/ b a)))>
#<alt (+ (* 2 (/ b a)) (* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))))>
#<alt (+ (* 2 (/ b a)) (* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))))>
#<alt (* (sqrt (/ c a)) (sqrt -3))>
#<alt (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))))>
#<alt (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (/ b a)) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 3/2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -3/2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 2 b)>
#<alt (+ (* -3/2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* a (- (* -3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b))))))>
#<alt (/ -1/2 b)>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* c (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -1 (* c (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))))>
#<alt (* -3/8 (/ (* a c) (pow b 3)))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))) (pow b 3))>
#<alt (/ -1/2 b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b)>
#<alt (/ -1/2 b)>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3)))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b))))))>
#<alt (* -3/8 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (* -3/8 (/ c (pow b 3)))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
#<alt (/ 2/3 a)>
Calls

129 calls:

TimeVariablePointExpression
28.0ms
b
@0
(+ b (sqrt (+ (* a (* -3 c)) (* b b))))
27.0ms
b
@0
(- b (sqrt (+ (* a (* -3 c)) (* b b))))
2.0ms
c
@-inf
(/ (/ (- b (sqrt (+ (* a (* -3 c)) (* b b)))) a) -3)
2.0ms
c
@inf
(/ (+ b (sqrt (+ (* a (* -3 c)) (* b b)))) a)
1.0ms
c
@0
(* (+ (* c (/ -1/2 (* b b))) (/ 2/3 a)) (neg b))

rewrite349.0ms (3.3%)

Memory
21.7MiB live, 734.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 816×lower-/.f32
4 800×lower-/.f64
4 452×lower-*.f32
4 436×lower-*.f64
4 078×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
058167
1212167
21558167
08218167
Stop Event
iter limit
node limit
iter limit
Counts
18 → 734
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 b #s(literal -2/3 binary64))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 #s(literal -1/2 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a)
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b))
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
(/.f64 c (*.f64 b (*.f64 b b)))
(/.f64 #s(literal 2/3 binary64) a)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 3 binary64)))
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) a) #s(literal -3 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
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(/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (*.f64 c #s(literal -3/8 binary64))) (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 c)) (neg.f64 (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b)) (*.f64 b b))
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(/.f64 #s(literal 3/8 binary64) (neg.f64 (/.f64 (*.f64 b (*.f64 b b)) c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal -3/8 binary64)))) (neg.f64 (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 c))) (neg.f64 (neg.f64 (*.f64 b (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (/.f64 c b))) (*.f64 b (neg.f64 b)))
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(/.f64 (neg.f64 (*.f64 (/.f64 c b) #s(literal -3/8 binary64))) (*.f64 b (neg.f64 b)))
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(/.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (*.f64 b b))) (neg.f64 b))
(pow.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c #s(literal -3/8 binary64))) #s(literal -1 binary64))
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(*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64))
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(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 c (*.f64 b b)))
(*.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (/.f64 c b) b))
(*.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal -3/8 binary64) b))
(*.f64 #s(literal 3/8 binary64) (/.f64 (neg.f64 c) (*.f64 b (*.f64 b b))))
(*.f64 (/.f64 c (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 c) (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) (neg.f64 b)))
(*.f64 (/.f64 (neg.f64 c) b) (/.f64 #s(literal -3/8 binary64) (*.f64 b (neg.f64 b))))
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(*.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 b (neg.f64 b))) (/.f64 (neg.f64 c) b))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -3/8 binary64) (*.f64 b (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 b (*.f64 b b)) c)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 (*.f64 b (*.f64 b b)))))
(neg.f64 (/.f64 c (neg.f64 (*.f64 b (*.f64 b b)))))
(neg.f64 (/.f64 (neg.f64 c) (*.f64 b (*.f64 b b))))
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(/.f64 (neg.f64 c) (neg.f64 (*.f64 b (*.f64 b b))))
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(/.f64 (neg.f64 (/.f64 c b)) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 c (*.f64 b b)) b)
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(/.f64 (/.f64 (/.f64 c b) b) b)
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 (*.f64 b (*.f64 b b))))))
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(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) a))
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(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2/3 binary64))

simplify654.0ms (6.2%)

Memory
-94.0MiB live, 994.7MiB allocated
Algorithm
egg-herbie
Rules
10 362×lower-fma.f64
10 362×lower-fma.f32
7 698×lower-*.f64
7 698×lower-*.f32
5 630×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010089184
132489121
083448702
Stop Event
iter limit
node limit
Counts
516 → 513
Calls
Call 1
Inputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))
(* 3/2 (/ c b))
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(* 2 (/ b a))
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (* 3/2 (/ c (pow b 2)))) (* 2 (/ 1 a)))))
(* -1 (* b (- (+ (* 9/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 3/2 (/ c (pow b 2))) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))))) (* 2 (/ 1 a)))))
(* 3/2 (/ c b))
(+ (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))
(+ (* 3/2 (/ c b)) (* a (+ (* 9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))
(+ (* -1 (/ (+ (* -1 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* 3/2 (/ c b))
(* c (+ (* 9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* 27/16 (/ (* (pow a 2) c) (pow b 5))))) (* 3/2 (/ 1 b))))
(* c (+ (* c (+ (* 9/8 (/ a (pow b 3))) (* c (+ (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 27/16 (/ (pow a 2) (pow b 5))))))) (* 3/2 (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (/ b (* a c))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b (* a c))))))
(* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (/ b a)) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (/ b a)) c)))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 b)
(* -2/3 (/ b a))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* 1/2 (/ c b))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* 1/2 (/ c b))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(* -2/3 (/ b a))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 1/2 (/ c b))
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(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -3)) (/ b (* a c)))))
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(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
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(* (sqrt (* a c)) (sqrt -3))
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(* 2 b)
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(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
(/ 2/3 a)
Outputs
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))))) b)
(* -2/3 (/ b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64))) b)) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 #s(literal -1/24 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) b)) a))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) b) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) a)) a))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c a) (*.f64 b (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) c) (pow.f64 b #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b)))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 #s(literal -1/6 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) (*.f64 a b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 b (*.f64 b b))))) (/.f64 #s(literal -1/2 binary64) b)))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(*.f64 c (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(*.f64 c (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a)))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))))) c)) c))))
(* -1 (* (sqrt (/ c a)) (sqrt -3)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (/ b a))
(-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))))
(-.f64 (*.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (/ 1 a))))
(fma.f64 b (fma.f64 b (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal 1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(* 3/2 (/ c b))
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (* 3/2 c)) b)
(/.f64 (fma.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) #s(literal 9/8 binary64) (*.f64 c #s(literal 3/2 binary64))) b)
(/ (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal 9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 27/16 binary64) (*.f64 c #s(literal 3/2 binary64)))) b)
(/ (+ (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 9/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 3/2 c) (* 27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b)
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 405/64 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 9/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 c (*.f64 c c))) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 27/16 binary64) (*.f64 c #s(literal 3/2 binary64))))) b)
(* 2 (/ b a))
(*.f64 (/.f64 b a) #s(literal 2 binary64))
(* -1 (* b (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
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b
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b
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(* (sqrt (* a c)) (sqrt -3))
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(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(* -3/8 (/ c (pow b 3)))
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(* -3/8 (/ c (pow b 3)))
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(* -3/8 (/ c (pow b 3)))
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(* -3/8 (/ c (pow b 3)))
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(* -3/8 (/ c (pow b 3)))
(*.f64 #s(literal -3/8 binary64) (/.f64 c (*.f64 b (*.f64 b b))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ c (pow b 3))
(/.f64 c (*.f64 b (*.f64 b b)))
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)

eval186.0ms (1.8%)

Memory
16.8MiB live, 447.2MiB allocated
Compiler

Compiled 36 452 to 3 930 computations (89.2% saved)

prune211.0ms (2%)

Memory
-19.5MiB live, 435.1MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1 342211 363
Fresh6814
Picked235
Done000
Total1 350321 382
Accuracy
92.6%
Counts
1 382 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
26.1%
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
2.2%
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
54.8%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
34.6%
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
26.5%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
35.4%
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
54.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
54.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
54.7%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
11.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
35.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
2.6%
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
34.5%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
34.5%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
2.3%
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
31.1%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
11.3%
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
11.2%
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
2.6%
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
11.3%
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
34.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
54.7%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
34.5%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
54.7%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
31.1%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64))
12.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
33.0%
(*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
26.5%
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
33.8%
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
34.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Compiler

Compiled 882 to 605 computations (31.4% saved)

simplify185.0ms (1.7%)

Memory
15.1MiB live, 329.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
cost-diff0
(*.f64 a c)
cost-diff0
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
cost-diff1344
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(*.f64 c #s(literal 3/2 binary64))
cost-diff0
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
cost-diff320
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
Rules
5 066×lower-*.f32
5 046×lower-*.f64
2 578×lower-/.f32
2 566×lower-/.f64
2 056×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033192
058193
198188
2185186
3493182
41083182
52734182
63886182
76391182
08286182
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
(*.f64 c #s(literal 3/2 binary64))
c
#s(literal 3/2 binary64)
b
#s(literal 1/3 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 a c)
a
c
#s(literal -3/2 binary64)
b
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal -1/3 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b))
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
(*.f64 c #s(literal 3/2 binary64))
c
#s(literal 3/2 binary64)
b
#s(literal 1/3 binary64)
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 a (*.f64 c #s(literal -3/2 binary64)))
(*.f64 a c)
a
c
#s(literal -3/2 binary64)
b
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64)))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) #s(literal 1/3 binary64))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
a
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
#s(literal -1/3 binary64)

localize135.0ms (1.3%)

Memory
-35.2MiB live, 289.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))
accuracy93.0%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
accuracy81.2%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy67.2%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
accuracy100.0%
(*.f64 #s(literal 3 binary64) a)
accuracy99.6%
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
accuracy93.0%
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
accuracy83.9%
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
accuracy100.0%
(*.f64 c #s(literal 3/2 binary64))
accuracy99.7%
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
accuracy99.6%
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
accuracy100.0%
(/.f64 b a)
accuracy99.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy99.9%
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
accuracy92.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy81.2%
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
accuracy67.2%
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
Samples
49.0ms170×0valid
25.0ms46×2valid
13.0ms33×1valid
5.0ms3valid
Compiler

Compiled 203 to 37 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 20.0ms (31.9% of total)
ival-div: 12.0ms (19.1% of total)
const: 9.0ms (14.4% of total)
ival-add: 6.0ms (9.6% of total)
ival-sqrt: 6.0ms (9.6% of total)
adjust: 5.0ms (8% of total)
ival-sub: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
22.3MiB live, 61.1MiB allocated
Counts
19 → 540
Calls
Call 1
Inputs
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))>
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))>
#<alt (neg.f64 b)>
#<alt (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))>
#<alt (*.f64 #s(literal -2/3 binary64) (/.f64 b a))>
#<alt (/.f64 b a)>
#<alt (*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 c #s(literal 3/2 binary64)) b)>
#<alt (*.f64 c #s(literal 3/2 binary64))>
#<alt (/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))>
#<alt (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)>
#<alt (*.f64 (*.f64 a c) #s(literal -3/2 binary64))>
#<alt (*.f64 a c)>
#<alt (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)>
#<alt (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))>
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))>
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))>
#<alt (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))>
#<alt (*.f64 #s(literal 3 binary64) a)>
Outputs
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))>
#<alt (* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))>
#<alt b>
#<alt (+ b (* -3/2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (* -2/3 (/ b a))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 1/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 (/ c b))>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* 3/2 c)>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -1/2 (/ c b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
#<alt (* -3/2 (/ (* a c) b))>
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#<alt b>
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#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -3 c) (/ (pow b 2) a)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))>
#<alt (pow b 2)>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (* -3 (* a c))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -3 a) (/ (pow b 2) c)))>
#<alt (* -3 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))>
#<alt (* -3 (* a c))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (+ (* -3 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
#<alt (* 3 a)>
Calls

135 calls:

TimeVariablePointExpression
1.0ms
c
@0
(/ (* (* a c) -3/2) b)
1.0ms
c
@inf
(* (/ (* c 3/2) b) 1/3)
1.0ms
a
@0
(/ (/ (* (* a c) -3/2) b) (* 3 a))
0.0ms
b
@0
(/ (* (* a c) -3/2) b)
0.0ms
b
@inf
(/ (* (* a c) -3/2) b)

rewrite375.0ms (3.5%)

Memory
19.3MiB live, 409.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 614×lower-*.f32
4 594×lower-*.f64
3 886×lower-fma.f32
3 882×lower-fma.f64
3 078×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033147
058148
1191143
21102140
09746140
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 213
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 c #s(literal 3/2 binary64)) b)
(*.f64 c #s(literal 3/2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b)
(*.f64 (*.f64 a c) #s(literal -3/2 binary64))
(*.f64 a c)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64))
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))
(*.f64 #s(literal 3 binary64) a)
Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 b (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (-.f64 b #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 b (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(-.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) #s(literal 0 binary64)) b)
(-.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)) b)
(fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) b)
(fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (*.f64 b (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal -1 binary64) b (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) b)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) b)
(fma.f64 (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 b (*.f64 b b))) (neg.f64 (-.f64 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
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(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) #s(literal 9 binary64)))))))
(*.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 c (*.f64 c c)) #s(literal -27 binary64)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -3 binary64)))
(neg.f64 (*.f64 a #s(literal -3 binary64)))
(/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 a #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))
(*.f64 a #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (neg.f64 a))
(*.f64 #s(literal 3 binary64) a)
(*.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 a) #s(literal -3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 a #s(literal -3 binary64)))

simplify703.0ms (6.6%)

Memory
-11.0MiB live, 643.5MiB allocated
Algorithm
egg-herbie
Rules
10 152×lower-fma.f64
10 152×lower-fma.f32
8 722×lower-*.f64
8 722×lower-*.f32
4 422×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08118727
126678672
081548325
Stop Event
iter limit
node limit
Counts
540 → 534
Calls
Call 1
Inputs
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(* -3/2 (/ (* a c) b))
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -3/2 (/ (* a c) b))
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -3/2 (/ (* a c) b))
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 c)
(* 3/2 c)
(* 3/2 c)
(* 3/2 c)
(* 3/2 c)
(* 3/2 c)
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(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
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(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
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(* -1/2 (/ (* a c) b))
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2/3 b)
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1/2 (/ (* a c) b))
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1/2 (/ (* a c) b))
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(* 1/3 (* (sqrt (* a c)) (sqrt -3)))
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
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(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
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(* 3/2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -3)))
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(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
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(* 3/2 (/ (* a c) b))
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(* -1 (* (sqrt (* a c)) (sqrt -3)))
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(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
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b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* -3 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(* -3 (* a c))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* -3 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -3 (* a c))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(+ (* -3 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
(* 3 a)
Outputs
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (*.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 c (*.f64 a (*.f64 c c))))))) (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1 binary64))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b)))) b)
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 a (*.f64 c #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 b b))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(neg.f64 (*.f64 b (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(neg.f64 (*.f64 b (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)))))
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(neg.f64 (*.f64 b (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/16 binary64)) (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64))))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a)))
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a)))
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(neg.f64 (*.f64 a (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/2 binary64)))) (neg.f64 a)) b) a))))
(* -3/2 (/ (* a c) b))
(/.f64 (*.f64 a (*.f64 c #s(literal -3/2 binary64))) b)
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (fma.f64 c (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 c (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)))
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) c)) b) (/.f64 (*.f64 #s(literal -27/16 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))) (/.f64 (*.f64 #s(literal -3/2 binary64) a) b)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c)))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c)))
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(neg.f64 (*.f64 c (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) b) c))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
(* -1/2 (/ c b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 c #s(literal -1/2 binary64)))) b)
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(* (sqrt (* a c)) (sqrt -3))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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b
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(pow b 2)
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(* -3 (* a c))
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(pow b 2)
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(pow b 2)
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(pow b 2)
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(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))
(* 3 a)
(*.f64 a #s(literal 3 binary64))

eval366.0ms (3.5%)

Memory
18.5MiB live, 564.0MiB allocated
Compiler

Compiled 43 329 to 3 661 computations (91.6% saved)

prune229.0ms (2.2%)

Memory
-7.7MiB live, 668.6MiB allocated
Pruning

41 alts after pruning (36 fresh and 5 done)

PrunedKeptTotal
New1 748231 771
Fresh111324
Picked325
Done033
Total1 762411 803
Accuracy
92.6%
Counts
1 803 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
22.0%
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
54.8%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
34.6%
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
54.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
32.4%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
54.7%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
11.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
35.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
2.6%
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
34.5%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
34.5%
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
35.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
11.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
35.4%
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
31.1%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
35.4%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
11.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
54.7%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
34.5%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
54.7%
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
11.3%
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
54.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64))
11.0%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
11.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
11.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
28.1%
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
35.4%
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
2.6%
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
11.3%
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
5.1%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
12.9%
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
33.0%
(*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
33.8%
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
2.6%
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
22.3%
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
34.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
34.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
34.5%
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
19.0%
(*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
28.2%
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
Compiler

Compiled 1 032 to 743 computations (28% saved)

simplify305.0ms (2.9%)

Memory
9.5MiB live, 205.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))
cost-diff0
(/.f64 a b)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 a b))
cost-diff0
(/.f64 #s(literal 3/2 binary64) b)
cost-diff0
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c)
cost-diff320
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
cost-diff0
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
cost-diff0
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
cost-diff0
(/.f64 #s(literal -1/3 binary64) a)
cost-diff0
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
Rules
2 504×lower-fma.f32
2 502×lower-fma.f64
1 840×lower-*.f32
1 820×lower-*.f64
882×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033152
056148
193146
2154144
3252144
4455144
5738144
61303144
72148144
83912144
94530144
104747144
114845144
124884144
134892144
145288144
155493144
165591144
175591144
185591144
195617144
205629144
215654144
225665144
235665144
05665144
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal -1/3 binary64) a)
#s(literal -1/3 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
#s(literal 2/3 binary64)
(/.f64 b a)
b
a
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c)
(/.f64 #s(literal 3/2 binary64) b)
#s(literal 3/2 binary64)
b
c
#s(literal 1/3 binary64)
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(literal -2/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 a b))
#s(literal 1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) a)
#s(literal -1/3 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))))
b
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))
(fma.f64 b b (*.f64 c (*.f64 a #s(literal -3 binary64))))
(*.f64 #s(literal -3 binary64) c)
#s(literal -3 binary64)
c
(*.f64 b b)
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
#s(literal 2/3 binary64)
(/.f64 b a)
b
a
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c)
(*.f64 c (/.f64 #s(literal 3/2 binary64) b))
(/.f64 #s(literal 3/2 binary64) b)
#s(literal 3/2 binary64)
b
c
#s(literal 1/3 binary64)
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
#s(literal -2/3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 b a)
#s(literal 1 binary64)
(/.f64 a b)
a
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b)
(neg.f64 b)
b
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
c
(*.f64 a #s(literal -3 binary64))
a
#s(literal -3 binary64)
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize134.0ms (1.3%)

Memory
-24.2MiB live, 300.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 b)
accuracy99.8%
(*.f64 c (*.f64 a #s(literal -3 binary64)))
accuracy99.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
accuracy84.6%
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
accuracy100.0%
(/.f64 a b)
accuracy99.7%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
accuracy100.0%
(/.f64 #s(literal 3/2 binary64) b)
accuracy99.8%
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c)
accuracy99.7%
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
accuracy100.0%
(/.f64 b a)
accuracy99.7%
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
accuracy99.7%
(/.f64 #s(literal -1/3 binary64) a)
accuracy96.2%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
accuracy90.5%
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
accuracy80.3%
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
Samples
34.0ms128×0valid
21.0ms83×0invalid
14.0ms29×2valid
5.0ms14×1valid
1.0ms3valid
Compiler

Compiled 158 to 36 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 16.0ms (30.3% of total)
const: 12.0ms (22.7% of total)
ival-div: 11.0ms (20.8% of total)
ival-sqrt: 5.0ms (9.5% of total)
ival-add: 3.0ms (5.7% of total)
adjust: 2.0ms (3.8% of total)
ival-sub: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-4.2MiB live, 70.0MiB allocated
Counts
17 → 432
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))>
#<alt (/.f64 #s(literal -1/3 binary64) a)>
#<alt (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))>
#<alt (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))>
#<alt (*.f64 #s(literal 2/3 binary64) (/.f64 b a))>
#<alt (/.f64 b a)>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 3/2 binary64) b) c)>
#<alt (/.f64 #s(literal 3/2 binary64) b)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 a b))>
#<alt (*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))>
#<alt (/.f64 a b)>
#<alt (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))>
#<alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))>
#<alt (neg.f64 b)>
#<alt (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))>
#<alt (*.f64 c (*.f64 a #s(literal -3 binary64)))>
Outputs
#<alt (* -1/2 (/ c b))>
#<alt (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))>
#<alt (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))>
#<alt (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))>
#<alt (* -1/2 (/ c b))>
#<alt (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -2/3 (/ b a))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b))>
#<alt (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))>
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#<alt (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))>
#<alt (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))>
#<alt (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* (sqrt (* a c)) (sqrt -3))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
#<alt (* -3 (* a c))>
Calls

108 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a))
1.0ms
c
@0
(/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a))
1.0ms
a
@0
(/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a))
0.0ms
c
@0
(+ (neg b) (sqrt (* c (* a -3))))
0.0ms
b
@inf
(/ (+ (neg b) (sqrt (* c (* a -3)))) (* 3 a))

rewrite326.0ms (3.1%)

Memory
18.3MiB live, 631.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 316×lower-fma.f32
7 314×lower-fma.f64
5 002×lower-*.f32
4 982×lower-*.f64
2 790×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033111
056107
1171105
21077102
0968999
Stop Event
iter limit
node limit
iter limit
Counts
17 → 912
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal -1/3 binary64) a)
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))
(sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(/.f64 b a)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) c)
(/.f64 #s(literal 3/2 binary64) b)
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 a b)
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) b) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(+.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b))
(+.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(+.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (*.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))) (/.f64 (/.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b))
(fma.f64 b (/.f64 #s(literal -1/3 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 b #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (*.f64 a #s(literal -3 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/3 binary64) a) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) b))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(neg.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 a)))
(neg.f64 (/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a))
(/.f64 #s(literal -1/3 binary64) (*.f64 a (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) a))
(/.f64 (/.f64 #s(literal -1/3 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 a #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -1/3 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (*.f64 #s(literal -1/3 binary64) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a)) (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) (*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (neg.f64 a)) (*.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64)))))) (*.f64 a #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (fma.f64 b b (fma.f64 b b (*.f64 c (*.f64 a #s(literal 3 binary64))))) (*.f64 a #s(literal -3 binary64)))))
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(*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 a c) #s(literal 1 binary64)))
(*.f64 c (*.f64 a #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) c) a)
(*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))
(*.f64 (sqrt.f64 c) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)))
(*.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (*.f64 a #s(literal -3 binary64)) c)
(*.f64 (*.f64 a c) #s(literal -3 binary64))
(*.f64 (sqrt.f64 a) (pow.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 a) (sqrt.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (pow.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c)))))
(*.f64 (sqrt.f64 (*.f64 a c)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (*.f64 a c))))
(*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (*.f64 a #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)) (sqrt.f64 c))
(*.f64 (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 a) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) c) #s(literal 1 binary64)) a)
(*.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) #s(literal -3 binary64))
(*.f64 (pow.f64 (sqrt.f64 c) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a) #s(literal 1/2 binary64)) (sqrt.f64 a))
(*.f64 (pow.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c)))
(*.f64 (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a c) (*.f64 a c)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a c)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64)) a)) (sqrt.f64 a))
(*.f64 (sqrt.f64 (*.f64 a (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 (*.f64 #s(literal -3 binary64) c)))
(*.f64 (sqrt.f64 (*.f64 a a)) (sqrt.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 c c) #s(literal 9 binary64))) (sqrt.f64 (*.f64 a a)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a c))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 a)) (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) (*.f64 (sqrt.f64 a) (sqrt.f64 a)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 c #s(literal -1 binary64)) (*.f64 a #s(literal 3 binary64)))
(*.f64 (*.f64 c #s(literal 3 binary64)) (neg.f64 a))
(*.f64 (*.f64 c (neg.f64 a)) #s(literal 3 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 a)) (sqrt.f64 (*.f64 #s(literal -3 binary64) c)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 a))
(*.f64 (*.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (*.f64 c (sqrt.f64 (*.f64 a #s(literal -3 binary64)))) (sqrt.f64 (*.f64 a #s(literal -3 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 a)) (sqrt.f64 #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 a))

simplify408.0ms (3.9%)

Memory
-20.7MiB live, 736.4MiB allocated
Algorithm
egg-herbie
Rules
10 190×lower-fma.f64
10 190×lower-fma.f32
8 172×lower-*.f64
8 172×lower-*.f32
2 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06095170
119295143
265595091
080454924
Stop Event
iter limit
node limit
Counts
432 → 429
Calls
Call 1
Inputs
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2/3 (/ b a))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(* -1/2 (/ c b))
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))))
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(/ -1/3 a)
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(- b (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3)))
(* 3/2 (/ (* a c) b))
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b)
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 3/2 (/ (* a c) b))
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b))))
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* 3/2 (/ (* a c) b))
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b))))
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -3)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))))
b
(+ b (* -3/2 (/ (* a c) b)))
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))))
(* (sqrt (* a c)) (sqrt -3))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3)))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5)))))))))
b
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(* 2/3 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 1/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(* 3/2 (/ c b))
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ 3/2 b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(* -2/3 (/ b a))
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(/ a b)
(* (sqrt (* a c)) (sqrt -3))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3)))
(* -1 b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -3) b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -3) b))))))
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(* (sqrt (* a c)) (sqrt -3))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(- (* (sqrt (* a c)) (sqrt -3)) b)
(* (sqrt (* a c)) (sqrt -3))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a))))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(* -1/3 (/ b a))
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))
(* b (- (* 1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a))))
(* -1/3 (/ b a))
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))
(* -1 (* b (+ (* -1/3 (* (sqrt (/ c a)) (/ (sqrt -3) b))) (* 1/3 (/ 1 a)))))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* (sqrt (* a c)) (sqrt -3))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
(* -3 (* a c))
Outputs
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c (*.f64 c a))) (*.f64 b (*.f64 b b))))
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 c b) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a (*.f64 #s(literal -9/16 binary64) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) (*.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 b #s(literal 1/3 binary64))) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (*.f64 b #s(literal 1/3 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c (*.f64 c a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 #s(literal 3 binary64)))) a)) a))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (/.f64 b (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/72 binary64))) (/.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (*.f64 b b)) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) c))) b)
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 c (*.f64 c a)) (*.f64 b b)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) c)))) b)
(* -2/3 (/ b a))
(/.f64 (*.f64 #s(literal -2/3 binary64) b) a)
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a))) (neg.f64 b))
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))))
(*.f64 (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 c c) (*.f64 c (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) a)))) (neg.f64 b))
(* -1/2 (/ c b))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b)
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
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(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c a)))))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 b (*.f64 c a))))
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a)
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a)
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a)
(* 1/3 (/ (- (* (sqrt (* a c)) (sqrt -3)) b) a))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b))) a)
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) b) a))
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (/.f64 b a)))
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 3 binary64))))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))
(* -3 (* a c))
(*.f64 a (*.f64 c #s(literal -3 binary64)))

eval158.0ms (1.5%)

Memory
36.8MiB live, 349.9MiB allocated
Compiler

Compiled 26 318 to 2 905 computations (89% saved)

prune252.0ms (2.4%)

Memory
-19.2MiB live, 404.3MiB allocated
Pruning

47 alts after pruning (41 fresh and 6 done)

PrunedKeptTotal
New1 319221 341
Fresh121931
Picked145
Done325
Total1 335471 382
Accuracy
99.8%
Counts
1 382 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.6%
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
18.8%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a))
14.3%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a))
16.9%
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) b) (*.f64 #s(literal 3 binary64) a))
34.6%
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
25.9%
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
54.7%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
26.0%
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
32.3%
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
11.3%
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
35.5%
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
34.5%
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
35.4%
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
2.6%
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
34.5%
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
11.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
2.6%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
35.4%
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
25.9%
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
35.4%
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
35.3%
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
2.6%
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
2.6%
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
11.3%
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
54.7%
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
34.5%
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
32.3%
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
11.3%
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
11.3%
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
11.0%
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
32.3%
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
11.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
11.3%
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
35.4%
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
28.1%
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
35.4%
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
33.0%
(*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
33.8%
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
2.6%
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
34.4%
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
2.6%
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
34.5%
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
22.3%
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
34.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
34.5%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
34.4%
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
Compiler

Compiled 1 554 to 710 computations (54.3% saved)

regimes137.0ms (1.3%)

Memory
1.3MiB live, 213.4MiB allocated
Counts
86 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 3 binary64))
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))
(/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 c))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 a (fma.f64 a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 a #s(literal -3/2 binary64)) b))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64)))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) #s(literal -1 binary64))) #s(literal 1/3 binary64))
(*.f64 c (fma.f64 (/.f64 (*.f64 c #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -1/2 binary64) b)))
Outputs
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

5 calls:

31.0ms
c
30.0ms
b
25.0ms
a
24.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
23.0ms
(*.f64 #s(literal 3 binary64) a)
Results
AccuracySegmentsBranch
59.2%3a
85.0%3b
56.6%2c
78.2%5(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
59.2%3(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes28.0ms (0.3%)

Memory
-8.1MiB live, 37.3MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) c)) (sqrt.f64 a) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a #s(literal -3 binary64))) (sqrt.f64 c) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 c (fma.f64 a (*.f64 (/.f64 c (*.f64 b (*.f64 b b))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) #s(literal -1/3 binary64))
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)))
Outputs
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

24.0ms
b
Results
AccuracySegmentsBranch
85.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory
3.2MiB live, 40.4MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal 1/3 binary64)) a)
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) #s(literal -1/3 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 3 binary64))
Outputs
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

19.0ms
b
Results
AccuracySegmentsBranch
85.0%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
12.3MiB live, 50.3MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(*.f64 c (/.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -1/2 binary64)) b))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 (*.f64 a c) (/.f64 #s(literal -3/2 binary64) b) b)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64))
Outputs
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

17.0ms
b
Results
AccuracySegmentsBranch
80.6%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Memory
-13.4MiB live, 64.3MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

16.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory
21.3MiB live, 59.2MiB allocated
Counts
53 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) a) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal -1/3 binary64)) a)
(/.f64 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))) b) (*.f64 #s(literal 3 binary64) a))
Outputs
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

15.0ms
b
Results
AccuracySegmentsBranch
80.5%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.3%)

Memory
7.0MiB live, 45.2MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 3/2 binary64) b)) (*.f64 a c))
(*.f64 (/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b)) a) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 a c) #s(literal -3/2 binary64)) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 c (fma.f64 #s(literal -2/3 binary64) (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1/2 binary64) b)))
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (/.f64 (*.f64 c #s(literal -3/2 binary64)) b)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (*.f64 c #s(literal 3/2 binary64))) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b) (*.f64 b #s(literal 2/3 binary64))) a)
Outputs
(fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

2 calls:

14.0ms
b
12.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
52.0%3(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
67.8%2b
Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes14.0ms (0.1%)

Memory
-17.2MiB live, 20.8MiB allocated
Counts
38 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(neg.f64 (*.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) (*.f64 b a))))
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 a c) #s(literal 1/3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 a b)))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) a)))
(*.f64 (/.f64 #s(literal 3/2 binary64) b) (/.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -1 binary64)))
Outputs
(/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
67.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b)
(*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
(*.f64 #s(literal 2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
(*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3/2 binary64) b)) c)
(*.f64 (*.f64 b #s(literal -2/3 binary64)) (/.f64 #s(literal -1 binary64) a))
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) #s(literal 1/3 binary64)) c)
(*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) c) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) b) (*.f64 c #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -2/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal 2/3 binary64)))
(*.f64 (/.f64 (*.f64 b #s(literal 2 binary64)) a) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal -3/2 binary64)) b) #s(literal 1/3 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal 1/3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) c) (*.f64 b #s(literal -2/3 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 c #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) b)))
(*.f64 (*.f64 (*.f64 c #s(literal 1/3 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 3/2 binary64)) c) #s(literal 1/3 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) b) c) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -2/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
(/.f64 #s(literal -1/3 binary64) (/.f64 b (*.f64 c #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) b) a))
(/.f64 (/.f64 (*.f64 c #s(literal 3/2 binary64)) b) #s(literal -3 binary64))
Outputs
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b)
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
67.6%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory
-15.2MiB live, 28.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(/.f64 (*.f64 b #s(literal 2/3 binary64)) a)
Outputs
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
Calls

5 calls:

7.0ms
(*.f64 #s(literal 3 binary64) a)
3.0ms
a
3.0ms
b
3.0ms
c
3.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
34.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
34.5%1c
34.5%1a
34.5%1(*.f64 #s(literal 3 binary64) a)
34.5%1b
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes15.0ms (0.1%)

Memory
-13.3MiB live, 25.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b)
(/.f64 b (*.f64 a #s(literal -3/2 binary64)))
(/.f64 b (*.f64 a #s(literal 3/2 binary64)))
Outputs
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
Calls

5 calls:

4.0ms
b
3.0ms
c
3.0ms
(*.f64 #s(literal 3 binary64) a)
2.0ms
a
2.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
34.5%1b
34.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
34.5%1c
34.5%1a
34.5%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory
18.1MiB live, 18.1MiB allocated
Accuracy

Total -21.0b remaining (-50%)

Threshold costs -21b (-50%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 #s(literal 2/3 binary64) (/.f64 b a))
Outputs
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
b
1.0ms
a
1.0ms
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Results
AccuracySegmentsBranch
34.5%1b
34.5%1(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
34.5%1c
34.5%1a
34.5%1(*.f64 #s(literal 3 binary64) a)
Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch59.0ms (0.6%)

Memory
-21.6MiB live, 114.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
1.8621217940569872e-59
3.193465221054295e-43
11.0ms
-2.934838707612162e+81
-1.4669478955840104e+81
Samples
15.0ms161×0valid
7.0ms37×2valid
5.0ms42×1valid
2.0ms25×0invalid
Compiler

Compiled 458 to 313 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (28.2% of total)
ival-div: 3.0ms (16.9% of total)
ival-sqrt: 3.0ms (16.9% of total)
adjust: 2.0ms (11.3% of total)
ival-sub: 2.0ms (11.3% of total)
ival-add: 2.0ms (11.3% of total)
ival-neg: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8621217940569872e-59
3.193465221054295e-43
7.0ms
-2.934838707612162e+81
-1.4669478955840104e+81
Samples
4.0ms64×0valid
0.0ms0invalid
Compiler

Compiled 473 to 343 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 1.0ms (31.9% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-4.6MiB live, 33.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.8621217940569872e-59
3.193465221054295e-43
18.0ms
-8.215318946766531e+60
-3.743253250646914e+55
Samples
11.0ms144×0valid
1.0ms0invalid
Compiler

Compiled 582 to 416 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.2% of total)
ival-div: 1.0ms (14.4% of total)
ival-add: 1.0ms (14.4% of total)
ival-sub: 1.0ms (14.4% of total)
ival-sqrt: 1.0ms (14.4% of total)
ival-neg: 1.0ms (14.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch40.0ms (0.4%)

Memory
-17.2MiB live, 61.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
2.6365986660953623e-61
6.337769918964908e-61
23.0ms
-9.252401534495177e-154
-8.097704675383126e-167
Samples
15.0ms200×0valid
4.0ms54×0invalid
4.0ms28×1valid
2.0ms12×2valid
Compiler

Compiled 493 to 368 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (30.2% of total)
ival-sub: 3.0ms (18.1% of total)
ival-div: 2.0ms (12.1% of total)
ival-sqrt: 2.0ms (12.1% of total)
ival-add: 2.0ms (12.1% of total)
adjust: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.6365986660953623e-61
6.337769918964908e-61
1.0ms
-9.252401534495177e-154
-8.097704675383126e-167
Compiler

Compiled 478 to 353 computations (26.2% saved)

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.6365986660953623e-61
6.337769918964908e-61
1.0ms
-9.252401534495177e-154
-8.097704675383126e-167
Compiler

Compiled 448 to 333 computations (25.7% saved)

bsearch23.0ms (0.2%)

Memory
4.1MiB live, 46.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-1.196192275304657e-308
6.4457230772407215e-308
Samples
13.0ms96×0valid
3.0ms45×0invalid
Compiler

Compiled 161 to 120 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (64.5% of total)
ival-div: 1.0ms (8.1% of total)
ival-add: 1.0ms (8.1% of total)
ival-sub: 1.0ms (8.1% of total)
ival-sqrt: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.196192275304657e-308
6.4457230772407215e-308
Compiler

Compiled 149 to 114 computations (23.5% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.196192275304657e-308
6.4457230772407215e-308
Compiler

Compiled 131 to 102 computations (22.1% saved)

simplify66.0ms (0.6%)

Memory
-2.3MiB live, 72.0MiB allocated
Algorithm
egg-herbie
Rules
428×distribute-lft-neg-in_binary64
394×unsub-neg_binary64
334×neg-mul-1_binary64
280×cancel-sign-sub_binary64
230×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080286
1107280
2129280
3190280
4305280
5467280
6705280
7984280
81181280
91334280
101461280
111562280
121646280
131681280
141707280
151709280
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
Outputs
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -1950000000000000046593019966806931072818483934639229916930177798083286472629157888 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -2899999999999999961279576700833706007865409252878411344260166570945286288206462976 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -7999999999999999595097082376592150935709160088107280584671232 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (if (<=.f64 b #s(literal 5935501858239885/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 c (*.f64 a #s(literal -3 binary64)))) b) (*.f64 a #s(literal 3 binary64))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (*.f64 (neg.f64 b) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a))) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (/.f64 #s(literal -1/3 binary64) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -3396566182339387/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (if (<=.f64 b #s(literal 578960446186581/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (-.f64 b (neg.f64 b)) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (/.f64 (+.f64 b b) a) #s(literal -3 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b #s(literal -2/3 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b))
(/.f64 (*.f64 b #s(literal -2/3 binary64)) a)
(*.f64 (/.f64 #s(literal -2/3 binary64) a) b)
(*.f64 b (/.f64 #s(literal -2/3 binary64) a))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))

soundness1.0s (9.9%)

Memory
-2.1MiB live, 723.1MiB allocated
Rules
10 788×lower-fma.f64
10 788×lower-fma.f32
10 362×lower-fma.f64
10 362×lower-fma.f32
10 152×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08118727
126678672
081548325
010089184
132489121
083448702
033111
056107
1171105
21077102
0968999
05603466
117673443
262153400
082643230
032175
058167
1212167
21558167
08218167
01251
02051
17149
252548
3683648
0812544
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 661 to 352 computations (46.7% saved)

preprocess109.0ms (1%)

Memory
-7.3MiB live, 147.1MiB allocated
Compiler

Compiled 606 to 184 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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