jeff quadratic root 1

Time bar (total: 17.5s)

analyze165.0ms (0.9%)

Memory
-19.7MiB live, 353.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
34.4%34.3%65.5%0.1%0%0%0%6
40%37.4%56.2%0.1%0%6.2%0%7
47.5%44.5%49.1%0.1%0%6.2%0%8
54.7%49.9%41.3%0.1%0%8.6%0%9
61%52.9%33.7%0.1%0%13.3%0%10
67.4%57.8%28%0.1%0%14%0%11
72.5%60.5%23%0.1%0%16.4%0%12
Compiler

Compiled 40 to 22 computations (45% saved)

sample2.0s (11.2%)

Memory
48.1MiB live, 2 697.5MiB allocated
Samples
1.1s8 256×0valid
114.0ms945×0invalid
Precisions
Click to see histograms. Total time spent on operations: 904.0ms
ival-mult: 420.0ms (46.5% of total)
ival-div: 121.0ms (13.4% of total)
ival-sqrt: 91.0ms (10.1% of total)
ival-sub: 84.0ms (9.3% of total)
ival-add: 53.0ms (5.9% of total)
ival-if: 43.0ms (4.8% of total)
ival-neg: 41.0ms (4.5% of total)
ival->=: 30.0ms (3.3% of total)
exact: 12.0ms (1.3% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess390.0ms (2.2%)

Memory
-21.2MiB live, 194.0MiB allocated
Algorithm
egg-herbie
Rules
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
1 206×distribute-lft-in
1 046×associate-/r*
992×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085393
1242373
2708373
31866365
44611365
56332365
67016365
77247365
87300365
97322365
107631365
117842365
127870365
137870365
147870365
02038
14437
211537
326636
446036
583636
6168436
7225036
8262636
9288136
10290636
11291536
12296236
13311836
14315436
15320036
16320436
17320436
0320434
Stop Event
iter limit
saturated
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
Outputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
Call 2
Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))))
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))))
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a))))))
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b))))))
Outputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))))
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* 4 (* a c)))) b)))
(if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))))
(if (>= (neg b) 0) (* (- (sqrt (+ (* b b) (* a (* c -4)))) b) (/ -1/2 a)) (/ (* c 2) (+ b (sqrt (+ (* b b) (* a (* c -4)))))))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))))
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a)) (/ (* c 2) (- b (sqrt (+ (* b b) (* 4 (* a c)))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))))))
(neg (if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ 1/2 a)) (/ (* c 2) (- (sqrt (+ (* b b) (* 4 (* a c)))) b))))
(neg (if (>= (neg b) 0) (/ (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))))))
(neg (if (>= (neg b) 0) (* (- (sqrt (+ (* b b) (* a (* c -4)))) b) (/ -1/2 a)) (/ (* c 2) (+ b (sqrt (+ (* b b) (* a (* c -4))))))))
(neg (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)) (/ (* 2 (neg c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))))))
(neg (if (>= b 0) (* (+ b (sqrt (+ (* b b) (* 4 (* a c))))) (/ -1/2 a)) (/ (* c 2) (- b (sqrt (+ (* b b) (* 4 (* a c))))))))
(if (>= a 0) (/ (- (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)) (/ (* 2 c) (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c))))))
(if (>= a 0) (* (+ a (sqrt (+ (* a a) (* b (* c -4))))) (/ -1/2 b)) (/ (* c 2) (- (sqrt (+ (* a a) (* b (* c -4)))) a)))
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)) (/ (* 2 a) (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a))))))
(if (>= b 0) (* (+ b (sqrt (+ (* b b) (* a (* c -4))))) (/ -1/2 c)) (/ (* a 2) (- (sqrt (+ (* b b) (* a (* c -4)))) b)))
(if (>= c 0) (/ (- (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)) (/ (* 2 b) (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b))))))
(if (>= c 0) (* (+ c (sqrt (+ (* c c) (* b (* a -4))))) (/ -1/2 a)) (/ (* b 2) (- (sqrt (+ (* c c) (* b (* a -4)))) c)))

explain406.0ms (2.3%)

Memory
-11.0MiB live, 664.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
660-0-(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
580-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
170-1(-1.40224217054421e-78 -1.932127983128804e+297 -4.6923257003519826e+60)(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
130-2(-4.0679718186883704e+109 6.079653806286646e+246 1.6581438136933157e-180)(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
40-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
00-0-a
00-0-(*.f64 #s(literal 2 binary64) c)
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 2 binary64) a)
00-0-c
00-0-(*.f64 #s(literal 4 binary64) a)
00-0-(neg.f64 b)
00-0-(>=.f64 b #s(literal 0 binary64))
00-0-#s(literal 4 binary64)
00-0-(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
00-0-#s(literal 0 binary64)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) a) c)
00-0-#s(literal 2 binary64)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))oflow-rescue950
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow95
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow21
(*.f64 b b)overflow80
-.f64(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation660
+.f64(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))cancellation580
/.f64(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))u/n160
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow25
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow4
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow38
(*.f64 b b)underflow45
/.f64(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))n/u100
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow4
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))underflow27
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow38
(*.f64 b b)underflow45
sqrt.f64(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))uflow-rescue40
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))underflow4
(*.f64 (*.f64 #s(literal 4 binary64) a) c)underflow38
(*.f64 b b)underflow45
-.f64(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))nan-rescue40
(*.f64 b b)overflow80
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow21
/.f64(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))n/o10
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))overflow95
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))overflow1
(*.f64 (*.f64 #s(literal 4 binary64) a) c)overflow21
(*.f64 b b)overflow80
Confusion
Predicted +Predicted -
+720
-11074
Precision
0.3956043956043956
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7200
-110074
Precision?
0.3956043956043956
Recall?
1.0
Freqs
test
numberfreq
074
1115
262
35
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms172×2valid
36.0ms148×1valid
24.0ms164×0valid
12.0ms28×3valid
Compiler

Compiled 376 to 84 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 27.0ms (29.8% of total)
ival-div: 15.0ms (16.6% of total)
ival-sub: 11.0ms (12.1% of total)
adjust: 11.0ms (12.1% of total)
ival-sqrt: 9.0ms (9.9% of total)
ival-neg: 5.0ms (5.5% of total)
ival-if: 5.0ms (5.5% of total)
ival-add: 5.0ms (5.5% of total)
ival->=: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 41 to 20 computations (51.2% saved)

simplify165.0ms (0.9%)

Memory
28.2MiB live, 104.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
Rules
1 344×accelerator-lowering-fma.f32
1 344×accelerator-lowering-fma.f64
936×*-lowering-*.f32
936×*-lowering-*.f64
470×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020145
144142
2115142
3266140
4460140
5836140
61684140
72250140
82626140
92881140
102906140
112915140
122962140
133118140
143154140
153200140
163204140
173204140
03204132
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
c
(* 2 a)
2
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
Outputs
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -2 binary64)) a)
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 (*.f64 #s(literal 4 binary64) a) c)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
4
#s(literal 4 binary64)
a
c
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)

localize103.0ms (0.6%)

Memory
-24.1MiB live, 206.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy94.1%
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
accuracy79.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy76.3%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy63.9%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
29.0ms86×2valid
21.0ms74×1valid
11.0ms82×0valid
6.0ms14×3valid
Compiler

Compiled 147 to 22 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 11.0ms (24% of total)
ival-div: 7.0ms (15.3% of total)
adjust: 6.0ms (13.1% of total)
ival-if: 6.0ms (13.1% of total)
ival-sub: 5.0ms (10.9% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-neg: 3.0ms (6.5% of total)
ival-add: 3.0ms (6.5% of total)
ival->=: 1.0ms (2.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
17.7MiB live, 55.0MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (>= b 0)>
#<alt (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
Outputs
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
#<alt (* b (- (* 2 (/ (* a c) (pow b 2))) 2))>
#<alt (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms
a
@inf
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
b
@0
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
b
@inf
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms
b
@inf
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite395.0ms (2.3%)

Memory
-18.6MiB live, 829.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 702×accelerator-lowering-fma.f32
5 702×accelerator-lowering-fma.f64
4 948×*-lowering-*.f32
4 948×*-lowering-*.f64
3 438×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
17855
265453
0961449
Stop Event
iter limit
node limit
Counts
5 → 634
Calls
Call 1
Inputs
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(>= b 0)
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(sqrt (- (* b b) (* (* 4 a) c)))
Outputs
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 b (*.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 #s(literal -64 binary64) (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a c) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))

simplify754.0ms (4.3%)

Memory
12.9MiB live, 769.9MiB allocated
Algorithm
egg-herbie
Rules
12 470×accelerator-lowering-fma.f32
12 470×accelerator-lowering-fma.f64
7 850×*-lowering-*.f32
7 850×*-lowering-*.f64
3 744×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06253723
120063687
266133641
083453472
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
Outputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 b (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 (*.f64 c (*.f64 c a)) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
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(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (/.f64 a b)) b) (/.f64 (*.f64 c (*.f64 c (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b b))))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 6 binary64))))))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+.f64 b (*.f64 a (*.f64 #s(literal -2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 (/.f64 c (*.f64 b b)) b)))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(+.f64 b (*.f64 a (+.f64 (*.f64 (*.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (*.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a (/.f64 (/.f64 c (*.f64 b b)) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(*.f64 a (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(*.f64 a (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(*.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))) (*.f64 c c))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (-.f64 #s(literal 0 binary64) a))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (*.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+.f64 b (*.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (*.f64 c (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 (*.f64 c (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(*.f64 c (+.f64 (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(*.f64 c (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 b b) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 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))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (*.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a))))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(*.f64 (+.f64 (+.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 c c))) a)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))) (-.f64 #s(literal 0 binary64) c))

eval431.0ms (2.5%)

Memory
22.3MiB live, 282.4MiB allocated
Compiler

Compiled 54 989 to 3 381 computations (93.9% saved)

prune205.0ms (1.2%)

Memory
-24.4MiB live, 392.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New85611867
Fresh000
Picked101
Done000
Total85711868
Accuracy
93.3%
Counts
868 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
45.9%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
61.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)))))
68.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
73.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
68.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b))))
75.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
58.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
73.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
75.0%
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
73.4%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 996 to 574 computations (42.4% saved)

simplify577.0ms (3.3%)

Memory
-25.2MiB live, 760.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)))
cost-diff128
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff128
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff128
(-.f64 (neg.f64 b) b)
cost-diff128
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
Rules
16 164×accelerator-lowering-fma.f32
16 164×accelerator-lowering-fma.f64
3 464×*-lowering-*.f32
3 464×*-lowering-*.f64
1 856×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053894
1121863
2300857
3647856
41350856
53855856
08139808
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(neg b)
(* 2 a)
2
a
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(/ -1/2 a)
-1/2
a
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ (* b b) (* (* a c) -4))
(* b b)
(* (* a c) -4)
(* a c)
c
-4
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* (* 4 a) c)
(* 4 a)
4
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))))
1/2
(/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))
a
(- b (sqrt (+ (* b b) (* (* a c) -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ (* b b) (* (* a c) -4))
(* b b)
(* (* a c) -4)
(* a c)
c
-4
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* (* 4 a) c)
(* 4 a)
4
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
1/2
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
-1
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ (* b b) (* (* a c) -4))
(* b b)
(* (* a c) -4)
(* a c)
a
c
-4
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* (* 4 a) c)
(* 4 a)
4
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))))
(>= b 0)
b
0
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
c
(* 2 a)
2
(/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)))
(* 2 c)
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)
(+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c)))
(* b (* b (* b b)))
(* b (* b b))
(* (* 16 (* a c)) (* a c))
(* 16 (* a c))
16
(* a c)
1/4
Outputs
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (neg b) b)
(*.f64 b #s(literal -2 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
2
#s(literal 2 binary64)
a
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* (* a c) -4)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* (* a c) -4))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* a c) -4)
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
c
-4
#s(literal -4 binary64)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) #s(literal -1/2 binary64)) a)
1/2
#s(literal 1/2 binary64)
(/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))
(/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
a
(- b (sqrt (+ (* b b) (* (* a c) -4))))
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* (* a c) -4)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* (* a c) -4))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* a c) -4)
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
c
-4
#s(literal -4 binary64)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
1/2
#s(literal 1/2 binary64)
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(-.f64 #s(literal 0 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
-1
#s(literal -1 binary64)
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* (* a c) -4)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(+ (* b b) (* (* a c) -4))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* a c) -4)
(*.f64 c (*.f64 a #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
a
c
-4
#s(literal -4 binary64)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
a
c
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
2
#s(literal 2 binary64)
(/ (* 2 c) (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))
(-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b)
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)
(pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64))
(+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c)))
(+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))
(* b (* b (* b b)))
(*.f64 b (*.f64 b (*.f64 b b)))
(* b (* b b))
(*.f64 b (*.f64 b b))
(* (* 16 (* a c)) (* a c))
(*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))
(* 16 (* a c))
(*.f64 (*.f64 a c) #s(literal 16 binary64))
16
#s(literal 16 binary64)
(* a c)
(*.f64 a c)
1/4
#s(literal 1/4 binary64)

localize624.0ms (3.6%)

Memory
-1.7MiB live, 1 028.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy92.2%
(+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)))
accuracy76.3%
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy66.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy42.5%
(pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64))
accuracy79.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy76.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy66.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy66.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy79.1%
(-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy79.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy66.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy66.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy79.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy76.3%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy66.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy66.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy98.7%
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy95.9%
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
accuracy79.1%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy66.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
166.0ms44×3valid
86.0ms63×2valid
47.0ms56×1valid
46.0ms82×0valid
22.0ms4exit
13.0ms4valid
Compiler

Compiled 915 to 55 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 274.0ms
ival-mult: 108.0ms (39.4% of total)
ival-pow: 60.0ms (21.9% of total)
ival-div: 29.0ms (10.6% of total)
adjust: 20.0ms (7.3% of total)
ival-if: 15.0ms (5.5% of total)
ival-add: 14.0ms (5.1% of total)
ival-sub: 11.0ms (4% of total)
ival-sqrt: 10.0ms (3.6% of total)
ival-neg: 4.0ms (1.5% of total)
exact: 1.0ms (0.4% of total)
ival->=: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series88.0ms (0.5%)

Memory
35.3MiB live, 233.9MiB allocated
Counts
20 → 660
Calls
Call 1
Inputs
#<alt (/ (- (neg b) b) (* 2 a))>
#<alt (- (neg b) b)>
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (>= b 0)>
#<alt (if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))>
#<alt (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))>
#<alt (if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))>
#<alt (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))))>
#<alt (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))>
#<alt (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)>
#<alt (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))>
#<alt (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))>
#<alt (- (* b b) (* (* 4 a) c))>
#<alt (sqrt (+ (* b b) (* (* a c) -4)))>
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))>
#<alt (- b (sqrt (+ (* b b) (* (* a c) -4))))>
#<alt (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)>
Outputs
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
#<alt (if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))>
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#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
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#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* (pow 16 1/4) (sqrt (* a c)))>
#<alt (+ (* -1 b) (* (pow 16 1/4) (sqrt (* a c))))>
#<alt (+ (* b (- (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3)))) 1)) (* (pow 16 1/4) (sqrt (* a c))))>
#<alt (+ (* b (- (* (pow b 3) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))) 1)) (* (pow 16 1/4) (sqrt (* a c))))>
#<alt (* -1 b)>
#<alt 0>
#<alt (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))>
#<alt (* b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 8))))))>
#<alt (* -1 b)>
#<alt (* -2 b)>
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#<alt (* -1 (* b (+ 1 (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 7)))))) b)))))>
#<alt (- (* (pow 1 1/4) b) b)>
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#<alt (- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))))))) b)>
#<alt (- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12))))))))))))) b)>
#<alt (- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b)>
#<alt (- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) b)>
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#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b)>
#<alt (- (* (pow 1 1/4) b) b)>
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#<alt (- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))) b)>
#<alt (- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))) b)>
#<alt (- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) b)>
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#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b)>
#<alt (- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b)>
#<alt (- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b)>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 b)>
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#<alt (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))>
#<alt (* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))>
#<alt (* -2 b)>
#<alt (- (* 2 (/ (* a c) b)) (* 2 b))>
#<alt (- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))>
#<alt (- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
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#<alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 b)>
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#<alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))>
#<alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
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#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))>
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#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
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#<alt (* -1 (/ b a))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -4 (* a c))>
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#<alt (pow b 2)>
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#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
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#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
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#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
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#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
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#<alt (* 2 b)>
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#<alt (* 2 (/ (* a c) b))>
#<alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (pow 16 1/4) (sqrt (* a c)))>
#<alt (+ (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 4)))) (* (pow 16 1/4) (sqrt (* a c))))>
#<alt (+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))))>
#<alt (+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/524288 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b 4)))))))))>
#<alt b>
#<alt (+ b (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))>
#<alt (+ b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))))))>
#<alt (+ b (+ (* -128 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 32/3 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (* 1024/3 (/ (* (pow a 6) (pow c 6)) (pow b 11)))))))))>
#<alt (* -1 b)>
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b))>
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7)))))>
#<alt (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (+ (* -1 (/ (+ (* -128 (* (pow a 6) (pow c 6))) (+ (* 32/3 (* (pow a 6) (pow c 6))) (* 1024/3 (* (pow a 6) (pow c 6))))) (pow b 11))) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7))))))>
#<alt (* (pow 1 1/4) b)>
#<alt (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))>
#<alt (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8))))))))))>
#<alt (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12)))))))))))))>
#<alt (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))>
#<alt (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))>
#<alt (* (pow 1 1/4) b)>
#<alt (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))>
#<alt (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))>
#<alt (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))))>
#<alt (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))>
#<alt (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))>
#<alt (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))>
Calls

165 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))
4.0ms
b
@0
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)
3.0ms
b
@0
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))
3.0ms
c
@inf
(- (* b b) (* (* 4 a) c))
3.0ms
c
@inf
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))

rewrite466.0ms (2.7%)

Memory
13.3MiB live, 895.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 530×/-lowering-/.f32
4 530×/-lowering-/.f64
4 452×*-lowering-*.f32
4 452×*-lowering-*.f64
3 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049302
1263286
22378284
08386265
Stop Event
iter limit
node limit
Counts
20 → 1 897
Calls
Call 1
Inputs
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(>= b 0)
(if (>= b 0) (* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(* (/ -1/2 a) (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(if (>= b 0) (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4)))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(/ 1/2 (/ a (- b (sqrt (+ (* b b) (* (* a c) -4))))))
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(sqrt (- (* b b) (* (* 4 a) c)))
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(- (* b b) (* (* 4 a) c))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(- b (sqrt (+ (* b b) (* (* a c) -4))))
(pow (+ (* b (* b (* b b))) (* (* 16 (* a c)) (* a c))) 1/4)
Outputs
(+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 1 binary64) (/.f64 b a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 b b) (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 b b) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))))) (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))))))
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) b))) (/.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 0 binary64) b))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))) (+.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (+.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))) (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))) (+.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (+.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (*.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))))
(-.f64 (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))) (/.f64 (*.f64 (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))) (+.f64 (/.f64 b (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (*.f64 #s(literal 2 binary64) a)))))
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal -1/2 binary64))))
(-.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64)) (/.f64 a #s(literal -1/2 binary64))) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (*.f64 #s(literal 2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 b #s(literal -1 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 b #s(literal 2 binary64)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (*.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b (-.f64 #s(literal 0 binary64) a)) #s(literal 1/2 binary64) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(fma.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 b a)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 a #s(literal -1/2 binary64)))
(/.f64 (*.f64 b #s(literal -2 binary64)) (neg.f64 (/.f64 a #s(literal -1/2 binary64))))
(/.f64 (*.f64 b #s(literal -2 binary64)) (neg.f64 (neg.f64 (/.f64 a #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
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(pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/8 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 a (*.f64 c (*.f64 a c)))) #s(literal 4096 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (-.f64 (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))) (*.f64 b (*.f64 b (*.f64 b b))))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 a (*.f64 c (*.f64 a c)))))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64))))) #s(literal 1/4 binary64)))

simplify592.0ms (3.4%)

Memory
9.2MiB live, 1 033.4MiB allocated
Algorithm
egg-herbie
Rules
7 114×*-lowering-*.f32
7 114×*-lowering-*.f64
6 320×accelerator-lowering-fma.f32
6 320×accelerator-lowering-fma.f64
3 524×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165817878
1554017266
0809916479
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(if (>= b 0) (* 1/2 (/ (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(* -1/2 (/ a b))
(/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -1 (* b (+ (* -1 (/ (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ 1 c)) (/ (* (pow a 3) (pow c 2)) (pow b 6))))))))))
(* -1/2 (/ a b))
(* a (- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -1/2 (/ a b))
(+ (* -1/2 (/ a b)) (* -1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -1/2 (/ a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* -1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (pow a 3) (pow b 5))) (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* 1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (pow 16 1/4) (sqrt (* a c)))
(+ (* -1 b) (* (pow 16 1/4) (sqrt (* a c))))
(+ (* b (- (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 3)))) 1)) (* (pow 16 1/4) (sqrt (* a c))))
(+ (* b (- (* (pow b 3) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))) 1)) (* (pow 16 1/4) (sqrt (* a c))))
(* -1 b)
0
(* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3)))
(* b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 8))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 8))))))
(* -1 b)
(* -2 b)
(* -1 (* b (+ 1 (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b)) b)))))
(* -1 (* b (+ 1 (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* 32 (/ (* (pow a 4) (pow c 4)) (pow b 7)))))) b)))))
(- (* (pow 1 1/4) b) b)
(- (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) b)
(- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))))))) b)
(- (+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12))))))))))))) b)
(- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b)
(- (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6))))) b)
(- (* (pow 1 1/4) b) b)
(- (+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b)) b)
(- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))) b)
(- (+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))) b)
(- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b)
(- (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)))) b)
(- (+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6))))) b)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (pow 16 1/4) (sqrt (* a c)))
(+ (* 1/64 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b 4)))) (* (pow 16 1/4) (sqrt (* a c))))
(+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b 4)))) (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))))
(+ (* (pow 16 1/4) (sqrt (* a c))) (* (pow b 4) (+ (* 1/64 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b 4) (+ (* -3/8192 (* (pow 16 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/524288 (* (pow 16 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b 4)))))))))
b
(+ b (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))))
(+ b (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))))))
(+ b (+ (* -128 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (+ (* -32 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* 8 (/ (* (pow a 4) (pow c 4)) (pow b 7))) (+ (* 32/3 (/ (* (pow a 6) (pow c 6)) (pow b 11))) (* 1024/3 (/ (* (pow a 6) (pow c 6)) (pow b 11)))))))))
(* -1 b)
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (* -1 b))
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7)))))
(+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 3))) (+ (* -1 b) (+ (* -1 (/ (+ (* -128 (* (pow a 6) (pow c 6))) (+ (* 32/3 (* (pow a 6) (pow c 6))) (* 1024/3 (* (pow a 6) (pow c 6))))) (pow b 11))) (* -1 (/ (+ (* -32 (* (pow a 4) (pow c 4))) (* 8 (* (pow a 4) (pow c 4)))) (pow b 7))))))
(* (pow 1 1/4) b)
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))
(+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8))))))))))
(+ (* (pow 1 1/4) b) (* (pow a 2) (+ (* 4 (* (pow 1 1/4) (/ (pow c 2) (pow b 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b (+ (* -32 (/ (pow c 4) (pow b 8))) (* 8 (/ (pow c 4) (pow b 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b (+ (* -128 (/ (pow c 6) (pow b 12))) (+ (* 32/3 (/ (pow c 6) (pow b 12))) (* 1024/3 (/ (pow c 6) (pow b 12)))))))))))))
(exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ 1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))
(exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))
(* (pow 1 1/4) b)
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))))
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))))) #s(literal -1 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b b)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 a c) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) b) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(-.f64 #s(literal 0 binary64) (*.f64 a (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) b) a))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 c (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c))))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
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b
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b
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* (sqrt (* a c)) (sqrt -4))
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(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 a #s(literal 4 binary64))))))
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(exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))))) (*.f64 (*.f64 a c) (*.f64 a c))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4))))
(+.f64 (+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))))) (*.f64 (*.f64 a c) (*.f64 a c)))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(+ (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 8) (pow c 4))) (* 1/8192 (/ (pow b 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow c 2))) (* -2 (log (/ -1 a)))))) (+ (* -1/131072 (/ (pow b 12) (pow c 6))) (+ (* 1/1572864 (/ (pow b 12) (pow c 6))) (* 1/49152 (/ (pow b 12) (pow c 6)))))) (pow a 6)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 a #s(literal 6 binary64)))))))
(* (pow 1 1/4) b)
b
(+ (* 4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b 3)))) (* (pow 1 1/4) b))
(+.f64 b (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (*.f64 b (*.f64 b b)))))
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8))))))))))
(+.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 b (*.f64 c c)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal -24 binary64))))))
(+ (* (pow 1 1/4) b) (* (pow c 2) (+ (* 4 (* (pow 1 1/4) (/ (pow a 2) (pow b 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b (* (pow c 2) (+ (* -128 (/ (pow a 6) (pow b 12))) (+ (* 32/3 (/ (pow a 6) (pow b 12))) (* 1024/3 (/ (pow a 6) (pow b 12)))))))) (* (pow 1 1/4) (* b (+ (* -32 (/ (pow a 4) (pow b 8))) (* 8 (/ (pow a 4) (pow b 8)))))))))))
(+.f64 b (*.f64 (*.f64 c c) (+.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c c) (*.f64 b (+.f64 (*.f64 (*.f64 c c) (*.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) #s(literal 224 binary64))) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 8 binary64))) #s(literal -24 binary64))))))))
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ 1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 c #s(literal 6 binary64)))))))
(exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))))))
(+ (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* 1/64 (/ (* (pow b 4) (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 8) (pow a 4))) (* 1/8192 (/ (pow b 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (* 16 (pow a 2))) (* -2 (log (/ -1 c)))))) (+ (* -1/131072 (/ (pow b 12) (pow a 6))) (+ (* 1/1572864 (/ (pow b 12) (pow a 6))) (* 1/49152 (/ (pow b 12) (pow a 6)))))) (pow c 6)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 b #s(literal 4 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))))) (*.f64 (*.f64 a c) (*.f64 a c))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/8192 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/524288 binary64)) (pow.f64 c #s(literal 6 binary64)))))))

eval1.2s (6.8%)

Memory
-50.8MiB live, 1 452.5MiB allocated
Compiler

Compiled 227 750 to 9 243 computations (95.9% saved)

prune815.0ms (4.7%)

Memory
17.9MiB live, 1 294.9MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New4 093194 112
Fresh426
Picked505
Done000
Total4 102214 123
Accuracy
95.7%
Counts
4 123 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
66.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
61.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b)))
40.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b)))
43.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) b)))
43.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) b)))
41.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b)))
68.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
63.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
35.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
56.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
69.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
70.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
35.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
48.9%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
73.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
42.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))))
73.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
53.6%
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 1 588 to 982 computations (38.2% saved)

simplify567.0ms (3.2%)

Memory
48.4MiB live, 840.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c)))
cost-diff128
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))
cost-diff128
(-.f64 (neg.f64 b) b)
cost-diff128
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(-.f64 (neg.f64 b) b)
cost-diff128
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
cost-diff321
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
cost-diff6656
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
Rules
18 214×accelerator-lowering-fma.f32
18 214×accelerator-lowering-fma.f64
3 778×*-lowering-*.f32
3 778×*-lowering-*.f64
1 986×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060656
1124581
2269552
3639552
41542552
54543552
08300529
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2)))
-1/2
(* (/ 1 a) b)
(/ 1 a)
1
a
(/ b (/ a -1/2))
(/ a -1/2)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a)))
(>= b 0)
b
0
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(neg b)
(* 2 a)
2
a
(- 0 (/ b a))
(/ b a)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4)))))
(>= b 0)
b
0
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(neg b)
(* 2 a)
2
a
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))
(* 2 c)
c
(+ (neg b) (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
-4
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))))
(>= b 0)
b
0
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
1/2
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
-1
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ (* b b) (* (* a c) -4))
(* b b)
(* (* a c) -4)
(* a c)
a
c
-4
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))
1
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(+ (* b b) (* a (* c -4)))
(* a (* c -4))
(* c -4)
(* 2 c)
2
(if (>= b 0) (exp (* (log (* (/ a b) -1)) -1)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(exp (* (log (* (/ a b) -1)) -1))
(* (log (* (/ a b) -1)) -1)
(log (* (/ a b) -1))
(* (/ a b) -1)
(/ a b)
a
-1
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
Outputs
(if (>= b 0) (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
-1/2
#s(literal -1/2 binary64)
(* (/ 1 a) b)
(/.f64 b a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ b (/ a -1/2))
(/.f64 (/.f64 b a) #s(literal -2 binary64))
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a)))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (neg b) b)
(*.f64 b #s(literal -2 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
a
(- 0 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4)))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (neg b) b)
(*.f64 b #s(literal -2 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
a
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
c
(+ (neg b) (sqrt (* (* a c) -4)))
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)
(sqrt (* (* a c) -4))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* (* a c) -4)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
-4
#s(literal -4 binary64)
(if (>= b 0) (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)) (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 a #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(/.f64 a (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
-1
#s(literal -1 binary64)
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* (* a c) -4)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* (* a c) -4))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* a c) -4)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
a
c
-4
#s(literal -4 binary64)
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
1
#s(literal 1 binary64)
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c))
(/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* a (* c -4)))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
(if (>= b 0) (exp (* (log (* (/ a b) -1)) -1)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(exp (* (log (* (/ a b) -1)) -1))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* (log (* (/ a b) -1)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b))))
(log (* (/ a b) -1))
(log.f64 (/.f64 a (-.f64 #s(literal 0 binary64) b)))
(* (/ a b) -1)
(/.f64 a (-.f64 #s(literal 0 binary64) b))
(/ a b)
(/.f64 a b)
a
-1
#s(literal -1 binary64)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
2
#s(literal 2 binary64)
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 #s(literal 4 binary64) (*.f64 a c))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize364.0ms (2.1%)

Memory
-19.2MiB live, 630.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.0%
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64)))
accuracy96.5%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy91.6%
(log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64)))
accuracy89.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy96.5%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
accuracy93.6%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy89.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
accuracy89.8%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
accuracy100.0%
(neg.f64 b)
accuracy99.9%
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy98.9%
(>=.f64 b #s(literal 0 binary64))
accuracy94.5%
(sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
accuracy100.0%
(*.f64 #s(literal 2 binary64) a)
accuracy100.0%
(neg.f64 b)
accuracy98.9%
(>=.f64 b #s(literal 0 binary64))
accuracy99.4%
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
accuracy98.9%
(>=.f64 b #s(literal 0 binary64))
accuracy96.5%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy89.8%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
Samples
127.0ms173×0invalid
21.0ms18×2valid
21.0ms44×0valid
15.0ms17×1valid
5.0ms3valid
Compiler

Compiled 632 to 62 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-div: 50.0ms (34% of total)
ival-exp: 34.0ms (23.1% of total)
ival-mult: 23.0ms (15.6% of total)
ival-add: 8.0ms (5.4% of total)
ival-sqrt: 8.0ms (5.4% of total)
ival-sub: 6.0ms (4.1% of total)
ival-if: 6.0ms (4.1% of total)
adjust: 5.0ms (3.4% of total)
ival-log: 3.0ms (2% of total)
ival-neg: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival->=: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series172.0ms (1%)

Memory
-13.3MiB live, 297.1MiB allocated
Counts
25 → 696
Calls
Call 1
Inputs
#<alt (+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2)))>
#<alt (* (/ 1 a) b)>
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (>= b 0)>
#<alt (if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a)))>
#<alt (/ (- (neg b) b) (* 2 a))>
#<alt (- (neg b) b)>
#<alt (+ (neg b) (sqrt (* (* a c) -4)))>
#<alt (/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))>
#<alt (/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))>
#<alt (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)>
#<alt (exp (* (log (* (/ a b) -1)) -1))>
#<alt (* (log (* (/ a b) -1)) -1)>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))>
#<alt (neg b)>
#<alt (* 2 a)>
#<alt (- 0 (/ b a))>
#<alt (sqrt (* (* a c) -4))>
#<alt (/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))>
#<alt (sqrt (+ (* b b) (* a (* c -4))))>
#<alt (sqrt (+ (* b b) (* (* a c) -4)))>
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))>
#<alt (- (sqrt (+ (* b b) (* a (* c -4)))) b)>
#<alt (log (* (/ a b) -1))>
Outputs
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* -2 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -1 b)>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (- (* (sqrt (* a c)) (sqrt -4)) b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))>
#<alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))>
#<alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))>
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))>
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))>
#<alt (+ (log (/ -1 b)) (* -1 (log (/ 1 a))))>
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))>
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))>
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))>
#<alt (+ (log (/ 1 b)) (* -1 (log (/ -1 a))))>
#<alt (+ (log (* -1 a)) (* -1 (log b)))>
#<alt (+ (log (* -1 a)) (* -1 (log b)))>
#<alt (+ (log (* -1 a)) (* -1 (log b)))>
#<alt (+ (log (* -1 a)) (* -1 (log b)))>
#<alt (+ (log (* -1 a)) (log (/ 1 b)))>
#<alt (+ (log (* -1 a)) (log (/ 1 b)))>
#<alt (+ (log (* -1 a)) (log (/ 1 b)))>
#<alt (+ (log (* -1 a)) (log (/ 1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
#<alt (+ (log a) (log (/ -1 b)))>
Calls

174 calls:

TimeVariablePointExpression
43.0ms
a
@0
(* (log (* (/ a b) -1)) -1)
35.0ms
a
@-inf
(* (log (* (/ a b) -1)) -1)
20.0ms
b
@0
(* (log (* (/ a b) -1)) -1)
15.0ms
b
@-inf
(* (log (* (/ a b) -1)) -1)
13.0ms
b
@0
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))

rewrite228.0ms (1.3%)

Memory
-16.5MiB live, 418.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 546×accelerator-lowering-fma.f32
1 546×accelerator-lowering-fma.f64
1 270×*-lowering-*.f32
1 270×*-lowering-*.f64
1 160×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056255
1325200
02632180
Stop Event
iter limit
iter limit
node limit
Counts
25 → 908
Calls
Call 1
Inputs
(+ (* -1/2 (* (/ 1 a) b)) (/ b (/ a -1/2)))
(* (/ 1 a) b)
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(>= b 0)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (- 0 (/ b a)))
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(+ (neg b) (sqrt (* (* a c) -4)))
(/ 1/2 (* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a))
(/ 1 (/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* 2 c)))
(* (/ -1 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(exp (* (log (* (/ a b) -1)) -1))
(* (log (* (/ a b) -1)) -1)
(sqrt (- (* b b) (* (* 4 a) c)))
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(neg b)
(* 2 a)
(- 0 (/ b a))
(sqrt (* (* a c) -4))
(/ (* 2 c) (+ (neg b) (sqrt (* (* a c) -4))))
(sqrt (+ (* b b) (* a (* c -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(- (sqrt (+ (* b b) (* a (* c -4)))) b)
(log (* (/ a b) -1))
Outputs
(+.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal 2 binary64) (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 a (*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 a (/.f64 #s(literal -1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 b (neg.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 0 binary64))
(fma.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal -1/2 binary64) a)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) a) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) a) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
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(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (-.f64 (*.f64 b b) (neg.f64 (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))) (neg.f64 (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (+.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(*.f64 (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(*.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (*.f64 b b) (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(*.f64 (/.f64 (-.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))) (*.f64 b b)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)))) (-.f64 (log.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 #s(literal -1 binary64))))

simplify543.0ms (3.1%)

Memory
60.8MiB live, 1 171.9MiB allocated
Algorithm
egg-herbie
Rules
7 340×*-lowering-*.f32
7 340×*-lowering-*.f64
7 216×accelerator-lowering-fma.f32
7 216×accelerator-lowering-fma.f64
4 894×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120812913
1398412465
0805611998
Stop Event
iter limit
node limit
Counts
696 → 696
Calls
Call 1
Inputs
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (* -1 (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(if (>= b 0) (* -1 (/ b a)) (neg (/ b a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* -2 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* b (- (* (sqrt (* a c)) (/ (sqrt -4) b)) 1))
(* -1 b)
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(* -1 (* b (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))))))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(- (* (sqrt (* a c)) (sqrt -4)) b)
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1 (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))))
(* -1/2 (/ a b))
(/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)
(* -1/2 (/ b c))
(* -1 (* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c)))))))
(* -1 (* b (+ (* -1 (/ (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) (pow c 2))))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ 1 c)) (/ (* (pow a 3) (pow c 2)) (pow b 6))))))))))
(* -1/2 (/ a b))
(* a (- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7))))))))) (* 1/2 (/ 1 b))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* -1/2 (/ a b))
(+ (* -1/2 (/ a b)) (* -1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* -1/2 (/ a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 5))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* -1/2 (/ a b)) (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (* c (+ (* -1 (/ (pow a 3) (pow b 5))) (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (+ (* -1/2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))))) c)
(* 1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* 1/4 b)) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c)) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ -1 b)) (* -1 (log (/ 1 a)))))
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (/ 1 b)) (* -1 (log (/ -1 a)))))
(* -1 (+ (log (* -1 a)) (* -1 (log b))))
(* -1 (+ (log (* -1 a)) (* -1 (log b))))
(* -1 (+ (log (* -1 a)) (* -1 (log b))))
(* -1 (+ (log (* -1 a)) (* -1 (log b))))
(* -1 (+ (log (* -1 a)) (log (/ 1 b))))
(* -1 (+ (log (* -1 a)) (log (/ 1 b))))
(* -1 (+ (log (* -1 a)) (log (/ 1 b))))
(* -1 (+ (log (* -1 a)) (log (/ 1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* -1 (+ (log a) (log (/ -1 b))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -2 (/ c b))
(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)
(* -2 (/ c b))
(* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(+ (log (* -1 a)) (* -1 (log b)))
(+ (log (* -1 a)) (* -1 (log b)))
(+ (log (* -1 a)) (* -1 (log b)))
(+ (log (* -1 a)) (* -1 (log b)))
(+ (log (* -1 a)) (log (/ 1 b)))
(+ (log (* -1 a)) (log (/ 1 b)))
(+ (log (* -1 a)) (log (/ 1 b)))
(+ (log (* -1 a)) (log (/ 1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
(+ (log a) (log (/ -1 b)))
Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) b)
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 b (+.f64 (*.f64 b (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c)))) (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64)))))) #s(literal -1 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
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(* (sqrt (* a c)) (sqrt -4))
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(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a c) (*.f64 (*.f64 a a) (/.f64 (*.f64 c c) (*.f64 b b))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) (*.f64 b b))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (/.f64 c (*.f64 b b))) (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(*.f64 a (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (*.f64 b (*.f64 b b))) (*.f64 a (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(*.f64 a (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(*.f64 a (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (*.f64 c (*.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(*.f64 (+.f64 (/.f64 b a) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) a)) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) a)) b) a))))
(* -2 (/ (* a c) b))
(/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(*.f64 c (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 c (*.f64 a a)) (*.f64 b (*.f64 b b))) (/.f64 a b))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c (*.f64 a (*.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) b) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 b (*.f64 b b))) (*.f64 c (+.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a (*.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 c (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)))))))
(* (sqrt (* a c)) (sqrt -4))
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(*.f64 c (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 c (*.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(*.f64 (+.f64 (/.f64 b c) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (*.f64 c (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (*.f64 a (*.f64 a a))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c))))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (/ -1 b)) (* -1 (log (/ 1 a))))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log (/ 1 b)) (* -1 (log (/ -1 a))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log (* -1 a)) (* -1 (log b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (* -1 (log b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (* -1 (log b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (* -1 (log b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (log (/ 1 b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (log (/ 1 b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (log (/ 1 b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log (* -1 a)) (log (/ 1 b)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log a) (log (/ -1 b)))
(+.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) b)))

eval376.0ms (2.1%)

Memory
6.4MiB live, 755.3MiB allocated
Compiler

Compiled 76 669 to 4 200 computations (94.5% saved)

prune398.0ms (2.3%)

Memory
28.5MiB live, 829.6MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New2 120142 134
Fresh7916
Picked325
Done000
Total2 130252 155
Accuracy
96.5%
Counts
2 155 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
13.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
66.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
40.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b)))
41.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b)))
63.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
56.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
46.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))))
69.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
56.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
35.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
70.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
55.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
56.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
23.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
11.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
73.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))))
73.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
35.3%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
53.4%
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
53.6%
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
35.4%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
Compiler

Compiled 1 564 to 963 computations (38.4% saved)

simplify362.0ms (2.1%)

Memory
11.4MiB live, 796.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a))
cost-diff6400
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
cost-diff0
(*.f64 #s(literal 2 binary64) a)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(-.f64 (neg.f64 b) b)
cost-diff128
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff128
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
cost-diff128
(-.f64 (neg.f64 b) b)
cost-diff128
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
cost-diff0
(/.f64 b a)
cost-diff0
(-.f64 #s(literal 0 binary64) (/.f64 b a))
cost-diff0
(*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
cost-diff0
(>=.f64 b #s(literal 0 binary64))
cost-diff0
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
Rules
13 336×accelerator-lowering-fma.f32
13 336×accelerator-lowering-fma.f64
4 106×*-lowering-*.f32
4 106×*-lowering-*.f64
1 858×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056489
1124474
2270462
3529462
41257462
54571460
08339445
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)))
(>= b 0)
b
0
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
-1/2
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ (* b b) (* (* a c) -4))
(* b b)
(* (* a c) -4)
(* a c)
a
c
-4
(/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b))
(* 2 c)
2
(- (sqrt (+ (* b b) (* (* a c) -4))) b)
(- 0 (/ b a))
0
(/ b a)
b
a
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)))
(>= b 0)
b
0
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(neg b)
(* 2 a)
2
a
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
(+ c (/ (* a (* c c)) (* b b)))
c
(/ (* a (* c c)) (* b b))
(* a (* c c))
(* c c)
(* b b)
(- 0 b)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (* c (/ 2 (- (sqrt (* a (* c -4))) b))))
(>= b 0)
b
0
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(neg b)
(* 2 a)
2
a
(* c (/ 2 (- (sqrt (* a (* c -4))) b)))
c
(/ 2 (- (sqrt (* a (* c -4))) b))
(- (sqrt (* a (* c -4))) b)
(sqrt (* a (* c -4)))
(* a (* c -4))
(* c -4)
-4
(if (>= b 0) (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(>= b 0)
b
0
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2)))
-1/2
(/ (/ 1 b) (/ 1 a))
(/ 1 b)
1
(/ 1 a)
a
(/ b (/ a -1/2))
(/ a -1/2)
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
Outputs
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
-1/2
#s(literal -1/2 binary64)
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))
(sqrt (+ (* b b) (* (* a c) -4)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(+ (* b b) (* (* a c) -4))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* a c) -4)
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* a c)
(*.f64 a c)
a
c
-4
#s(literal -4 binary64)
(/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (sqrt (+ (* b b) (* (* a c) -4))) b)
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(- 0 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
0
#s(literal 0 binary64)
(/ b a)
(/.f64 b a)
b
a
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b)))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b (/.f64 b a))))) b))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (neg b) b)
(*.f64 b #s(literal -2 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(* 2 a)
(/.f64 a #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
a
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
(/.f64 (*.f64 c (-.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b (/.f64 b a))))) b)
(+ c (/ (* a (* c c)) (* b b)))
(*.f64 c (+.f64 (/.f64 c (*.f64 b (/.f64 b a))) #s(literal 1 binary64)))
c
(/ (* a (* c c)) (* b b))
(/.f64 (*.f64 c c) (*.f64 b (/.f64 b a)))
(* a (* c c))
(*.f64 a (*.f64 c c))
(* c c)
(*.f64 c c)
(* b b)
(*.f64 b b)
(- 0 b)
(-.f64 #s(literal 0 binary64) b)
(if (>= b 0) (/ (- (neg b) b) (* 2 a)) (* c (/ 2 (- (sqrt (* a (* c -4))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(/ (- (neg b) b) (* 2 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(- (neg b) b)
(*.f64 b #s(literal -2 binary64))
(neg b)
(-.f64 #s(literal 0 binary64) b)
(* 2 a)
(/.f64 a #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
a
(* c (/ 2 (- (sqrt (* a (* c -4))) b)))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
c
(/ 2 (- (sqrt (* a (* c -4))) b))
(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))
(- (sqrt (* a (* c -4))) b)
(-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)
(sqrt (* a (* c -4)))
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* a (* c -4))
(*.f64 a (*.f64 c #s(literal -4 binary64)))
(* c -4)
(*.f64 c #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(if (>= b 0) (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 a b))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
b
0
#s(literal 0 binary64)
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (/.f64 a b)))
-1/2
#s(literal -1/2 binary64)
(/ (/ 1 b) (/ 1 a))
(/.f64 a b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
1
#s(literal 1 binary64)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
a
(/ b (/ a -1/2))
(/.f64 (/.f64 b a) #s(literal -2 binary64))
(/ a -1/2)
(/.f64 a #s(literal -1/2 binary64))
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
2
#s(literal 2 binary64)
c
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)
(neg b)
(-.f64 #s(literal 0 binary64) b)
(sqrt (- (* b b) (* (* 4 a) c)))
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))
(- (* b b) (* (* 4 a) c))
(+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))
(* b b)
(*.f64 b b)
(* (* 4 a) c)
(*.f64 c (*.f64 a #s(literal 4 binary64)))
(* 4 a)
(*.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)

localize298.0ms (1.7%)

Memory
-6.7MiB live, 560.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy98.2%
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))
accuracy90.9%
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy80.3%
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy99.7%
(*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
accuracy99.6%
(/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy87.2%
(sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64))))
accuracy99.4%
(>=.f64 b #s(literal 0 binary64))
accuracy98.9%
(/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
accuracy91.5%
(*.f64 a (*.f64 c c))
accuracy88.9%
(/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))
accuracy100.0%
(/.f64 b a)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (/.f64 b a))
accuracy97.6%
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
accuracy90.9%
(-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)
accuracy86.6%
(+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))
accuracy80.3%
(sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))
Samples
42.0ms38×2valid
38.0ms95×0invalid
31.0ms81×0valid
27.0ms38×1valid
5.0ms3valid
Compiler

Compiled 503 to 58 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-div: 27.0ms (28.1% of total)
ival-mult: 26.0ms (27.1% of total)
ival-sub: 11.0ms (11.4% of total)
ival-add: 8.0ms (8.3% of total)
ival-sqrt: 8.0ms (8.3% of total)
adjust: 7.0ms (7.3% of total)
ival-if: 6.0ms (6.2% of total)
ival-neg: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival->=: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
10.3MiB live, 47.8MiB allocated
Counts
22 → 636
Calls
Call 1
Inputs
#<alt (if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)))>
#<alt (>= b 0)>
#<alt (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)>
#<alt (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))>
#<alt (- 0 (/ b a))>
#<alt (/ b a)>
#<alt (/ (- (neg b) b) (* 2 a))>
#<alt (- (neg b) b)>
#<alt (/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))>
#<alt (* 2 a)>
#<alt (+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2)))>
#<alt (/ (/ 1 b) (/ 1 a))>
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (sqrt (+ (* b b) (* (* a c) -4)))>
#<alt (+ b (sqrt (+ (* b b) (* (* a c) -4))))>
#<alt (- (sqrt (+ (* b b) (* (* a c) -4))) b)>
#<alt (/ (* a (* c c)) (* b b))>
#<alt (* a (* c c))>
#<alt (sqrt (* a (* c -4)))>
#<alt (* c (/ 2 (- (sqrt (* a (* c -4))) b)))>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>
#<alt (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))>
Outputs
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
#<alt (if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ (pow b 3) (* (pow a 2) (* c (pow (sqrt -4) 4)))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ (* b c) a))) c)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (/ c (- (* (sqrt (* a c)) (sqrt -4)) b)))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* a (pow b 3)) c)) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (pow (sqrt -4) 3)))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (/ b (* (pow a 2) (* c (pow (sqrt -4) 4))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -2 (/ c b))>
#<alt (/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)>
#<alt (/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b)>
#<alt (/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)>
#<alt (* -2 (/ c b))>
#<alt (* -1 (/ (+ (* 2 c) (* 2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) b))) b)) (* 2 c)) b))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1 (/ (+ (* 2 (* a (* (pow c 2) (pow (sqrt -4) 2)))) (* 2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) b)))) b))) b)) (* 2 c)) b))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* -1 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))>
#<alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)>
#<alt (/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)>
#<alt (/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))>
Calls

159 calls:

TimeVariablePointExpression
1.0ms
a
@0
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
1.0ms
c
@0
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
1.0ms
b
@0
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
1.0ms
a
@inf
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
1.0ms
c
@inf
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))

rewrite365.0ms (2.1%)

Memory
-54.6MiB live, 467.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 232×/-lowering-/.f32
3 232×/-lowering-/.f64
2 904×*-lowering-*.f32
2 904×*-lowering-*.f64
2 852×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053240
1330220
23103205
08802184
Stop Event
iter limit
node limit
Counts
22 → 701
Calls
Call 1
Inputs
(if (>= b 0) (/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a) (/ (* 2 c) (- (sqrt (+ (* b b) (* (* a c) -4))) b)))
(>= b 0)
(/ (* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4))))) a)
(* -1/2 (+ b (sqrt (+ (* b b) (* (* a c) -4)))))
(- 0 (/ b a))
(/ b a)
(/ (- (neg b) b) (* 2 a))
(- (neg b) b)
(/ (+ c (/ (* a (* c c)) (* b b))) (- 0 b))
(* 2 a)
(+ (* -1/2 (/ (/ 1 b) (/ 1 a))) (/ b (/ a -1/2)))
(/ (/ 1 b) (/ 1 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(sqrt (+ (* b b) (* (* a c) -4)))
(+ b (sqrt (+ (* b b) (* (* a c) -4))))
(- (sqrt (+ (* b b) (* (* a c) -4))) b)
(/ (* a (* c c)) (* b b))
(* a (* c c))
(sqrt (* a (* c -4)))
(* c (/ 2 (- (sqrt (* a (* c -4))) b)))
(sqrt (- (* b b) (* (* 4 a) c)))
(/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(>=.f64 b #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
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(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 #s(literal 64 binary64) (*.f64 a (*.f64 a a)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(*.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(neg.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(neg.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 c #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (*.f64 c #s(literal -2 binary64))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(/.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 c #s(literal -2 binary64)))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 c #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(*.f64 c (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (*.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))

simplify861.0ms (4.9%)

Memory
-18.5MiB live, 1 085.6MiB allocated
Algorithm
egg-herbie
Rules
9 176×accelerator-lowering-fma.f32
9 176×accelerator-lowering-fma.f64
6 626×*-lowering-*.f32
6 626×*-lowering-*.f64
6 398×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109311721
1358411474
0815310991
Stop Event
iter limit
node limit
Counts
636 → 636
Calls
Call 1
Inputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 b) (* -1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1/2)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) 1/2)))
(* -1 b)
(* b (- (/ (* a c) (pow b 2)) 1))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1))
(* -1 (/ (* a c) b))
(* -1 (/ (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* a c) (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 b)
(+ (* -1 b) (/ (* a c) b))
(+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))))
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(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (/ (* a (pow c 2)) (pow b 3)))
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(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
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(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
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(* 2 a)
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(/ (+ (* -1/2 a) (* -1/2 (/ (pow b 2) a))) b)
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(/ (+ (* -1/2 b) (* -1/2 (/ (pow a 2) b))) a)
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(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
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b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
(+ b (* -2 (/ (* a c) b)))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
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(* 2 b)
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(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -4))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* 2 b)
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(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
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(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
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(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
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(/ (* a (pow c 2)) (pow b 2))
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(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
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(/ (* a (pow c 2)) (pow b 2))
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(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
(/ (* a (pow c 2)) (pow b 2))
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(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
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(* a (pow c 2))
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(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
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(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (pow b 3) (* a (* c (pow (sqrt -4) 4)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
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(/ (+ (* -2 c) (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b)))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2))))) b)
(/ (+ (* -2 c) (+ (* -2 (* (sqrt (* a (pow c 3))) (/ (sqrt -4) b))) (+ (* -2 (* (sqrt (* (pow a 3) (pow c 5))) (/ (pow (sqrt -4) 3) (pow b 3)))) (* -2 (/ (* a (* (pow c 2) (pow (sqrt -4) 2))) (pow b 2)))))) b)
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* -1 b)
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b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
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(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
Outputs
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))))) a) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b))) b)))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(>= b 0)
(>=.f64 b #s(literal 0 binary64))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (*.f64 a (*.f64 a a))))) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b c) a))) c))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a))))) #s(literal 1/8 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 b (*.f64 b b)))) (*.f64 a a)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 a (*.f64 a a)))))))) (-.f64 #s(literal 0 binary64) c)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b c) a))) c))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+.f64 (/.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 b #s(literal -2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) a)) (*.f64 b (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 b (+.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 c (*.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) c)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))))))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(*.f64 b (+.f64 (/.f64 c (*.f64 b b)) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(*.f64 b (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 a a)) (/.f64 #s(literal 20 binary64) c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64)))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 a (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (+.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 4 binary64))) #s(literal -5/2 binary64))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a)
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 c b) (*.f64 a (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 a (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 b (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) c)) (*.f64 c (/.f64 (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64)) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 c c) (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))))))) b) a)
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a)
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64))) (*.f64 a a))) a)
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a)
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64)) (*.f64 a a)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 a a) c) (/.f64 (*.f64 b (*.f64 b b)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b (*.f64 (*.f64 (/.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (+.f64 (*.f64 b #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64))) a)) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b a)) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 b b)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c))) #s(literal -1/16 binary64)))))) a)) a)) a)) (neg.f64 a))

eval217.0ms (1.2%)

Memory
62.0MiB live, 628.2MiB allocated
Compiler

Compiled 58 932 to 3 966 computations (93.3% saved)

prune231.0ms (1.3%)

Memory
-32.2MiB live, 509.3MiB allocated
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New1 492261 518
Fresh81018
Picked325
Done022
Total1 503401 543
Accuracy
97.4%
Counts
1 543 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.5%
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
13.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
68.8%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
56.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
56.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
63.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
62.1%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
70.0%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
53.6%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)))))
46.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b))))
45.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b))))
56.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
63.7%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
23.2%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
11.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
66.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
73.5%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))))
73.4%
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
73.3%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
3.2%
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
53.4%
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
53.6%
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
2.2%
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
2.5%
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
35.3%
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
22.3%
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
2.1%
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
35.4%
(/.f64 b (neg.f64 a))
2.5%
(/.f64 b a)
2.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
2.5%
(/.f64 #s(literal 1 binary64) (/.f64 a b))
35.3%
(/.f64 #s(literal -1 binary64) (/.f64 a b))
12.8%
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
13.6%
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
19.1%
(-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (*.f64 (log.f64 b) #s(literal -1 binary64)))))
2.1%
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
2.5%
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
35.3%
(*.f64 b (/.f64 #s(literal -1 binary64) a))
4.9%
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
Compiler

Compiled 2 856 to 904 computations (68.3% saved)

regimes92.0ms (0.5%)

Memory
-45.0MiB live, 144.9MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 c b) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) c))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) (+.f64 b (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 1/2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 c #s(literal 2 binary64)) (+.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a c) #s(literal 16 binary64)))) #s(literal 1/4 binary64)) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (pow.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c))) #s(literal 1/4 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (/.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (+.f64 (*.f64 b (*.f64 b (*.f64 b b))) (-.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 a c)) (*.f64 a c)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))))) (+.f64 (*.f64 b b) (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a b) #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 a #s(literal -4 binary64))) (sqrt.f64 c)) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 a)) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (*.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))))
(-.f64 #s(literal 0 binary64) (exp.f64 (-.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (*.f64 (log.f64 b) #s(literal -1 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) a)) (log.f64 b)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 c) #s(literal -2 binary64)))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (neg.f64 (*.f64 (log.f64 a) #s(literal -2 binary64)))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (*.f64 (*.f64 c c) #s(literal 16 binary64))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b)))
(/.f64 b (neg.f64 a))
Calls

4 calls:

20.0ms
c
19.0ms
b
18.0ms
a
18.0ms
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Results
AccuracySegmentsBranch
77.2%2a
92.9%3b
77.2%2c
92.9%5(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))
Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes16.0ms (0.1%)

Memory
27.1MiB live, 27.1MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
(/.f64 b (neg.f64 a))
Calls

1 calls:

11.0ms
b
Results
AccuracySegmentsBranch
92.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-11.3MiB live, 27.0MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
(/.f64 b (neg.f64 a))
Calls

1 calls:

12.0ms
b
Results
AccuracySegmentsBranch
92.8%3b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-14.4MiB live, 24.2MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b) (*.f64 c #s(literal 2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
79.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
Calls

1 calls:

9.0ms
b
Results
AccuracySegmentsBranch
79.7%2b
Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Memory
8.9MiB live, 47.3MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 b #s(literal -2 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(literal -1 binary64) (/.f64 b (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (*.f64 (/.f64 (*.f64 a c) b) (/.f64 c b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 b b))) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (*.f64 b (/.f64 a #s(literal -1/2 binary64))) (*.f64 (/.f64 a #s(literal -1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal -1/2 binary64)) (/.f64 a #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 (+.f64 (*.f64 b b) (*.f64 b (*.f64 #s(literal 0 binary64) b))) (*.f64 b #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
Calls

3 calls:

10.0ms
a
9.0ms
c
9.0ms
b
Results
AccuracySegmentsBranch
70.0%1c
70.0%1a
70.0%1b
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.1%)

Memory
-13.0MiB live, 29.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(/.f64 b a)
(/.f64 b (neg.f64 a))
(*.f64 b (/.f64 #s(literal -1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b b) (*.f64 (-.f64 #s(literal 0 binary64) a) b))
(/.f64 (*.f64 b b) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) b)))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 a (/.f64 #s(literal -1 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b))
(/.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 b a))
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b (*.f64 a (/.f64 a b))) (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b a) (/.f64 b (*.f64 a (/.f64 a b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
Outputs
(/.f64 b (neg.f64 a))
Calls

3 calls:

8.0ms
b
6.0ms
a
5.0ms
c
Results
AccuracySegmentsBranch
35.4%1a
35.4%1b
35.4%1c
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 b a)
Outputs
(/.f64 b a)
Calls

3 calls:

1.0ms
a
1.0ms
c
1.0ms
b
Results
AccuracySegmentsBranch
2.5%1c
2.5%1a
2.5%1b
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch23.0ms (0.1%)

Memory
-8.8MiB live, 29.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
2.0ms
9.727360380364054e+136
7.764157197757278e+141
17.0ms
-9.31512872727779e+170
-5.729970198960289e+168
Samples
14.0ms128×0valid
0.0ms0invalid
Compiler

Compiled 519 to 298 computations (42.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (45.6% of total)
ival-div: 2.0ms (18.2% of total)
ival-add: 1.0ms (9.1% of total)
ival-if: 1.0ms (9.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-sqrt: 1.0ms (9.1% of total)
ival-neg: 1.0ms (9.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Memory
16.5MiB live, 54.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
24.0ms
9.727360380364054e+136
7.764157197757278e+141
16.0ms
-9.31512872727779e+170
-5.729970198960289e+168
Samples
26.0ms256×0valid
0.0ms0invalid
Compiler

Compiled 903 to 514 computations (43.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.8% of total)
ival-div: 3.0ms (15.8% of total)
ival-sub: 2.0ms (10.5% of total)
ival-sqrt: 2.0ms (10.5% of total)
ival-add: 1.0ms (5.3% of total)
ival-if: 1.0ms (5.3% of total)
ival->=: 1.0ms (5.3% of total)
ival-neg: 1.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch69.0ms (0.4%)

Memory
-34.0MiB live, 47.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.727360380364054e+136
7.764157197757278e+141
23.0ms
-1.47996602617278e+76
-3.338806972643086e+74
Samples
32.0ms256×0valid
1.0ms0invalid
Compiler

Compiled 903 to 578 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (34.7% of total)
ival-mult: 7.0ms (27% of total)
ival-sub: 2.0ms (7.7% of total)
ival-sqrt: 2.0ms (7.7% of total)
ival-add: 1.0ms (3.9% of total)
ival-if: 1.0ms (3.9% of total)
ival->=: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
32.5MiB live, 32.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
23.0ms
-2.672967519105415e-61
-8.574864388692485e-64
Samples
13.0ms128×0valid
4.0ms40×0invalid
Compiler

Compiled 436 to 290 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (39.6% of total)
ival-div: 2.0ms (15.8% of total)
ival-sub: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-if: 1.0ms (7.9% of total)
ival-sqrt: 1.0ms (7.9% of total)
ival-neg: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch44.0ms (0.2%)

Memory
-14.3MiB live, 24.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
40.0ms
-2.672967519105415e-61
-8.574864388692485e-64
Samples
32.0ms128×0valid
3.0ms28×0invalid
Compiler

Compiled 436 to 290 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-if: 20.0ms (65.2% of total)
ival-mult: 5.0ms (16.3% of total)
ival-div: 2.0ms (6.5% of total)
ival-add: 1.0ms (3.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-sqrt: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival->=: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary64
32×+-commutative_binary64
26×sub-neg_binary64
18×neg-mul-1_binary64
16×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075303
1102303
2119303
3130303
4139303
5150303
6155303
7158303
8159303
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(/.f64 b (neg.f64 a))
(/.f64 b a)
Outputs
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) a) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -5800000000000000119183667414356643695783248688015152588424036641599415415491255295795167236813918123661590597937129962934323090711206821216791464779337998972729270730752 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 74999999999999999157837342739126461164449402313115678021400092147999929094165123293771142490522826825350160660247758430442576672449070366720 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64)))))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b))) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64)))))) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (/.f64 b (neg.f64 a))))
(if (<=.f64 b #s(literal -11999999999999999921946396247269524853086684752974915908253253928760765317120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (<=.f64 b #s(literal 44999999999999999494702405643475876698669641387869406812840055288799957456499073976262685494313696095210096396148655058265546003469442220032 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 a (*.f64 c #s(literal -4 binary64))))) b)))) (-.f64 #s(literal 0 binary64) (/.f64 b a))))
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (<=.f64 b #s(literal -3195861662949927/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b))))
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))))
(if (<=.f64 b #s(literal -1628326254899759/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (*.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 a (*.f64 c #s(literal -4 binary64)))) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b b)) (*.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/.f64 b a)

soundness2.6s (14.6%)

Memory
10.0MiB live, 560.1MiB allocated
Rules
12 470×accelerator-lowering-fma.f32
12 470×accelerator-lowering-fma.f64
9 176×accelerator-lowering-fma.f32
9 176×accelerator-lowering-fma.f64
7 850×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049302
1263286
22378284
08386265
0120812913
1398412465
0805611998
053240
1330220
23103205
08802184
056255
1325200
02632180
0165817878
1554017266
0809916479
0109311721
1358411474
0815310991
01756
17855
265453
0961449
06253723
120063687
266133641
083453472
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 186 to 631 computations (46.8% saved)

preprocess163.0ms (0.9%)

Memory
-26.3MiB live, 206.9MiB allocated
Compiler

Compiled 730 to 186 computations (74.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...