Cubic critical

Time bar (total: 8.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze162.0ms (2%)

Memory
-12.2MiB live, 178.0MiB allocated; 29ms collecting garbage
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)

sample1.9s (22.5%)

Memory
52.0MiB live, 1 419.2MiB allocated; 164ms collecting garbage
Samples
671.0ms5 572×0valid
368.0ms1 199×2valid
193.0ms1 313×1valid
89.0ms975×0invalid
61.0ms172×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 354.0ms (34.2% of total)
ival-sqrt: 142.0ms (13.7% of total)
adjust: 135.0ms (13.1% of total)
ival-div: 111.0ms (10.7% of total)
ival-neg: 109.0ms (10.5% of total)
ival-sub: 103.0ms (10% of total)
ival-add: 63.0ms (6.1% of total)
ival-true: 6.0ms (0.6% of total)
exact: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain265.0ms (3.2%)

Memory
-12.0MiB live, 215.8MiB allocated; 47ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-1(-1.465470249311755e-146 -2.7894223039079635e-291 1.228970900970316e-168)(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
570-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
181(2.1565141382290302e-297 4.69422714313666e+119 -1.4252567770058848e-203)3(8.29506133728944e-177 8.844048491948121e+142 -0.06565915513887888)(/.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))
30-0-(-.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-rescue1020
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow28
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))overflow102
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 b b)overflow83
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))cancellation570
/.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/n150
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow37
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
(*.f64 b b)underflow46
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))underflow28
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))uflow-rescue60
(*.f64 b b)underflow46
(*.f64 (*.f64 #s(literal 3 binary64) a) c)underflow37
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))underflow6
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))nan-rescue30
(*.f64 b b)overflow83
(*.f64 #s(literal 3 binary64) a)overflow1
(*.f64 (*.f64 #s(literal 3 binary64) a) c)overflow28
/.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))n/o10
(*.f64 #s(literal 3 binary64) a)overflow1
Confusion
Predicted +Predicted -
+1291
-21105
Precision
0.86
Recall
0.9923076923076923
Confusion?
Predicted +Predicted MaybePredicted -
+12901
-210105
Precision?
0.86
Recall?
0.9923076923076923
Freqs
test
numberfreq
0106
1116
234
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms344×0valid
28.0ms76×1valid
19.0ms80×2valid
4.0ms12×3valid
Compiler

Compiled 153 to 40 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 27.0ms (47.4% of total)
adjust: 7.0ms (12.3% of total)
ival-sqrt: 6.0ms (10.5% of total)
ival-div: 5.0ms (8.8% of total)
ival-sub: 4.0ms (7% of total)
ival-add: 4.0ms (7% of total)
ival-neg: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess33.0ms (0.4%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049158
1156151
2460151
3896151
41339151
51537151
61643151
01217
02017
13617
28917
318017
429017
537917
641517
746317
046316
Stop Event
iter limit
saturated
iter limit
saturated
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 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.1%
(/.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))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
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-diff1
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01266
02066
13666
28966
318066
429066
537966
641566
746366
046362
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 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 c (*.f64 a #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) a)
(*.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)
a
c

localize66.0ms (0.8%)

Memory
-11.1MiB live, 35.3MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.6054687500000001
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
accuracy3.6088053504935007
(/.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))
accuracy12.251445352983726
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
accuracy25.308705857295696
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Samples
24.0ms3valid
14.0ms172×0valid
12.0ms40×2valid
6.0ms38×1valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 6.0ms (29% of total)
adjust: 4.0ms (19.3% of total)
ival-div: 3.0ms (14.5% of total)
ival-sqrt: 3.0ms (14.5% of total)
ival-sub: 2.0ms (9.7% of total)
ival-add: 2.0ms (9.7% of total)
ival-neg: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Counts
5 → 98
Calls
Call 1
Inputs
(-.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))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
(* -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))))))))
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))))))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 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))))))
(* (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)))
(* 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 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -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 (* (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))))))
(* -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))))))))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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 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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* -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)))))))
(* -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))))))))
(* -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))))))))
(* 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))))
(* 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))))))))
(+ 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))))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* 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)))
(* 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 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* 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 (* 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))))))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
c
@-inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
b
@inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
a
@inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
3.0ms
a
@-inf
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))
2.0ms
b
@0
((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify206.0ms (2.5%)

Memory
-46.2MiB live, 103.5MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05603023
119423000
080642850
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* -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)))))))
(* -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))))))))
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))))))))
(* -3 (* a c))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* 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))))))
(* (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)))
(* 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 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -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 (* (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))))))
(* -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))))))))
(- (pow b 2) (* 3 (* a c)))
(+ (* 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 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)))
(* -1 b)
(+ (* 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)))))))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* -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)))))))
(* -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))))))))
(* -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))))))))
(* 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))))
(* 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))))))))
(+ 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))))))))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* 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)))))))
(* 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)))
(* 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 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -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 (* 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 (* 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
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(* -1/2 (/ c b))
(*.f64 (/.f64 c b) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c)))
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)) c))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))

rewrite192.0ms (2.3%)

Memory
14.5MiB live, 113.4MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
02051
16551
248350
3583349
0885345
Stop Event
iter limit
node limit
iter limit
Counts
5 → 383
Calls
Call 1
Inputs
(-.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))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
(neg.f64 b)
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
Outputs
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))))
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))

eval86.0ms (1%)

Memory
17.1MiB live, 62.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 17 801 to 2 122 computations (88.1% saved)

prune38.0ms (0.5%)

Memory
-10.7MiB live, 36.3MiB allocated; 1ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46315478
Fresh000
Picked101
Done000
Total46415479
Accuracy
89.8%
Counts
479 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) a) #s(literal -3 binary64))
52.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
25.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
13.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a))
49.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
38.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
27.8%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
34.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))
26.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
34.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
34.3%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
31.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
34.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Compiler

Compiled 796 to 572 computations (28.1% saved)

simplify115.0ms (1.4%)

Memory
15.8MiB live, 62.1MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
cost-diff2
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
cost-diff0
(/.f64 (/.f64 c b) b)
cost-diff0
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
cost-diff3
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
cost-diff0
(/.f64 b a)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
cost-diff0
(neg.f64 b)
cost-diff0
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
cost-diff1
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044372
072370
1124360
2269360
3570360
41326356
52635348
63986340
75776340
86466340
96763340
107220340
08260338
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
#s(literal -3 binary64)
a
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))
#s(literal -3 binary64)
c
(/.f64 (*.f64 b b) a)
(*.f64 b b)
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(*.f64 #s(literal -3 binary64) a)
(*.f64 a #s(literal -3 binary64))
#s(literal -3 binary64)
a
c
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
#s(literal -2/3 binary64)
(/.f64 b a)
b
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
(fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(/.f64 c b)
c
b
#s(literal -1/2 binary64)
(/.f64 #s(literal 2/3 binary64) a)
#s(literal 2/3 binary64)
a
(neg.f64 b)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) b)
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))
#s(approx (- (* b b) (* (* 3 a) c)) (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a))
(fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b))
#s(literal -3 binary64)
c
(/.f64 (*.f64 b b) a)
(*.f64 (/.f64 b a) b)
(*.f64 b b)
a
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize166.0ms (2%)

Memory
-8.3MiB live, 87.5MiB allocated; 7ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy4.329269253840345
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
accuracy7.4792467540650165
(/.f64 (*.f64 b b) a)
accuracy12.251445352983726
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
accuracy25.308705857295696
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))
accuracy0.12109375
(/.f64 (/.f64 c b) b)
accuracy0.41015625
(/.f64 #s(literal 2/3 binary64) a)
accuracy5.54456197011859
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
accuracy41.8701111521951
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
accuracy3.6088053504935007
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy12.251445352983726
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
accuracy20.1304704502372
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
accuracy25.308705857295696
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
accuracy0.0
(/.f64 b a)
accuracy0.25
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
accuracy42.04246589333842
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
accuracy0.07421875
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
accuracy3.6088053504935007
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
accuracy12.251445352983726
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
accuracy25.308705857295696
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
Samples
63.0ms163×0valid
29.0ms43×2valid
21.0ms42×1valid
7.0ms3valid
Compiler

Compiled 302 to 36 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 23.0ms (25.2% of total)
ival-mult: 18.0ms (19.7% of total)
ival-sqrt: 18.0ms (19.7% of total)
adjust: 11.0ms (12.1% of total)
const: 8.0ms (8.8% of total)
ival-add: 8.0ms (8.8% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series76.0ms (0.9%)

Memory
-16.9MiB live, 28.5MiB allocated; 4ms collecting garbage
Counts
22 → 119
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(/.f64 #s(literal 2/3 binary64) a)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))
(/.f64 (*.f64 b b) a)
Outputs
(* -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))))))))
(* -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)))))))
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))))))))
(* -2/3 (/ b a))
(/ b a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(/ (pow b 2) a)
(* (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)))
(* 1/3 (* (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))))))
(* 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))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -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))))))
(* -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 (* 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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -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)))
(+ (* 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 b)
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ c (pow b 2))
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -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))))))))
(* -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 (* 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))))))))
(* 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))))))))
(* 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))))
(+ 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))))))))
(* 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)))
(* 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)))))))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
Calls

9 calls:

TimeVariablePointExpression
47.0ms
c
@0
((+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (* -3 a) c) (* b b)) (- (* b b) (* (* 3 a) c)) (/ 2/3 a) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* b b) a))
5.0ms
a
@inf
((+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (* -3 a) c) (* b b)) (- (* b b) (* (* 3 a) c)) (/ 2/3 a) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* b b) a))
3.0ms
b
@inf
((+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (* -3 a) c) (* b b)) (- (* b b) (* (* 3 a) c)) (/ 2/3 a) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* b b) a))
3.0ms
a
@0
((+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (* -3 a) c) (* b b)) (- (* b b) (* (* 3 a) c)) (/ 2/3 a) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* b b) a))
3.0ms
a
@-inf
((+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/ (/ c b) b) (* (+ (* -3 c) (/ (* b b) a)) a) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (* -3 a) c) (* b b)) (- (* b b) (* (* 3 a) c)) (/ 2/3 a) (sqrt (- (* b b) (* (* 3 a) c))) (/ (* b b) a))

simplify197.0ms (2.4%)

Memory
28.1MiB live, 122.4MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06053242
120893219
084753056
Stop Event
iter limit
node limit
Counts
119 → 118
Calls
Call 1
Inputs
(* -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))))))))
(* -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)))))))
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))))))))
(* -2/3 (/ b a))
(/ b a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/ 2/3 a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(/ (pow b 2) a)
(* (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)))
(* 1/3 (* (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))))))
(* 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))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1/2 (/ c (pow b 2)))
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -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))))))
(* -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 (* 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))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(+ (* -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)))
(+ (* 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 b)
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2))
(/ c (pow b 2))
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* -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))))))))
(* -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 (* 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))))))))
(* 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))))))))
(* 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))))
(+ 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))))))))
(* 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)))
(* 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)))))))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
Outputs
(* -3/2 (/ (* a c) b))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 (*.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
b
(+ b (* -3/2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b)
(* -2/3 (/ b a))
(*.f64 (/.f64 b a) #s(literal -2/3 binary64))
(/ b a)
(/.f64 b a)
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)
(/ 2/3 a)
(/.f64 #s(literal 2/3 binary64) a)
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a)
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -1/2 binary64) #s(literal 2/3 binary64)) a)
(pow b 2)
(*.f64 b b)
(+ (* -3 (* a c)) (pow b 2))
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b))
(/ (pow b 2) a)
(*.f64 b (/.f64 b a))
(* (sqrt (* a c)) (sqrt -3))
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))
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(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b 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 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) b) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))

rewrite235.0ms (2.8%)

Memory
13.4MiB live, 202.0MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044293
072293
1236284
21817284
08245284
Stop Event
iter limit
node limit
iter limit
Counts
22 → 628
Calls
Call 1
Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
(*.f64 #s(literal -2/3 binary64) (/.f64 b a))
(/.f64 b a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))
(/.f64 (/.f64 c b) b)
(*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(/.f64 #s(literal 2/3 binary64) a)
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))
(/.f64 (*.f64 b b) a)
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))))
(/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))))))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))))))
(fma.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b))
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (neg.f64 b))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 b))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 1/2 binary64)) (neg.f64 b))
(fma.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))
(-.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))) c))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 a #s(literal -3 binary64))))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fabs.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b)))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 c (*.f64 b b)))))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))))
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(/.f64 #s(literal 2/3 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 2/3 binary64) a)
(/.f64 #s(literal -2/3 binary64) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 #s(literal -2/3 binary64) (neg.f64 a))
(neg.f64 (/.f64 #s(literal -2/3 binary64) a))
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) #s(literal 1 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))))))
(*.f64 (/.f64 b a) b)
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) a))
(*.f64 b (/.f64 b a))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 (neg.f64 a))))
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))
(/.f64 (*.f64 b b) (neg.f64 (neg.f64 a)))
(/.f64 (*.f64 b b) a)
(neg.f64 (/.f64 (*.f64 (neg.f64 b) b) a))

eval143.0ms (1.7%)

Memory
-35.1MiB live, 152.1MiB allocated; 22ms collecting garbage
Compiler

Compiled 34 462 to 3 303 computations (90.4% saved)

prune30.0ms (0.4%)

Memory
19.5MiB live, 66.8MiB allocated; 2ms collecting garbage
Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New73318751
Fresh4610
Picked325
Done000
Total74026766
Accuracy
89.9%
Counts
766 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
33.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
34.1%
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64))))
52.0%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
52.0%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
27.7%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
22.5%
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
49.7%
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
52.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
38.2%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
26.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
34.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
27.5%
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
51.0%
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
31.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
34.4%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
28.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 1 487 to 993 computations (33.2% saved)

simplify122.0ms (1.5%)

Memory
-1.4MiB live, 142.7MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
cost-diff0
(*.f64 b b)
cost-diff6
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
cost-diff7
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
cost-diff0
(neg.f64 c)
cost-diff0
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
cost-diff1
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
cost-diff0
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
cost-diff0
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
cost-diff0
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
cost-diff0
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053425
082425
1154421
2415411
31464398
45239397
08170390
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 a b)
a
b
#s(literal -3/2 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(neg.f64 c)
c
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 2/3 binary64) c)
#s(literal 2/3 binary64)
(/.f64 b a)
b
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -3 binary64)
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(*.f64 (/.f64 c b) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 c b)
c
b
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (/.f64 a b))
(/.f64 a b)
a
b
#s(literal -3/2 binary64)
c
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1/2 binary64) b)) c))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
(*.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1/2 binary64) b)) c)
(neg.f64 c)
c
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (/.f64 b c) (/.f64 #s(literal 2/3 binary64) a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 2/3 binary64) c)
#s(literal 2/3 binary64)
(/.f64 b a)
b
a
(/.f64 #s(literal -1/2 binary64) b)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (*.f64 c #s(literal 1 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 3 binary64) a) c)
(*.f64 b b)
b
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -3 binary64)
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(neg.f64 b)
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize251.0ms (3%)

Memory
-2.5MiB live, 234.0MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.57044968538317
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
accuracy22.332402181218093
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
accuracy25.308705857295696
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
accuracy35.24707638985899
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
accuracy0.37890625
(/.f64 #s(literal 2/3 binary64) c)
accuracy3.4361268489403436
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
accuracy7.470459789274044
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
accuracy41.8701111521951
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
accuracy0.21484375
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
accuracy3.6088053504935007
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
accuracy5.548892860496385
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
accuracy41.95269488646445
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
accuracy0.0
(/.f64 c b)
accuracy0.00390625
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
accuracy41.38586421577452
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
accuracy41.8701111521951
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
accuracy0.6562500000000001
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
accuracy3.3859608588416656
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
accuracy12.251445352983726
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
accuracy25.308705857295696
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
Samples
101.0ms81×2valid
50.0ms70×1valid
46.0ms90×0valid
15.0ms15×3valid
Compiler

Compiled 355 to 47 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 47.0ms (27.2% of total)
const: 37.0ms (21.4% of total)
ival-div: 29.0ms (16.8% of total)
adjust: 26.0ms (15% of total)
ival-sqrt: 14.0ms (8.1% of total)
ival-add: 10.0ms (5.8% of total)
ival-sub: 7.0ms (4.1% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series79.0ms (1%)

Memory
20.4MiB live, 66.1MiB allocated; 5ms collecting garbage
Counts
23 → 197
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))))
(neg.f64 c)
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 2/3 binary64) c)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
Outputs
(* -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)))))))
(* -1/2 (/ (* 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))))))))
(* -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))))))))
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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -3/2 (/ a b))
(* 3 (* a c))
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(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 2/3 (/ b (* a c)))
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a)
(* -2 b)
(- (* 3/2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) (* 2 b))
(* 1/3 (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))
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(* 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)))))))
(* (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)))
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
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(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
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(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ -1/2 b)
(- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -1 (* (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))))
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a)))
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(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
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(* -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))))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
(+ (* 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)))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* -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)))
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ c b)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
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(/ (- (* 2/3 (/ (pow b 2) (* a c))) 1/2) b)
(- (* -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)))
(/ (+ (* -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)
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* -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)))))))
(* -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 (* 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))))))))
(* -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))))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b))
(* -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))
(* -1 (/ (- (* 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))
(* 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))))
(* 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))))))))
(* 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))))))))
(+ 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))))))))
(* -1 c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(/ (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) c)
(/ 2/3 c)
(- (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) (* 2 b))
(* 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)))))))
(* 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)))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* 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 (* 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 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
Calls

9 calls:

TimeVariablePointExpression
30.0ms
b
@-inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (neg c) (- (* b b) (+ (* (* c a) -3) (* b b))) (/ (- (* b b) (+ (* (* c a) -3) (* b b))) (* (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))) (* 3 a))) (* b b) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ 2/3 c) (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))))
9.0ms
a
@inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (neg c) (- (* b b) (+ (* (* c a) -3) (* b b))) (/ (- (* b b) (+ (* (* c a) -3) (* b b))) (* (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))) (* 3 a))) (* b b) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ 2/3 c) (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))))
6.0ms
c
@-inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (neg c) (- (* b b) (+ (* (* c a) -3) (* b b))) (/ (- (* b b) (+ (* (* c a) -3) (* b b))) (* (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))) (* 3 a))) (* b b) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ 2/3 c) (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))))
6.0ms
c
@inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (neg c) (- (* b b) (+ (* (* c a) -3) (* b b))) (/ (- (* b b) (+ (* (* c a) -3) (* b b))) (* (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))) (* 3 a))) (* b b) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ 2/3 c) (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))))
5.0ms
a
@-inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* 1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (neg c) (- (* b b) (+ (* (* c a) -3) (* b b))) (/ (- (* b b) (+ (* (* c a) -3) (* b b))) (* (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))) (* 3 a))) (* b b) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ 2/3 c) (- (neg b) (sqrt (+ (* (* c a) -3) (* b b)))))

simplify263.0ms (3.2%)

Memory
-3.3MiB live, 196.3MiB allocated; 103ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010736101
138306036
082095768
Stop Event
iter limit
node limit
Counts
197 → 196
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)))))))
(* -1/2 (/ (* 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))))))))
(* -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))))))))
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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -3/2 (/ a b))
(* 3 (* a c))
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* a (+ (* -27/32 (/ (pow c 4) (pow b 7))) (* -27/128 (/ (pow c 4) (pow b 7))))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 2/3 (/ b (* a c)))
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a)
(* -2 b)
(- (* 3/2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) (* 2 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 (* 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)))))))
(* (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)))
(* 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))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (/ b (pow (sqrt -3) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -3)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -3) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (/ b (pow (sqrt -3) 2))))))) a)
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ -1/2 b)
(- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* -1 (* (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)))))
(* -1/3 (* (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 (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -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))))))
(* -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))))))))
(* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (/ b (pow (sqrt 3) 2))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) (sqrt 3)))) (* -1 (/ (+ (* -1 (/ (* a b) (pow (sqrt 3) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt 3) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))
(* -1 (* a (- (/ b a) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
(+ (* 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)))))
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(+ (* -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)))
(+ (* 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)))))))))
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ c b)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (/ b (* a (pow (sqrt -3) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -3) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -3) 3))))))) (/ 1 (* a (pow (sqrt -3) 2))))))
(/ (- (* 2/3 (/ (pow b 2) (* a c))) 1/2) b)
(- (* -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)))
(/ (+ (* -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)
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(/ (+ (* -27/32 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -27/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) b)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))
(* 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)))))))
(* -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)))))))
(* -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 (* 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))))))))
(* -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))))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2)))) (pow b 4))) (* 2/3 (/ 1 a))) (* 1/2 (/ c (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -3/4 (* a (* c (+ (* -3/8 (* a (pow c 2))) (* 3/4 (* a (pow c 2))))))) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* 2/9 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (* 2/3 (/ 1 a))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 3/4 (/ (* a (pow c 2)) (pow b 4))))))))
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* -1 (/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b))
(* -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))
(* -1 (/ (- (* 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))
(* 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))))
(* 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))))))))
(* 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))))))))
(+ 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))))))))
(* -1 c)
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* c (+ (* -27/32 (/ (pow a 3) (pow b 7))) (* -27/128 (/ (pow a 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(/ (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) c)
(/ 2/3 c)
(- (* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) (* 2 b))
(* 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)))))))
(* 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)))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -3) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -3)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))) (sqrt -3)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -3) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -3) 3))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* 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 (* 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 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -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 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(* -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))))))
Outputs
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(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
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(* c (+ (* -3 a) (/ (pow b 2) c)))
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(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3))))
(*.f64 (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c)
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(* 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)))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c))))))
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(* -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)))))))
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(* -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)))))))
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c))))
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 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))))))
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(* -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))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c))))
(* -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 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))
(* -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))))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(+ (* -1 (/ b (* a (pow (sqrt 3) 2)))) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 b b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 b c) a))) (neg.f64 c)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))) (* -1/2 (/ (* (pow b 3) c) (* (pow a 2) (pow (sqrt 3) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* -1 (/ (* b c) (* a (pow (sqrt 3) 2))))) c)) (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
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(* -1 (* c (- (/ b c) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))
(* -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))))))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))))) (neg.f64 c)) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))

rewrite239.0ms (2.9%)

Memory
-17.8MiB live, 218.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053341
082328
1269324
22204324
09339320
Stop Event
iter limit
node limit
iter limit
Counts
23 → 690
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b))
(/.f64 c b)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))))
(neg.f64 c)
(-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(*.f64 b b)
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
(/.f64 #s(literal 2/3 binary64) c)
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))
Outputs
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) a) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) a))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (neg.f64 b) b))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) (*.f64 b b))) (pow.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) a) (*.f64 a (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))))) (*.f64 a a))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)))) (*.f64 a (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) a)) (*.f64 a (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 a (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 a (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 a (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 a (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (*.f64 a (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 a (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) a) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) a))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (*.f64 #s(literal 3 binary64) a)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) a)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) a) a))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 2/3 binary64) c) (neg.f64 b)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 (/.f64 b a) #s(literal 2/3 binary64))))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) c) b)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a c)) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 #s(literal 2/3 binary64) b)))) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (*.f64 a c))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 c)) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) (neg.f64 c))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 b) #s(literal 2/3 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 a) c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2/3 binary64) (neg.f64 b)))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) (neg.f64 a))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 2/3 binary64) (neg.f64 b)))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 c (neg.f64 a))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2/3 binary64) b))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 c)) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 b #s(literal -2/3 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a (neg.f64 c))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) c (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))) (*.f64 (neg.f64 (neg.f64 b)) c))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (/.f64 #s(literal 2/3 binary64) c) b))) (*.f64 (neg.f64 (neg.f64 b)) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a c) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 2/3 binary64) b))) (*.f64 (neg.f64 (neg.f64 b)) (*.f64 a c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 b (*.f64 (neg.f64 b) (/.f64 #s(literal 2/3 binary64) c)))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 b (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))) (*.f64 b (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 b (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))) (*.f64 b (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 b (*.f64 (/.f64 #s(literal 2/3 binary64) c) (neg.f64 b)))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 c) (*.f64 b (neg.f64 (*.f64 (/.f64 b a) #s(literal 2/3 binary64))))) (*.f64 b (neg.f64 c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 a) (*.f64 b (neg.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) c) b)))) (*.f64 b (neg.f64 a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a c)) (*.f64 b (neg.f64 (*.f64 #s(literal 2/3 binary64) b)))) (*.f64 b (neg.f64 (*.f64 a c))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) (neg.f64 c)) (*.f64 b (*.f64 (neg.f64 b) #s(literal -2/3 binary64)))) (*.f64 b (*.f64 (neg.f64 a) (neg.f64 c))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 a) c) (*.f64 b (*.f64 (neg.f64 b) #s(literal 2/3 binary64)))) (*.f64 b (*.f64 (neg.f64 a) c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) (neg.f64 a)) (*.f64 b (*.f64 #s(literal -2/3 binary64) (neg.f64 b)))) (*.f64 b (*.f64 (neg.f64 c) (neg.f64 a))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 c (neg.f64 a)) (*.f64 b (*.f64 #s(literal 2/3 binary64) (neg.f64 b)))) (*.f64 b (*.f64 c (neg.f64 a))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 c) a) (*.f64 b (*.f64 #s(literal -2/3 binary64) b))) (*.f64 b (*.f64 (neg.f64 c) a)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (neg.f64 c)) (*.f64 b (*.f64 b #s(literal -2/3 binary64)))) (*.f64 b (*.f64 a (neg.f64 c))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)))))))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 2/3 binary64)) (neg.f64 b) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 c (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 b a) #s(literal 2/3 binary64)) b (*.f64 c #s(literal -1/2 binary64))) (*.f64 c b))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) c) b) (neg.f64 b) (*.f64 a #s(literal 1/2 binary64))) (*.f64 a (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2/3 binary64) c) b) b (*.f64 a #s(literal -1/2 binary64))) (*.f64 a b))
(/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal 1/2 binary64))) (*.f64 (*.f64 a c) (neg.f64 b)))
(/.f64 (fma.f64 (*.f64 #s(literal 2/3 binary64) b) b (*.f64 (*.f64 a c) #s(literal -1/2 binary64))) (*.f64 (*.f64 a c) b))
(/.f64 (fma.f64 #s(literal 1/2 binary64) c (*.f64 (neg.f64 b) (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))) (*.f64 (neg.f64 b) c))
(/.f64 (fma.f64 #s(literal 1/2 binary64) a (*.f64 (neg.f64 b) (*.f64 (/.f64 #s(literal 2/3 binary64) c) b))) (*.f64 (neg.f64 b) a))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a c) (*.f64 (neg.f64 b) (*.f64 #s(literal 2/3 binary64) b))) (*.f64 (neg.f64 b) (*.f64 a c)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) c (*.f64 b (*.f64 (/.f64 b a) #s(literal 2/3 binary64)))) (*.f64 b c))
(/.f64 (fma.f64 #s(literal -1/2 binary64) a (*.f64 b (*.f64 (/.f64 #s(literal 2/3 binary64) c) b))) (*.f64 b a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a c) (*.f64 b (*.f64 #s(literal 2/3 binary64) b))) (*.f64 b (*.f64 a c)))
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b)))
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c))))))
(fma.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 (/.f64 #s(literal 2/3 binary64) a) (/.f64 b c) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 #s(literal 2/3 binary64) (/.f64 (/.f64 b a) c) (/.f64 #s(literal -1/2 binary64) b))
(fma.f64 #s(literal 2/3 binary64) (/.f64 b (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b))
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b))))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (neg.f64 (/.f64 b a)) (/.f64 #s(literal 2/3 binary64) c)))
(-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) c)) (/.f64 b a)))
(+.f64 (/.f64 (*.f64 #s(literal 8/27 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 3 binary64))) (fma.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)))))) (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) b) #s(literal 3 binary64)) (fma.f64 #s(literal 4/9 binary64) (pow.f64 (/.f64 (/.f64 b a) c) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (-.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)))))))
(+.f64 (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)) (/.f64 #s(literal -1/2 binary64) b))
(+.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 (/.f64 b a) (/.f64 #s(literal 2/3 binary64) c)))
(/.f64 #s(literal -2/3 binary64) (neg.f64 c))
(/.f64 #s(literal 2/3 binary64) (neg.f64 (neg.f64 c)))
(/.f64 #s(literal 2/3 binary64) c)
(neg.f64 (/.f64 #s(literal -2/3 binary64) c))
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))
(*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))

eval163.0ms (2%)

Memory
13.3MiB live, 201.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 49 874 to 5 095 computations (89.8% saved)

prune77.0ms (0.9%)

Memory
-6.3MiB live, 95.5MiB allocated; 9ms collecting garbage
Pruning

35 alts after pruning (32 fresh and 3 done)

PrunedKeptTotal
New1 076181 094
Fresh51419
Picked415
Done022
Total1 085351 120
Accuracy
90.1%
Counts
1 120 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
33.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
51.1%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 9 binary64)) a)
52.0%
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
27.7%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
33.7%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) #s(literal 3 binary64)) a)
34.2%
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
34.4%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
22.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
49.7%
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
52.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
29.4%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
34.2%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
40.4%
(/.f64 #s(approx (- (* b b) (+ (* (* c a) -3) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
26.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
34.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
27.5%
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
51.0%
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
32.0%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
34.1%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
34.4%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
31.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
28.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
28.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 2 045 to 1 400 computations (31.5% saved)

simplify80.0ms (1%)

Memory
19.8MiB live, 66.9MiB allocated; 2ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
cost-diff0
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))
cost-diff0
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
cost-diff3
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
cost-diff0
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
cost-diff0
(neg.f64 c)
cost-diff0
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
cost-diff0
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))))
cost-diff0
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
cost-diff0
(/.f64 c b)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
cost-diff0
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
cost-diff0
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
cost-diff0
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
cost-diff0
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
cost-diff0
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066477
095477
1178471
2399471
3933469
42527457
55218457
67874457
08024447
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
c
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
#s(literal -1/2 binary64)
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
(neg.f64 c)
c
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
(*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))
(/.f64 (/.f64 b a) c)
(/.f64 b a)
b
a
#s(literal 2/3 binary64)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
b
(neg.f64 b)
a
#s(literal 3 binary64)
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
(neg.f64 b)
b
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(/.f64 a b)
a
#s(literal -3/2 binary64)
(/.f64 c b)
c
#s(literal 2 binary64)
#s(literal 3 binary64)
Outputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(*.f64 c a)
(*.f64 a c)
c
a
#s(literal -3 binary64)
(*.f64 b b)
b
(neg.f64 b)
#s(literal 3 binary64)
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c)
#s(literal -1/2 binary64)
(/.f64 c b)
c
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) c) a) b)) (neg.f64 c))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) c) a) b)) (neg.f64 c)))
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
(*.f64 #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) c) a) b)) (neg.f64 c))
(neg.f64 c)
c
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) c) a) b))
(*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 2/3 binary64) c) a) b)
(/.f64 (/.f64 b a) c)
(/.f64 b a)
b
a
#s(literal 2/3 binary64)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(*.f64 b b)
b
(neg.f64 b)
a
#s(literal 3 binary64)
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (fma.f64 (*.f64 a c) (/.f64 #s(literal 3/2 binary64) b) (*.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (fma.f64 (*.f64 a c) (/.f64 #s(literal 3/2 binary64) b) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64))
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (fma.f64 (*.f64 a c) (/.f64 #s(literal 3/2 binary64) b) (*.f64 #s(literal -2 binary64) b)))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
(fma.f64 (*.f64 a c) (/.f64 #s(literal 3/2 binary64) b) (*.f64 #s(literal -2 binary64) b))
(neg.f64 b)
b
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (/.f64 c b) #s(literal 2 binary64))
(*.f64 (/.f64 a b) #s(literal -3/2 binary64))
(*.f64 #s(literal -3/2 binary64) (/.f64 a b))
(/.f64 a b)
a
#s(literal -3/2 binary64)
(/.f64 c b)
c
#s(literal 2 binary64)
#s(literal 3 binary64)

localize237.0ms (2.9%)

Memory
-28.0MiB live, 210.6MiB allocated; 20ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.9580759734765357
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))
accuracy3.3859608588416656
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
accuracy4.494333339875861
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
accuracy41.855722931501624
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
accuracy3.308843541556418
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
accuracy12.251445352983726
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
accuracy20.1304704502372
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
accuracy25.308705857295696
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
accuracy5.543676483668095
(/.f64 (/.f64 b a) c)
accuracy7.470459789274044
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
accuracy22.029908565789807
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
accuracy41.8701111521951
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
accuracy0.0
(/.f64 c b)
accuracy0.00390625
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
accuracy41.97933504692534
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
accuracy0.6562500000000001
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
accuracy3.308843541556418
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
accuracy12.251445352983726
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
accuracy25.308705857295696
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
Samples
74.0ms172×0valid
49.0ms38×1valid
38.0ms40×2valid
7.0ms3valid
Compiler

Compiled 345 to 52 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div: 41.0ms (30.5% of total)
ival-mult: 34.0ms (25.3% of total)
adjust: 33.0ms (24.6% of total)
ival-add: 11.0ms (8.2% of total)
ival-sqrt: 6.0ms (4.5% of total)
const: 5.0ms (3.7% of total)
ival-sub: 2.0ms (1.5% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series69.0ms (0.8%)

Memory
0.2MiB live, 50.5MiB allocated; 6ms collecting garbage
Counts
24 → 197
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
(neg.f64 c)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
(/.f64 (/.f64 b a) c)
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))
Outputs
(* -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)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -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)))))))
(* -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))))))))
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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 2/3 (/ b (* a c)))
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a)
(/ b (* a c))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* 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))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b 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)))))
(* (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)))
(* 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))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 3/2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c 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)))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ -1/2 b)
(- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3/2 (/ (* a c) (pow b 2)))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -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)))
(* -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))))))
(* -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))))))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(+ (* 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)))))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (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)))
(+ (* 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)))))))))
(/ c b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(/ (- (* 2/3 (/ (pow b 2) (* a c))) 1/2) b)
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -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)
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(/ (+ (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -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)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* 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)))))))
(* -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))))))))
(* -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)
(* -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 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* 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))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 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))))))))
(+ 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))))))))
(* -1 c)
(* 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))))))))
(/ (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) c)
(* 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)))))))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a 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))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* 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)))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -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 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* (sqrt (/ 1 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -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 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
Calls

9 calls:

TimeVariablePointExpression
37.0ms
c
@0
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (* -1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (neg c) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ (/ b a) c) (- (* b b) (* (* 3 a) c)) (+ (* (* (/ a b) -3/2) (/ c b)) 2))
4.0ms
c
@-inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (* -1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (neg c) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ (/ b a) c) (- (* b b) (* (* 3 a) c)) (+ (* (* (/ a b) -3/2) (/ c b)) 2))
4.0ms
c
@inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (* -1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (neg c) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ (/ b a) c) (- (* b b) (* (* 3 a) c)) (+ (* (* (/ a b) -3/2) (/ c b)) 2))
4.0ms
a
@-inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (* -1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (neg c) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ (/ b a) c) (- (* b b) (* (* 3 a) c)) (+ (* (* (/ a b) -3/2) (/ c b)) 2))
4.0ms
b
@inf
((/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (sqrt (+ (* (* c a) -3) (* b b))) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (* -1/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (* (neg c) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b))) (neg c) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (+ (* (* c a) -3) (* b b)) (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (/ (/ b a) c) (- (* b b) (* (* 3 a) c)) (+ (* (* (/ a b) -3/2) (/ c b)) 2))

simplify182.0ms (2.2%)

Memory
23.8MiB live, 158.7MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08825319
131995274
086375017
Stop Event
iter limit
node limit
Counts
197 → 196
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)))))))
(* -3/2 (/ c b))
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))
(+ (* -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)))))))
(* -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))))))))
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))))))))
(* -2/3 (/ b a))
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a)
(* -2 b)
(+ (* -2 b) (* 3/2 (/ (* a c) b)))
(* -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))))))))
(pow b 2)
(+ (* -3 (* a c)) (pow b 2))
(* 2/3 (/ b (* a c)))
(/ (+ (* -1/2 (/ a b)) (* 2/3 (/ b c))) a)
(/ b (* a c))
2
(+ 2 (* -3/2 (/ (* a c) (pow b 2))))
(* 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))))))
(* (sqrt (/ c a)) (sqrt -3))
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))
(+ (* -1 (/ b 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)))))
(* (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)))
(* 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))))))
(* 1/2 (/ c b))
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b)))
(* 3/2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c 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)))))))
(* -3 (* a c))
(* a (+ (* -3 c) (/ (pow b 2) a)))
(/ -1/2 b)
(- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))
(* a (- (/ (pow b 2) a) (* 3 c)))
(* -3/2 (/ (* a c) (pow b 2)))
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* -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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -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)))
(* -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))))))
(* -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))))))))
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a)))))
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))))
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c))))
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(+ (* 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)))))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (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)))
(+ (* 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)))))))))
(/ c b)
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b)
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b)
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3))))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3)))
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3)))
(/ (- (* 2/3 (/ (pow b 2) (* a c))) 1/2) b)
(- (pow b 2) (* 3 (* a c)))
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/ (+ (* -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)
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -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)
(/ (+ (* -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)
(* 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)))))))
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))
(/ (+ (* -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)
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2)))))
(* b (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2)))))
(* -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)))))))
(* -2 (/ b a))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))
(* -1 (* 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)))))))
(* -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))))))))
(* -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)
(* -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 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))))
(* 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))))
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b))))
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 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))))))))
(+ 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))))))))
(* -1 c)
(* 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))))))))
(/ (+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) c)
(* 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)))))))
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))
(* c (+ (* -1 (/ b (* a 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))))))
(* 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)))
(* 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))))))
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b))))
(* 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)))))))
(* c (+ (* -3 a) (/ (pow b 2) c)))
(* c (- (/ (pow b 2) c) (* 3 a)))
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* -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 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* (sqrt (/ 1 (* 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 (* 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))))))))
(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(* -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 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
Outputs
(* -1/2 (/ c b))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))
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(* -1 (* c (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b)))
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c)))))
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))))
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c)))))
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c))))
(* -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)))))))
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)))
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) c)))

rewrite233.0ms (2.8%)

Memory
3.3MiB live, 194.5MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066420
095420
1308414
22246414
09102408
Stop Event
iter limit
node limit
iter limit
Counts
24 → 377
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b))
(/.f64 c b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
#s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))
(neg.f64 c)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a)
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b))
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))
#s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))))
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
(/.f64 (/.f64 b a) c)
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64))
Outputs
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) a (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) a (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) a))
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 a a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))) #s(literal 9 binary64))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a) (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 3 binary64)) a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -3 binary64) a)))
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (pow.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 a)) #s(literal -3 binary64))
(/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) (neg.f64 a))
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -3 binary64) a))
(/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64)) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) a) #s(literal 3 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 (/.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
(neg.f64 (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) a) #s(literal -3 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal -3 binary64)) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))
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(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 b b (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)))
(fma.f64 b b (*.f64 #s(literal -3 binary64) (*.f64 a c)))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal -3 binary64)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal -3 binary64) a)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) a)) c))
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
(fabs.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 a c)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)))
(+.f64 (*.f64 b b) (*.f64 #s(literal -3 binary64) (*.f64 a c)))
#s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)))
(/.f64 (/.f64 b c) a)
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 c))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 c)))
(/.f64 (/.f64 b a) c)
(/.f64 (neg.f64 b) (neg.f64 (*.f64 a c)))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) c))
(/.f64 b (*.f64 a c))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) c))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))))
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 1 binary64))
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 #s(literal -3/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal -3/2 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (/.f64 c b) #s(literal 2 binary64))
(fma.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 a b) (/.f64 c b)) #s(literal 2 binary64))
(fma.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) #s(literal 2 binary64))
(fma.f64 (/.f64 c b) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) (/.f64 c b)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 a b)) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (neg.f64 c) b) (*.f64 #s(literal -3/2 binary64) (/.f64 a b))))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 #s(literal -3/2 binary64) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)))

eval86.0ms (1%)

Memory
-10.1MiB live, 135.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 21 855 to 2 935 computations (86.6% saved)

prune60.0ms (0.7%)

Memory
-20.7MiB live, 78.6MiB allocated; 11ms collecting garbage
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New5689577
Fresh22527
Picked415
Done033
Total57438612
Accuracy
90.1%
Counts
612 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.9%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
33.1%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
51.1%
(/.f64 (/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 9 binary64)) a)
33.7%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64))
33.7%
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) #s(literal 3 binary64)) a)
33.7%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))))) #s(literal 3 binary64)) a)
27.6%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64))) c))) #s(literal 3 binary64)) a)
34.2%
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
22.6%
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
49.7%
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
52.1%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
33.7%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
34.4%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
34.2%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
29.4%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
34.2%
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
40.4%
(/.f64 #s(approx (- (* b b) (+ (* (* c a) -3) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
34.4%
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (/.f64 c b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))
27.1%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
26.4%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
26.5%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
34.2%
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
27.5%
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
51.0%
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
34.1%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
32.0%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
34.4%
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
31.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
34.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
34.2%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
34.5%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
24.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
32.8%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
24.7%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
28.9%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
28.6%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
12.1%
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Compiler

Compiled 3 041 to 1 191 computations (60.8% saved)

regimes94.0ms (1.1%)

Memory
-2.6MiB live, 91.2MiB allocated; 3ms collecting garbage
Counts
61 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (/.f64 c b) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64))) c))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b))))) #s(literal 9 binary64)) a)
(/.f64 #s(approx (- (* b b) (+ (* (* c a) -3) (* b b))) (*.f64 (*.f64 a c) #s(literal 3 binary64))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a)
(+.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 c #s(literal -3 binary64) (*.f64 (/.f64 b a) b)) a))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) (*.f64 (neg.f64 b) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 c b) (/.f64 a b)) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) (/.f64 a b)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))))) #s(literal 3 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

5 calls:

20.0ms
a
15.0ms
c
15.0ms
(*.f64 #s(literal 3 binary64) a)
15.0ms
b
13.0ms
(/.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
52.1%1(*.f64 #s(literal 3 binary64) a)
73.7%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))
52.1%1a
84.4%3b
55.9%3c
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes13.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -3) (* b b)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64))
(/.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 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) a) #s(literal -3 binary64))
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
84.4%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Counts
33 → 3
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (fma.f64 (/.f64 (/.f64 b c) a) #s(literal -2/3 binary64) (/.f64 #s(literal 1/2 binary64) b)) c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2/3 binary64) c) (/.f64 b a) (/.f64 #s(literal -1/2 binary64) b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
81.3%3b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes16.0ms (0.2%)

Memory
-23.2MiB live, 23.4MiB allocated; 1ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (neg.f64 c) #s(approx (+ (* (/ 2/3 c) (/ b a)) (/ -1/2 b)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal -2/3 binary64) b)) a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) 3) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64)))))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

2 calls:

8.0ms
b
6.0ms
(/.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
49.6%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))
66.5%2b
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -2 binary64) (/.f64 b a))) #s(literal 3 binary64))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64))
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) #s(approx (* (neg b) (+ (* (* (/ a b) -3/2) (/ c b)) 2)) (*.f64 #s(literal -2 binary64) b))) #s(literal 3 binary64)) a)
(/.f64 (/.f64 (+.f64 #s(approx (sqrt (+ (* (* c a) -3) (* b b))) (neg.f64 b)) (neg.f64 b)) #s(literal 3 binary64)) a)
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a)
Outputs
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
66.1%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 c))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))
Calls

1 calls:

3.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a))
#s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))
Calls

1 calls:

2.0ms
b
Results
AccuracySegmentsBranch
66.0%2b
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.2%)

Memory
-36.8MiB live, 13.7MiB allocated; 3ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Calls

5 calls:

14.0ms
(/.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))
1.0ms
b
1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
c
1.0ms
a
Results
AccuracySegmentsBranch
34.2%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))
34.2%1(*.f64 #s(literal 3 binary64) a)
34.2%1a
34.2%1c
43.3%2b
Compiler

Compiled 23 to 26 computations (-13% saved)

regimes5.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(*.f64 #s(literal 3 binary64) a)
1.0ms
b
1.0ms
a
1.0ms
c
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
12.1%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))
12.1%1c
12.1%1(*.f64 #s(literal 3 binary64) a)
12.1%1a
12.1%1b
Compiler

Compiled 23 to 26 computations (-13% saved)

bsearch22.0ms (0.3%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
15.0ms
1.9148735913039682e-90
3.961886665148917e-90
4.0ms
-2.4764158984406076e+154
-7.081855300505997e+153
Samples
6.0ms78×0valid
3.0ms15×2valid
3.0ms19×1valid
2.0ms26×0invalid
Compiler

Compiled 309 to 259 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32.1% of total)
adjust: 1.0ms (10.7% of total)
ival-div: 1.0ms (10.7% of total)
ival-sub: 1.0ms (10.7% of total)
ival-sqrt: 1.0ms (10.7% of total)
ival-add: 1.0ms (10.7% of total)
ival-neg: 1.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.9148735913039682e-90
3.961886665148917e-90
6.0ms
-2.4764158984406076e+154
-7.081855300505997e+153
Samples
4.0ms48×0valid
0.0ms0invalid
Compiler

Compiled 510 to 398 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (43.2% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 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)

bsearch26.0ms (0.3%)

Memory
-15.4MiB live, 31.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.9148735913039682e-90
3.961886665148917e-90
22.0ms
-1.071547234779501e-105
-2.9880654885495663e-111
Samples
11.0ms144×0valid
3.0ms38×0invalid
Compiler

Compiled 844 to 640 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (34.5% of total)
ival-div: 1.0ms (11.5% of total)
ival-add: 1.0ms (11.5% of total)
ival-sub: 1.0ms (11.5% of total)
ival-sqrt: 1.0ms (11.5% of total)
ival-neg: 1.0ms (11.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory
-6.0MiB live, 40.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
-3.4256166523523156e-298
2.7636563510355185e-304
Samples
13.0ms160×0valid
5.0ms68×0invalid
Compiler

Compiled 680 to 498 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.9% 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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
-3.4256166523523156e-298
2.7636563510355185e-304
Samples
6.0ms80×0valid
2.0ms22×0invalid
Compiler

Compiled 460 to 388 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (41.6% of total)
ival-div: 1.0ms (20.8% of total)
ival-sub: 1.0ms (20.8% of total)
ival-sqrt: 1.0ms (20.8% of total)
ival-neg: 1.0ms (20.8% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% 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
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.4256166523523156e-298
2.7636563510355185e-304
Compiler

Compiled 480 to 378 computations (21.3% saved)

bsearch2.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-3.4256166523523156e-298
2.7636563510355185e-304
Compiler

Compiled 480 to 358 computations (25.4% saved)

bsearch36.0ms (0.4%)

Memory
-3.1MiB live, 43.7MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
33.0ms
5.952013287006644e+31
1.6459497232525267e+40
Samples
13.0ms53×2valid
5.0ms30×1valid
4.0ms50×0valid
3.0ms11×3valid
1.0ms16×0invalid
Compiler

Compiled 569 to 405 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
adjust: 4.0ms (20% of total)
ival-mult: 4.0ms (20% of total)
ival-add: 4.0ms (20% of total)
ival-div: 2.0ms (10% of total)
ival-sub: 2.0ms (10% of total)
ival-sqrt: 2.0ms (10% of total)
ival-neg: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify61.0ms (0.7%)

Memory
-0.9MiB live, 48.2MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
096586
1145586
2266586
3539586
41174586
52304576
63257576
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -1355681185995627/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))
Outputs
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -11000000000000000555279573304380783135291613668290285932740807076128336770931134349133090626299843857395090115234734160889935128647843985376037225233383424 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -1355681185995627/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 7797895294366243/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (/ (+ (sqrt (+ (* (* c a) -3) (* b b))) (neg b)) 3) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b)))
(if (<=.f64 b #s(literal 3036033799609659/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))
(if (<=.f64 b #s(literal 65000000000000004388725358329856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (/ (/ c b) b) -1/2) (/ 2/3 a)) (neg b)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))

derivations1.7s (21.1%)

Memory
-208.0MiB live, 500.0MiB allocated; 1.7s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
02051
16551
248350
3583349
0885345
05603023
119423000
080642850
06053242
120893219
084753056
044293
072293
1236284
21817284
08245284
066420
095420
1308414
22246414
09102408
010736101
138306036
082095768
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 586 to 99 computations (83.1% saved)

preprocess104.0ms (1.3%)

Memory
32.1MiB live, 77.8MiB allocated; 8ms collecting garbage
Compiler

Compiled 1 206 to 222 computations (81.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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